1. | A point moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one. The locus of the path traced by the point will be a |
A. | Cycloid |
B. | Hyperbola |
C. | Circle |
D. | Involute |
E. | Ellipsc |
Answer» D. Involute |
2. | A cannon of barrel length 2 m fires a shell of weight 6 kg with a muzzle velocity of 50 m/sec. The force exerted by the gases on the shell would be approximately |
A. | 76 t |
B. | 19 t |
C. | 152 t |
D. | 8.5 t |
E. | 38 t |
Answer» E. 38 t |
3. | According to the principle of transmissibility of forces, when a force acts upon a body ; its effect is |
A. | Minimum when it acts at C.G. of the body |
B. | Maximum when it acts at C.G. of the body |
C. | Different at different points of body |
D. | Same at every point in its line of action |
E. | None of the above |
Answer» D. Same at every point in its line of action |
4. | Using force, length and time as fundamental quantities, the dimensions of mass would be |
A. | FL-2T+2 |
B. | FL-1T+2 |
C. | FL-1T+1 |
D. | 107 dynes |
E. | FL-2T+1 |
Answer» B. FL-1T+2 |
5. | Minimum horsepower of pump required for filling 50m3 water tank, 20 metres high from ground in 30 minutes by lifting water from a well 5 metres below the ground level is |
A. | 5.45 KW |
B. | 7.5 KW |
C. | 6.81 KW |
D. | Tapered bearing |
E. | 66.8 KW |
Answer» C. 6.81 KW |
6. | A bob of simple pendulum oscillating in air is made to oscillate in oil. The time period will |
A. | Increase |
B. | Decrease |
C. | Not change |
D. | Decrease but reduction depends on viscosity of oil |
E. | None of the above |
Answer» A. Increase |
7. | A weight of 4.9 N rests on a rough horizontal floor that has a coefficient of friction of 0.5. If g = 9.8 m/s2, the smallest horizontal force that gives the weight an acceleration of 4m/s2 is most nearly |
A. | 2.5 N |
B. | 3 N |
C. | 2 N |
D. | 4.5 N |
E. | 4.9 N |
Answer» D. 4.5 N |
8. | Two forces of 6 and 8 kg act at right angles to each other, the resultant force will be |
A. | 100 |
B. | 28 |
C. | 41 |
D. | 14 |
E. | 10 |
Answer» E. 10 |
9. | The resultant of coplaner parallel forces is found by load line diagram, while the position is found by |
A. | link polygen |
B. | funicular polygon |
C. | string polygon |
D. | any of the above |
E. | 107 dynes |
Answer» D. any of the above |
10. | The units of moment of inertia of an area are |
A. | kg – m |
B. | m4 |
C. | kg – m4 |
D. | kg – m3 |
E. | (kg – m)2 |
Answer» B. m4 |
11. | Te dimensions of frequency are |
A. | 107 dynes |
B. | MLT |
C. | L-1 |
D. | T-1 |
E. | L-1T-1 |
Answer» D. T-1 |
12. | When a train is rounding a curve to prevent side thrust on the wheel flanges of cars |
A. | Opposite thrust is created to counter balance this thrust |
B. | Guide rail sections are provided to take care of thrust |
C. | Thrust eliminators are provided in the train |
D. | Outside rails are realised |
E. | Rail section is made thick on curvature |
Answer» D. Outside rails are realised |
13. | Instantaneous centre for a rolling wheel on a straight track will be at |
A. | 107 dynes |
B. | A |
C. | B |
D. | C |
E. | D |
Answer» E. D |
14. | A 100 kg flywheel having a radius of gyration of 1 m is rotating at 1000 rpm. The angular momentum of the flywheel about its axis of rotation, in kg m2/s is |
A. | 1000 |
B. | 107 dynes |
C. | 10,000 |
D. | 10,470 |
E. | 5235 |
Answer» D. 10,470 |
15. | M.I. of sphere of 0.5 m radius about a mutually perpendicular axis (Z-axis) when its M.I. about X-axis and Y-axis are 50 kgm2 and 50 kgm2 is |
A. | 50 Kgm2 |
B. | Tapered bearing |
C. | 100 Kgm2 |
D. | 25 Kgm2 |
E. | 12.5 Kgm2 |
Answer» A. 50 Kgm2 |
16. | Three forces A, B and C of magnitudes 8 N, 12 N and 20 N acting on a particle are in equilibrim. It can be concluded that |
A. | 107 dynes |
B. | B and C act in opposite directions |
C. | one of the forces in non-coplaner |
D. | A and B act at 90? |
E. | one of the forces is non-concurrent |
Answer» B. B and C act in opposite directions |
17. | A cylindrical bar 10 metres long elongates 0.1 mm under a load. The strain in the material of the bar will be |
A. | 10–4 |
B. | 10–5 |
C. | 10–7 |
E. | All of the above |
Answer» B. 10–5 |
18. | The limiting force of fiction is |
A. | The friction force acting on a body when it is in motion |
B. | The value of friction force which stops the movement of the body |
C. | The value of friction force which cannot exceed under a situation |
D. | The friction force acting when the body is just about to move |
E. | Double of the normal friction |
Answer» D. The friction force acting when the body is just about to move |
19. | If a solid sphere rolls on a horizontal surface, then the ratio of its rotational kinetic energy to its total kinetic energy is |
A. | 1 ; 7 |
B. | 3 ; 7 |
C. | 107 dynes |
D. | 4 ; 7 |
E. | 2 ; 7 |
Answer» E. 2 ; 7 |
20. | Which of the following is scalar quantity |
A. | Area of triangle |
B. | Displacement of a particle |
C. | Acceleration of car |
D. | Force of friction |
E. | Velocity a gear |
Answer» A. Area of triangle |
21. | The gravitational field at the surface of the moon is one sixth of that at the surface of the earth. A 72 kg man weighs on the surface of the moon |
A. | 137.7 N |
B. | 250 |
C. | 72 N |
D. | 420 N |
E. | 117.7 N |
Answer» E. 117.7 N |
22. | If three non-parallel forces hold a rigid body in equilibrium, they must |
A. | be non-coneurrent |
B. | be colinear |
C. | 107 dynes |
D. | be equal in magnitude |
E. | be concurrent |
Answer» E. be concurrent |
23. | A stone dropped from a baloon that was ascending at the rate of 30 ft/sec, reaches ground after 10 secs. The height of the baloon where stone was dropped was |
A. | 3420 ft |
B. | 107 dynes |
C. | 4520 ft |
D. | 2310 ft |
E. | 1310 ft |
Answer» E. 1310 ft |
24. | A force F = 2i + 3j – k is passing through the origin. Its moment about point (1, 1, 0) is |
A. | 107 dynes |
B. | i + j + k |
C. | 2i + 3j |
D. | zero |
E. | i – j – k |
Answer» B. i + j + k |
26. | In actual machines | |||
A. | Mechanical advantage is unity | |||
B. | Mechanical advantage is greater than velocity ratio | |||
C. | Mechanical advantage is less than velocity ratio | |||
D. | Mechanical advantage is less than unity | |||
E. | Mechanical advantage is equal to velocity ratio | |||
Answer» C. Mechanical advantage is less than velocity ratio | ||||
27. | The polar moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter of 6 cm will be |
A. | 137.5 cm4 |
B. | 107 dynes |
C. | 275 cm4 |
D. | 550 cm4 |
E. | 1100 cm4 |
Answer» C. 275 cm4 |
28. | Which of the following is not a unit of energy? |
A. | Joule |
B. | kW |
C. | N-m |
D. | Electron volt |
E. | Watt-hour |
Answer» B. kW |
29. | If a gymnast sitting on a rotating stool, with his arms outstretched suddenly lowers his arm |
A. | the angular velocity will remain constant |
B. | the angular momentum will increase |
C. | the angular velocity will decrease |
D. | his moment of inertia will decrease |
E. | 107 dynes |
Answer» D. his moment of inertia will decrease |
30. | The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be |
A. | 2.7 |
B. | 2.55 |
C. | 107 dynes |
D. | 2.6 |
E. | 2.65 |
Answer» A. 2.7 |
31. | Work done by a body of mass 100 kg moving along a circular path of radius 2 m with a uniform velocity of 10 m/sec is |
A. | 5000 J |
B. | 2500 J |
C. | 509.68 J |
D. | None of the above |
E. | Tapered bearing |
Answer» D. None of the above |
32. | A stone is thrown up from the foot of tower 50 m high with a velocity of 25 m/sec and at the same time another stone is dropped from the top of tower, the two stones will cross each other after |
A. | 3 sec |
B. | 5 sec |
C. | 4 sec |
D. | 4.5 sec |
E. | 2 sec |
Answer» E. 2 sec |
33. | The moment of a force is |
A. | Equivalent to the algebraic sum of the moments acting on a body |
B. | Equivalent to the sum of horizontal as well as vertical components of the moments on a body |
C. | Equivalent to the sum of the moments acting on a body |
D. | Equivalent to the sum of horizontal components of the moments on a body |
E. | Equivalent to the vertical sum of the moments acting on a body |
Answer» A. Equivalent to the algebraic sum of the moments acting on a body |
34. | Which of the following statement is false? |
A. | The potential energy of a particle has the form Ep = k2x. The force acting on the particle is constant (k is a constant) |
B. | The linear velocity of bodies near the earth’s equator (due to rotation of earth) is more than the velocities of particles at the pole |
C. | 107 dynes |
D. | A cyclist should move along a zig-zag path while ascending a steep hill |
E. | The density of milk decreases when cream is taken out of milk |
Answer» E. The density of milk decreases when cream is taken out of milk |
35. | A gun fires shell with a muzzle velocity of 600 m/sec. The angle of inclination of the gun so that the shell hits a target at a distance of 32 km at level 100 m higher than the gun would be approximately? |
A. | 60? |
B. | 45? |
C. | 30? |
D. | 15? |
E. | Either of (A) and (C) |
Answer» E. Either of (A) and (C) |
36. | A crate weighing 40 kg rests on a cart moving with an acceleration W. The coefficient of friction between the cart and the crate is |
A. | 2.45 m/sec2 |
B. | 4.00 m/sec2 |
C. | 0.25 m/sec2 |
D. | 4.16 m/sec2 |
E. | 1.25 m/sec2 |
Answer» A. 2.45 m/sec2 |
37. | A flywheel 200 cm in diameter is rotating at 100 rpm. A point one the rim of the flywheel will not have |
A. | angular velocity |
B. | centripetal acceleration |
C. | tangential acceleration |
D. | all of the above |
E. | 107 dynes |
Answer» A. angular velocity |
38. | A man wished to move a block of size 3 m x 3 m weighing 80 kg. The coefficient of friction between the block and the ground is 0.27. Which of the following methods should be used? |
A. | Slide along the ground by pushing |
B. | Ask for cranes |
C. | Pull it |
D. | Tip it over |
E. | Lift it bodily |
Answer» D. Tip it over |
39. | The centroid of a triangle is at the inter-section of |
A. | perpendicular bisectors |
B. | 107 dynes |
C. | base and perpendicular from opposite vertex |
D. | perpendiculars down from the corners |
E. | medians |
Answer» E. medians |
40. | If there are 3 pulleys in the first system, then the velocity ratio of this system will be |
A. | 8 |
B. | 2 |
C. | 4 |
D. | 107 dynes |
E. | 6 |
Answer» A. 8 |
41. | A locomotive of weight 100 tonnes is attached to train of wagons weighing 1000 tonnes. The locomotive pulls the wagons with a constant velocity of 36 km/hour. When the coupling between the train and wagons breaks, the wagons roll on 95 m in 10 sec. The distance between the locomotive and the wagons at this instant assuming that the forces acting on the train are unaltered would be |
A. | 0.36 m |
B. | 0.44 m |
C. | 0.77 m. |
D. | 0.5 m |
E. | 0.66 m |
Answer» D. 0.5 m |
42. | A dash pot consists of a cylinder 10 cm in diameter in which slides a piston 12 cm long having a radial clearance of 1 mm. The cylinder is filled with oil having a viscosity of 1 poise. What will be the resistance offered by the piston to sliding with a velocity of 3 cm/sec |
A. | 1090 kg |
B. | 100 kg |
C. | 10900 kg |
D. | 10 kg |
E. | 50 kg |
Answer» C. 10900 kg |
43. | A roller coaster reaches a velocity of 20 m/s at a location where the radius of curvature is 40 m. Calculate the acceleration in m/s2? |
A. | 10 |
B. | 9 |
C. | 11 |
D. | 8 |
E. | 107 dynes |
Answer» A. 10 |
44. | Rain drops (assumed to be spherical) of radii R1, 2R1, 3R, 4R, |
A. | all of them will be zero |
B. | all of them will be same |
C. | drops of radius R will be maximum |
D. | drops of radius R will be minimum |
E. | 107 dynes |
Answer» D. drops of radius R will be minimum |
45. | A rigid body is in equilibrium under the action of these forces when |
A. | These forces are equal |
B. | The lines of action of these forces are parallel |
C. | The lines of action of these forces meet in a point |
D. | (A) and (B) above |
E. | (B) and (C) above |
Answer» E. (B) and (C) above |
46. | The coefficient of static friction will have the highest value in case of |
A. | Mild steel and mild steel |
B. | Mild steel and copper |
C. | Cast iron and steel |
D. | Rope and wood |
E. | Any of the above loctions |
Answer» D. Rope and wood |
47. | A wheel accelerates from rest with an acceleration of 6 rad/sec2. How many revolutions are experienced in 4 seconds? |
A. | 12.36 |
B. | 25.6 |
C. | 9.82 |
D. | 107 dynes |
E. | 7.64 |
Answer» E. 7.64 |
48. | The moment of inertia of a body does not depend upon |
A. | The angular velocity of the body |
B. | Mass of the body |
C. | The distribution of mass in the body |
D. | The axis of rotation of the body |
E. | None of the above |
Answer» A. The angular velocity of the body |
49. | The tension in the wire rope supporting a lift moving with a uniform velocity |
A. | Is more when the lift is moving upwards |
B. | Is more when the lift is moving downwards |
C. | Is less when the lift is moving down-wards |
D. | Is less when the lift is moving upwards |
E. | Remains constant irrespective of the lift movement |
Answer» E. Remains constant irrespective of the lift movement |
51. | A flywheel weighs 400 kg and has a radius of gyration of 30 cm about its axis of rotation. It is mounted on a shaft subjected to a moment of 40 kgm. If the flywheel starts from restits speed after 3 seconds wil be | |||
A. | 10.9 rad/sec | |||
B. | 19.0 rad/sec | |||
C. | 51.2 rad/sec | |||
D. | 3.33 rad/sec | |||
E. | 16.35 rad/sec | |||
Answer» D. 3.33 rad/sec | ||||
52. | The satellite moves in a circle around the earth. The radius of this circle is equal to one-half the radius of the moons orbit. The satellite will complete one revolution in |
A. | 1 lunar month |
C. | 2-3/4 lunar month |
D. | 2-2/3 lunar month |
E. | None of the above |
Answer» E. None of the above |
53. | In a tug of war, five men pull a rope to the left at A and six moen pull the rope at B. A weight of 5 kg is hung vertically from the centre of the rope. In order that the rope AB be horizontal |
A. | the force applied on A must be equal to that on B |
B. | at least one man on side B should be removed |
C. | infinite force will be required to be applied at both ends |
D. | the force required on A must not be equal to that on B |
E. | 107 dynes |
Answer» C. infinite force will be required to be applied at both ends |
54. | For the maximum range of a projectile the angle of projection should be |
A. | 90? |
B. | 30? |
C. | 22 |
D. | 45? |
E. | 15? |
Answer» D. 45? |
55. | In a torsion pendulum |
A. | The body attached to the lower end of wire or rod must be elastic |
B. | The clamp must be elastic |
C. | The clamp must be elastic |
D. | (A) and (B) above |
E. | (A), (B) and (C) together |
Answer» C. The clamp must be elastic |
56. | A train moving at 60 kilometers per hour is struck by a bullet moving 1000 m/sec at right angles to the train. The direction with which the bullet appears to strike the train would be |
A. | 75? |
B. | 60? |
C. | 22 |
D. | 30? |
E. | 45? |
Answer» E. 45? |
57. | A cable is supported at A and B, in which B is higher than A. The tension in the cable will be maximum at |
A. | A |
B. | A and B |
C. | C |
D. | B |
E. | 107 dynes |
Answer» D. B |
58. | A column has its equivalent length equal to its length in case of |
A. | one end fixed, other free |
B. | both ends hinged |
C. | one end hinged, other free |
D. | 107 dynes |
E. | both end fixed |
Answer» B. both ends hinged |
59. | A particle in SHM while passing through mean position will have |
A. | maximum kinetic energy and maximum potential energy |
B. | 107 dynes |
C. | maximum kinetic energy and minimum potential energy |
D. | average kinetic energy and average potential energy. |
E. | minimum kinetic energy and maximum potential energy |
Answer» C. maximum kinetic energy and minimum potential energy |
60. | A jet of water of cross-sectional area 20 sq. cm impinges on a plate at an angle of 60? with a velocity of 10 m/sec. Neglecting the friction between the jet and plate (density of water 1000/9.81 kgm-1 sec2 per cubic meter), the force exerted by the jet on the plate would be in the range |
A. | 15 – 20 kg |
B. | 20 – 25 kg |
C. | 5 – 10 kg |
D. | 25 – 30 kg |
E. | 10 – 15 kg |
Answer» A. 15 – 20 kg |
61. | A flywheel starting from rest and accelerating uniformly performs 25 revolutions in 5 sec. Its angular velocity in rpm after 10 seconds would be |
A. | 50 rpm |
B. | 20 rpm |
C. | 25 rpm |
D. | 60 rpm |
E. | 45 rpm |
Answer» B. 20 rpm |
62. | The dimensions of gravitational constant G |
A. | MLT-2 |
B. | M-1L3T-2 |
C. | Ellipsc |
D. | ML2T-1 |
E. | MLT-1 |
Answer» B. M-1L3T-2 |
63. | The coefficient of friction is |
A. | The tangent of the angle between the normal reaction and direction of limiting friction |
B. | The tangent of the angle between the normal reaction and the resultant of the normal reaction and the limiting friction |
C. | The tangent of the angle of the net resultant force with the direction of motion |
D. | The tangent of the angle between the horizontal plane and the resultant force |
E. | The angle between the normal reaction and the resultant of normal reaction and the limiting friction |
Answer» A. The tangent of the angle between the normal reaction and direction of limiting friction |
64. | The maximum frictional force which comes into play when a body just begins to slide over the surface of another body is known as |
A. | Kinetic friction |
B. | Rolling friction |
C. | Dynamic friction |
D. | Limiting friction |
E. | Sliding friction |
Answer» D. Limiting friction |
65. | In planetary motion |
A. | The total angular momentum remains constant |
B. | The total linear momentum remains constant |
C. | The total linear momentum is zero |
D. | The total angular momentum is zero |
E. | None of the above |
Answer» A. The total angular momentum remains constant |
66. | The moment of inertia of a semi-circle of radius r with respect to a centroidal axis parallel to the diameter is |
A. | 0.33 r2 |
B. | 0.11 r2 |
C. | 0.055 r2 |
D. | 0.05 r2 |
E. | 0.22 r2 |
Answer» B. 0.11 r2 |
67. | A satellite orbits the earth 200 km above the surface. What speed, in m/s, is necessary for a circular orbit? The radius of the earth is 6400 km and g = 9.2 m/s2 |
A. | 7200 |
B. | 6600 |
C. | 7800 |
D. | 6000 |
E. | 107 dynes |
Answer» C. 7800 |
68. | The curve of a catenary by nature is |
A. | hyperbolic |
B. | ellipse |
C. | 107 dynes |
D. | circular |
E. | parabolic |
Answer» E. parabolic |
69. | The power of a locomotive is 315 kW and the total weight of the train is 2000 kN. If the track resistance is qN per kN, the maximum speed that the locomotive can attain on level track will be |
A. | 103 kmph |
B. | 83 kmph |
C. | 107 dynes |
D. | 43 kmph |
E. | 63 kmph |
Answer» E. 63 kmph |
70. | If for power transmission a gear train consisting of 11 gears is used, then |
A. | the motion of driver and follower will be in the same direction |
B. | The motion of driver and follower will be in the opposite direction |
C. | either of (A) or (B) above |
D. | None of the above |
E. | 107 dynes |
Answer» A. the motion of driver and follower will be in the same direction |
71. | A body weighing one tonne falls through 8 cm on to a spring of stiffness 500 kg/cm the spring will be compressed through |
A. | 8 cm |
B. | 6 cm |
C. | 4 cm |
D. | 10 cm |
E. | 12 cm |
Answer» A. 8 cm |
72. | What is the total acceleration of a point on the rim of a flywheel 4 mts in diameter 0.6 see after it has started from rest if it accelarates uniformly from rest to 2000 rpm in 20 secs. |
A. | 68.9 mts/sec2 |
B. | 102.6 mts/sec2 |
C. | 78.94 mts/sec2 |
D. | 107 dynes |
E. | 33.2 mts/sec2 |
Answer» C. 78.94 mts/sec2 |
73. | Two identical weights are dropped simultaneously, one on water and the other in glycerine. Which of the following statement is correct? |
A. | The weight will settle slowly in water but quickly in glycerine |
B. | The weights will take same time to settle |
C. | The water level will fall but glycerine level will rise |
D. | The weight will settle quickly in water but slowly in glycerine |
E. | 107 dynes |
Answer» D. The weight will settle quickly in water but slowly in glycerine |
74. | A wound watch spring possesses energy in the form of |
A. | Mechanical potential energy |
B. | Kinetic energy |
C. | Spring energy |
D. | Potential energy |
E. | Both potential and kinetic energy |
Answer» A. Mechanical potential energy |
75. | The earth’s gravitational force field is said to be conservative force field because |
A. | The work acted by the earth’s gravitational field on a particle is independent on the path traced out by the particle |
B. | The work acted by the erth’s gravitational field will cause same path for all particles irrespective of their mass |
C. | The direction of gravitational force is fixed |
D. | The gravitational field has only single directional component always acting normal to a body |
E. | The value of gravitational force rise is fixed |
Answer» A. The work acted by the earth’s gravitational field on a particle is independent on the path traced out by the particle |
76. | A body is vibrating with simple harmonic motion of aplitude 5 cm frequency 10 vibrations per second. The maximum value of velocity in cm/s will be |
A. | 3.14 cm/s |
B. | 314 cm/s |
C. | 3140 cm/s |
D. | 31.4 cm/s |
E. | 31400 cm/s |
Answer» B. 314 cm/s |
77. | The statement that the sum of the kinetic and potential energies of a particle in the earth’s gravitational field is constant is known as |
A. | Principle of conservation of mechanical energy |
B. | Law of gravitation |
C. | Newton’s law |
D. | Principle of conservation of momentum |
E. | Law of nature |
Answer» A. Principle of conservation of mechanical energy |
78. | Which of the following is an example of a projectile? |
A. | Launching of a satellite |
B. | Taking off of an aircraft |
C. | Lifting of a balloon |
D. | Throwing of a cricket ball by a player |
E. | None of the above |
Answer» D. Throwing of a cricket ball by a player |
79. | A grinding wheel is rotating at 3000 rpm. When the switch is turned off the wheel stops in 10 seconds. The uniform deceleration of the wheel was |
A. | 1 rad/s2 |
B. | 31.4 rad/s2 |
C. | 4 rad/s2 |
D. | 62.8 rad/s2 |
E. | 10.4 rad/s2 |
Answer» B. 31.4 rad/s2 |
80. | The time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m is equal to |
A. | 8 sec |
B. | 2 sec |
C. | 4 sec |
D. | 10 sec |
E. | 6 sec |
Answer» C. 4 sec |
81. | If span is 150 mts and sag is 10 ft of a cable carrying a load of 3200 kg per horizontal metre then tension of ends is |
A. | 104,000 kg |
B. | 107 dynes |
C. | 1200,000 kg |
D. | 932,000 kg |
E. | 584,000 kg |
Answer» D. 932,000 kg |
82. | A cube of wood supporting 200 gm mass just floats in water. When the mass is removed, the cube rises by 2 cm the side of the cube will be |
A. | 5 cm |
B. | 10 cm |
C. | 12.5 cm |
D. | 20 cm |
E. | 15 cm |
Answer» A. 5 cm |
83. | The principle of conservation of energy cannot be applied in case of |
A. | Flow of water in a pipe |
B. | A particle moving in gravitational field |
C. | Frictional movement of a particle over a surface |
D. | Frictionless movement of a principle over a surface |
E. | Simple pendulum |
Answer» C. Frictional movement of a particle over a surface |
84. | A ball weighing 250 gm is thrown vertically upwards with a velocity of 980 cm/sec. The time that the ball will take to return back to earth would be |
A. | 1 sec |
B. | 4 sec |
C. | 2 sec |
D. | 5 sec |
E. | 3 sec |
Answer» C. 2 sec |
85. | In above problem the resultant reaction between the cannon and the ground would be |
A. | 1146 tonnes |
B. | 573 tonnes |
C. | 286.5 tonnes |
D. | 50 tonnes |
E. | 145 tonnes |
Answer» B. 573 tonnes |
86. | ML2T-2 could be the dimension of all of the following EXCEPT |
A. | Energy |
B. | Work |
C. | 107 dynes |
D. | Power |
E. | Torque |
Answer» D. Power |
87. | Femtometre x Nanometer x (Gigametre)2 = |
A. | Micrometre |
B. | Metre |
C. | Picometre |
D. | 107 dynes |
E. | Megametre |
Answer» A. Micrometre |
88. | When horizontal range of a projectile equal to the distance through which projectile will rise, then the angle of projection of the particle will be equal to |
A. | 36? |
B. | 24? |
C. | 48? |
D. | 107 dynes |
E. | 76? |
Answer» E. 76? |
89. | The excape velocity on the surface of the earth is |
A. | 11.2 km/s |
B. | 2.2 km/s |
C. | 5.6 km/s |
D. | 4.4 km/s |
E. | 1 km/s |
Answer» E. 1 km/s |
90. | The centre of percussions is |
A. | The point of application of the resultant of all the forces tending to cause a body to rotate about a central axis |
B. | The point of application of the resultant of gravity and buoyancy forces of the body |
C. | The same as centre of gravity |
D. | The metacentre of the body |
E. | The point in a body about which it can rotate horizontally and oscillates under the influence of gravity |
Answer» A. The point of application of the resultant of all the forces tending to cause a body to rotate about a central axis |
91. | Plastic collosion of two bodies of equal mass results in a common velocity after impact which is |
A. | Sum of their initial velocities |
B. | Difference of their initial velocities |
C. | Average of their initial velocities |
D. | Independent of their initial velocities |
E. | None of the above |
Answer» E. None of the above |
92. | In which case power required would be more |
A. | In lifting up a weight of 100 kg at a velocity of 3 m/sec but accelerating upwards at 0.5 m/sec |
B. | In lowering a weight of 100 kg along an a inclined plane at an angle of 45? with |
C. | In lifting up a weight of 100 kg at a constant speed of 3 m/sec |
D. | In lowering the weight at a constant speed of 3 m/sec |
E. | In lowering the weight at a velocity of 3 m/sec and acceleration of 1 m/sec2 |
Answer» A. In lifting up a weight of 100 kg at a velocity of 3 m/sec but accelerating upwards at 0.5 m/sec |
93. | In case forces of 1 N, 2 N, 3 N, 4 N, 5 N and 6 N act in order along the sides of a regular hexagon, the resultant will be |
A. | 21 N |
B. | 107 dynes |
C. | 2 N |
D. | 6 N |
E. | 0 |
Answer» D. 6 N |
94. | A boy and his dad put a rope around a tree and stand side by side. What force by the boy can resist a force of 800 N by the dad? |
A. | 231 |
B. | 246 |
C. | 192 |
D. | 107 dynes |
E. | 166 |
Answer» E. 166 |
95. | The necessary condition of equilibrium of a body is |
A. | The algebraic sum of horizontal components of all forces must be zero |
B. | The algebraic sum of vertical components of all forces must be zero |
C. | The algebraic sum of forces about a point must be zero |
D. | All the above |
E. | None of the above |
Answer» D. All the above |
96. | The displacement of a particle under going rectilinear motion along the x-axis is given by x = 2t3 + 21t2 + 60t + 6 metres. |
A. | 27 m/s2 |
B. | 18 m/s2 |
C. | 36 m/s2 |
D. | 9 m/s2 |
E. | 107 dynes |
Answer» D. 9 m/s2 |
97. | A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force – F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j – 4k in kg units the moment of the couple in kg – m units would be |
A. | 8i – 6j – 3k |
B. | 12i – 3j + k |
C. | 16i – 12j – 6k |
D. | 4i – 3j + k |
E. | 8i + 5j + 3k |
Answer» A. 8i – 6j – 3k |
98. | A block slides down a smooth inclined plane when released from the top while another falls freely from the same point. The value of which parameter in the two cases will be identical? |
A. | Time taken to reach the ground |
B. | Kinetic energy at the ground |
C. | Momentum at the ground |
D. | Velocity while touching the ground |
E. | Kinetic energy after one second |
Answer» D. Velocity while touching the ground |
99. | The sag in a tape 100 ft long held between two supports 99.8 ft aprat at the same level is |
A. | 3.32 ft |
B. | 0.98 ft |
C. | 2.73 ft |
D. | 1.87 ft |
E. | 107 dynes |
Answer» C. 2.73 ft |
100. | A piece of wetted wood just floats in water. When placed in an oil of specific gravity 0.75, it will |
A. | Float with upside down |
B. | Sink |
C. | Float for sometime and then sink |
D. | Float with 3/4 of volume above the liquid surface |
E. | Float with 1/4 of volume above the liquid level |
Answer» B. Sink
101. | Which of the following statement is incorrect? |
A. | A body can have energy without having momentum |
B. | A body cannot have kinetic energy without having momentum |
C. | A body in motion will always have kinetic energy more than the potential energy |
D. | None of the above |
E. | 107 dynes |
Answer» C. A body in motion will always have kinetic energy more than the potential energy |
102. | The value of acceleration due to gravity is 980 cm/sec2. Its value in meter per (hour)2 will be |
A. | 1.27 x 108 |
B. | 127 |
C. | 1270 |
D. | 1.27 x 107 |
E. | 1270000 |
Answer» A. 1.27 x 108 |
103. | The torque acting on a system is zero. Which of the following will be conserved? |
A. | Angular velocity |
B. | Linear momentum |
C. | 107 dynes |
D. | Angular momentum |
E. | Moment of inertia |
Answer» D. Angular momentum |
104. | Our weight will be zero under all of the following conditions EXCEPT |
A. | 107 dynes |
B. | We are at the centre of the earth |
C. | When we are ascending in a lift with acceleration of 4.9 m/s2 |
D. | We are orbiting in a satellite |
E. | When we are freely faling |
Answer» C. When we are ascending in a lift with acceleration of 4.9 m/s2 |
105. | A clock with a second pendulum is gaining 5 minutes a day. To correct it |
A. | The eccentricity of bob with pendulum should be decreased |
B. | The length of the pendulum should be decreased |
C. | The length of pendulum should not be changed |
D. | The length of the pendulum should be increased |
E. | The eccentricity of bon with pendulum should be increased |
Answer» D. The length of the pendulum should be increased |
106. | Which of the following is not a projectile? |
A. | Bullet coming out of a revolver |
B. | Arrow released from a bow |
C. | Lifting of a balloon |
D. | Throwing a cricket ball from one player to another |
E. | None of the above |
Answer» D. Throwing a cricket ball from one player to another |
107. | The piston of a steam engine moves in S.H.M. The crank rotates at 180 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 1 metre from the centre is |
A. | 8.88 m/sec |
B. | 16.32 m/sec |
C. | 5.88 m/sec |
D. | 8.16 m/sec |
E. | Zero |
Answer» E. Zero |
108. | A cage weighing 200 kg is lowered down a mine shaft with uniform acceleration. In the first 5 sec the cage reaches a depth of 20 m. The tension in the cord lowering the cage would be |
A. | 836 kg |
B. | 167.2 kg |
C. | 100 kg |
D. | 41.8 kg |
E. | 200 kg |
Answer» B. 167.2 kg |
109. | Static friction is always |
A. | greater than the dynamic driction |
B. | either greater or more than the dynamic friction |
C. | less than the dynamic friction |
D. | 107 dynes |
E. | equal to the dynamic friction |
Answer» A. greater than the dynamic driction |
110. | Which of the following bearing will have least coefficient of friction |
A. | Single ball bearing |
B. | Cylinderical roller bearing |
C. | Self aligury bearing |
D. | Thrust ball bearing |
E. | Tapered bearing |
Answer» E. Tapered bearing |
111. | The dimensions of power are |
A. | ML2T3 |
B. | ML2T2 |
C. | MLT3 |
D. | ML2T-3 |
E. | 107 dynes |
Answer» D. ML2T-3 |
112. | A body is executing simple harmonic motion of amplitude 1 cm. Its velocitywhile passing through the central point is 10 mm/sec. Its frequency will be |
A. | 2.99 rps |
B. | 2.22 rps |
C. | 1 rps |
D. | 1.59 rps |
E. | 1.77 rps |
Answer» C. 1 rps |
113. | Which of the following is dimensionless? |
A. | Specific speed |
B. | Specific volume |
C. | Specific gravity |
D. | Specific weight |
E. | None of the above |
Answer» C. Specific gravity |
114. | If two bodies one light and one heavy have equal kinetic energies, which one has a greater momentum? |
A. | Momentum depends on velocities |
B. | Heavy body |
C. | Both have equal momentum |
D. | Nothing can be concluded on the basis of information provided |
E. | Light body |
Answer» B. Heavy body |
115. | A car travelling at a speed of 60 km/hour is braked and comes to rest 6 seconds after the brakes are applied. The minimum coefficient of driction between the wheels and the road would be |
A. | 0.107 |
B. | 0.3 |
C. | 0.283 |
D. | 0.417 |
E. | 0.5 |
Answer» C. 0.283 |
116. | A man weighing 60 kg jumps on a vehicle of weight 240 kg moving with a velocity of 36 km/hours. The velocity of the vehicle after the man has jumped would be |
A. | Less than 3.6 km/hour |
B. | 3.6 km/hour |
C. | More than 3.6 km/hour |
D. | 4.5 km/hour |
E. | None of the above |
Answer» A. Less than 3.6 km/hour |
117. | How many coins 0.75 cm in diameter and 1/8 cm thick must be malted down to form a rectangular solid whose edges are 5 cm. 4 cm and 3 cm? |
A. | 584 |
B. | 1087 |
C. | 0.00001745 sec-1 |
D. | 1234 |
E. | 2174 |
Answer» B. 1087 |
118. | The gravitational field intensity is maximum at the |
A. | 107 dynes |
B. | at a height above the surface |
C. | pole |
D. | equator |
E. | centre of the earth |
Answer» E. centre of the earth |
119. | A ball of mass 1 kg moving with a velocity of 2 m/sec collides directly with a stationary ball of mass 2 kg. If the first ball comes to rest after the impact the velocity of second ball after impact will be |
A. | 1.5 m/sec |
B. | 0.5 m/sec |
C. | Zero |
D. | 2 m/sec |
E. | 1.0 m/sec |
Answer» E. 1.0 m/sec |
120. | A particle moves along a rough plane inclined at 30? to the horizontal. The co-efficient of friction between the particle and the plane is 0.1. Its initial velocity is 15 m/sec. The ratio of the velocity of the particle when it move down the plane to that when it move up the plane would be in the regions |
A. | 8 ? 10 |
B. | 5 ? 7 |
C. | 2 ? 3 |
D. | 4 ? 6 |
E. | 10 ? 13 |
Answer» B. 5 ? 7 |
121. | In case of cantilever, irrespective of the type of loading the maximum bendry moment and maximum shear force occur at |
A. | 107 dynes |
B. | Free end |
C. | 2/3 of the length, from the free end |
D. | Centre of the beam |
E. | Fixed end |
Answer» E. Fixed end |
122. | A beam fixed at both ends with a central load W in the middle will have zero bending moment at |
A. | one place |
B. | two places |
C. | no where |
D. | three places |
E. | 107 dynes |
Answer» B. two places |
123. | If the positive and negative shear force diagram areas are not equal, it can be concluded that |
A. | shear force diagram has been wrongly drawn |
B. | there is at least one couple acting on the beam |
C. | 107 dynes |
D. | there are at least two maxima for bending moment |
E. | bending moment does not change sign |
Answer» B. there is at least one couple acting on the beam |
124. | One joule is equal to |
A. | 105 ergs |
B. | 108 ergs |
C. | 104 ergs |
D. | 107 ergs |
E. | 106 ergs |
Answer» D. 107 ergs |
125. | A uniform cylinder of weight W is rolling while slipping on a rough horizontal surface under the influence of a horizontal force. The force of friction between the cylinder and the surface is |
A. | Indeterminate |
B. | Proportional to the coefficient of dynamic friction |
C. | Determinate but depends on the acceleration of the cylinder |
D. | 107 dynes |
E. | Proportional to the coefficient of static friction |
Answer» C. Determinate but depends on the acceleration of the cylinder |
126. | The forces which meet at one point but their lines of action do not lie in one plane, are called |
B. | Coplanar noncurrent forces |
C. | Non-coplanar nonconcurrent forces |
D. | Intersecting forces |
E. | Coplanar concurrent forces |
Answer» C. Non-coplanar nonconcurrent forces |
127. | The common acceleration will be |
A. | 1.5 m/s2 |
B. | 1.0 m/s2 |
C. | 107 dynes |
D. | 6 m/s2 |
E. | 3 m/s2 |
Answer» B. 1.0 m/s2 |
128. | The locus of instantaneous centre of a moving rigid body |
A. | Epicycloid |
B. | Straight line |
C. | Involute |
D. | Cycloid |
E. | Centrode |
Answer» E. Centrode |
129. | When all the forces acting on a body lie in one plane and their lines of action meet at one point, the forces |
A. | constitute a moment |
B. | constitute a couple |
C. | are known as coplaner-concurrent forces. |
D. | are known as non-coplaner forces |
E. | 107 dynes |
Answer» C. are known as coplaner-concurrent forces. |
130. | A force F = 2i + 3j – k is passing through the origin. Its moment about point (1, 1, 0) is |
A. | Zero |
B. | 2i + 3j |
C. | i – j – k |
D. | i + j |
E. | i + j + k |
Answer» C. i – j – k |
131. | Efficiency of a screw jack in maximum when its 31 helix angle, ? is |
A. | 45 + ?/2 |
B. | 107 dynes |
C. | ? |
D. | 45 – ?/2 |
E. | 45? |
Answer» D. 45 – ?/2 |
132. | When two concurrent and coplaner forces P and Q act at an angle of 180?, their resultant will be a |
A. | moment equal to PQ |
B. | couple |
C. | (P-Q) |
D. | 107 dynes |
E. | zero |
Answer» C. (P-Q) |
133. | A man lifts a stone weighting 300 g from the ground to a height of 2m and throws it horizontally with a velocity of 6 m/sec. The work done by the man is |
A. | 7.686 J |
B. | 11.286 J |
C. | 5.886 J |
D. | 8.343 J |
E. | Tapered bearing |
Answer» B. 11.286 J |
134. | A body of weight 100 kg is placed on a horizontal plane. A horizontal force of 30 kg is applied and the block is just on the point of motion. The angle of friction is |
A. | About 16? |
B. | 30? |
C. | 45? |
D. | 60? |
E. | None of the above |
Answer» A. About 16? |
135. | If the above tape weights 0.001 kg/ft, sag is |
A. | 2.73 ft |
B. | 3.13 ft |
C. | 2.90 ft |
D. | 3.03 ft |
E. | 107 dynes |
Answer» C. 2.90 ft |
136. | A body whose true weight is 14 kg appears to weigh 15 kg when weighed with the help of a spring balance in a moving lift. The acceleration of the lift at the time was |
A. | 1 m/sec2 |
B. | 0.7 m/sec2 |
C. | 0.5 m/sec2 |
D. | 1.4 m/sec2 |
E. | 0.35 m/sec2 |
Answer» B. 0.7 m/sec2 |
137. | Which of the following pair will have identical dimensions? |
A. | Pressure and surface tension |
B. | Work and kinetic energy |
C. | Momentum and force |
D. | Moment of inertia and angular momentum |
E. | None of the above |
Answer» C. Momentum and force |
138. | A particle is moving in Simple Harmonic Motion in a simple pendulum with some period of oscillation. Now in order to double the period of oscillation |
A. | The length of pendulum should be quadrupled |
B. | The length of pendulum should be doubled |
C. | The mass of the bob should be halved |
D. | The length of pendulum should be reduced to one fourth |
E. | The mass of the bob should be doubled |
Answer» A. The length of pendulum should be quadrupled |
139. | Under which circumstances will have zero velocity and be still accelerating? |
A. | The bob of a simple pendulum when at its mean position |
B. | 107 dynes |
C. | A steamer while taking a turn |
D. | A ball at its highest point of its rise when thrown up |
E. | Tyres of a stationary automobile |
Answer» D. A ball at its highest point of its rise when thrown up |
140. | Newton, dyne and poundal are known as |
A. | absolute units |
B. | fundamental units |
C. | gravitational units |
D. | absolute units |
E. | 107 dynes |
Answer» D. absolute units |
141. | ML2T-2 could be the dimension of |
A. | 107 dynes |
B. | moment of force |
C. | viscosity |
D. | mass moment of inertia |
E. | momentum |
Answer» B. moment of force |
142. | The moving parts of a machine which weigh 1 tonne perform vertical simple harmonic motion with an amplitude of 2.5 cm and a period of 0.5 sec. The base of the machine weighs 3 tonnes and rests on the ground. Maximum reactions on the ground would be |
A. | 3.6 tonnes |
B. | 2.4 tonnes |
C. | 4.0 tonnes |
D. | 4.8 tonnes |
E. | 4.4 tonnes |
Answer» E. 4.4 tonnes |
143. | A ball is allowed to fall freely from a height of 3 metres on to a fixed plate. If the successive rebound heights are h1, h2, h3 |
A. | 5 metres |
B. | 4.25 metre |
C. | 0.5 metre |
D. | 1 metre |
E. | Zero |
Answer» A. 5 metres |
144. | In the above problem, acceleration of crooshead at 30? phase equals |
A. | 107 dynes |
B. | 640 m/s2 |
C. | 780 m/s2 |
D. | 520 m/s2 |
E. | 870 m/s2 |
Answer» E. 870 m/s2 |
145. | If a particle charges its angular velocity from 30 to 35 rpm in 20 seconds then it has angular acceleration of |
A. | 107 dynes |
B. | 30 rev/min2 |
C. | 10 rev/min2 |
D. | 20 rev/min2 |
E. | 15 rev/min2 |
Answer» E. 15 rev/min2 |
146. | Power required for a train weighing 200 Mg to move at a uniform speed of 60 Kmph up an incline of 1 in 200 is (Resistance due to friction is negligible) |
A. | 16.67 KW |
B. | 163.5 KW |
C. | 1000 KW |
D. | 9810 KW |
E. | Tapered bearing |
Answer» B. 163.5 KW |
147. | If air resistance is neglected, at the mid-point of its swing, the acceleration of the bob of a simple pendulum along its path is always |
A. | Increasing |
B. | Zero |
C. | A cycloid |
D. | Decreasing |
E. | A minimum but not equal to zero |
Answer» D. Decreasing |
148. | The force which produces an acceleration of 1 m/sec2 in a mass of 1 kg is called |
A. | 100 ergs |
B. | one Newton |
C. | one watt |
D. | One erg |
E. | one joule |
Answer» B. one Newton |
149. | The maximum efficiency of a scres jack having square threads and friction angle of 30 degree will be |
A. | 20% |
B. | 11% |
C. | 5% |
D. | 33% |
E. | 9% |
Answer» D. 33% |
150. | Water rises in a capillary tube to a height h. It will rise to a height more than h. |
A. | in a lift moving up with an acceleration |
B. | in all the above cases |
C. | 107 dynes |
D. | at the poles |
E. | on the surface of moon |
Answer» E. on the surface of moon |
151. | The centre of gravity of a plane lamina will not be at its geometrical centre if it is a |
A. | Square |
B. | Equilateral triangle |
C. | Circle |
D. | Rectangle |
E. | Right angled triangle |
Answer» E. Right angled triangle |
152. | Coulomb friction is |
A. | Friction between solids and liquids |
B. | Friction between electrically charged bodies |
C. | Friction between lubricated surface |
D. | Friction between dry surfaces |
E. | Friction between bodies having relative motion |
Answer» D. Friction between dry surfaces |
153. | A framed structure is perfect if it contains members equal to |
A. | n – 3 |
B. | 2n – 3 |
C. | 2n – 2 |
D. | n – 2 |
E. | 2n – 1 |
Answer» B. 2n – 3 |
154. | Coulomb’s law for the force between electric charges most closely resembles |
A. | Newton’s laws of motion |
B. | Law of conservation of energy |
C. | Gauss’s theorem |
D. | Newton’s law of gravitation |
E. | None of the above |
Answer» D. Newton’s law of gravitation |
155. | A number of forces acting at a point will be in equilibrium if |
A. | Sum of the forces is zero |
B. | Algebraic sum of the forces is zero |
C. | Sum of the resolved parts in any two perpendicular directions are both zero |
D. | None of the above |
E. | The metacentre of the body |
Answer» D. None of the above |
156. | The springs A and B are identical except that A is stiffer than B, that is KA > kB. If both the springs are stretched by the same amount |
A. | more work will be expended on A than B |
C. | same work will be expended in both springs. |
D. | less work will be expended on A than B |
E. | 107 dynes |
Answer» A. more work will be expended on A than B |
157. | A rigid body is suspended vertically at a point and oscillates with a small amplitude under the action of the force of gravity. Such an arrangement is called |
A. | Simple pendulum |
B. | Rigid pendulum |
C. | Second’s pendulum |
D. | Compound pendulum |
E. | Newton’s pendulum |
Answer» D. Compound pendulum |
158. | A block slides down a frictionless incline making an angle ? with an elevator floor. The acceleration relative to the incline will be maximum when |
A. | the elevator ascends at constant speed v |
B. | the elevator descends at constant speed v |
C. | 107 dynes |
D. | elevator descends with deceleration a |
E. | the elevator descends with acceleration a |
Answer» D. elevator descends with deceleration a |
159. | An automobile is travelling at 25 m/s. It takes 0.3 second to apply the brakes after which the deceleration is 6 m/s2. How far, in meters, does the automobile travel before it stops? |
A. | 45 |
B. | 107 dynes |
C. | 40 |
D. | 50 |
E. | 60 |
Answer» E. 60 |
160. | A single purchase crab has a handle 45 cm long and a drum of 25 cm diameter. The pinion has 30 teeth and spur has 150 teeth. The efficiency of the machine is 75%. If the maximum force that can be applied is 500 newtons, the maximum load that can be lifted will be |
A. | 9860 N |
B. | 6750 N |
C. | 20250 N |
D. | 1250 N |
E. | 13500 N |
Answer» B. 6750 N |
161. | A body in Simple Harmonic Motion will attain maximum velocity when it passes through |
A. | Point of 0.75 amplitude |
B. | Extreme point of the oscillation of L.H.S. |
C. | Point of half amplitude |
D. | Extreme point of the oscillation at R.H.S. |
E. | Mean position |
Answer» E. Mean position |
162. | A body of weight W is resting at a plane inclined at 30? to the horizontal. It is attached to a string making an angle of 60? with horizontal. If the angle of friction be 30? the tension in the string would be |
A. | Zero |
B. | W |
C. | W/2 |
D. | 2W |
E. | None of the above |
Answer» C. W/2 |
163. | A 5 m ladder of mass 25 kg is placed in a position where its inclination to a vertical wall is at 30?. A 100 kg man is to climb the ladder. If the coefficient of static friction is 0.25 the height along ladder at which the slipping will be induced would be |
A. | 2.4 m |
B. | 1.6 m |
C. | 0.8 m |
D. | 1.2 m |
E. | 0.5 m |
Answer» C. 0.8 m |
164. | Which one of the following is not the law of dry friction? |
A. | If friction is neglected, the reactions are always normal to the surfaces on contact |
B. | Friction always acts to oppose the relative motion of the free body |
C. | If static friction is acting, the value of the friction force may vary from zero to its maximum value |
D. | The force of friction is always normal to the surface |
E. | All of the above |
Answer» D. The force of friction is always normal to the surface |
165. | A 3.2 m diameter balloon is filled with Helium. The total weight of balloon, gas and pay load is 10 kg kg. In an isothermal atmosphere having conditions identical to N.T.P. the balloon will rise to a height of about |
A. | 6000 m |
B. | 1500 m |
C. | 3000 m |
D. | 2000 m |
E. | 1000 m |
Answer» A. 6000 m |
166. | The statement the resultant of the external forces applied to a body (rigid or non-rigid) composed of a system of particles is equivalent to the vector summation of the effective forces acting on all particles-is known as |
A. | Corollary to Newton’s laws of motion |
B. | Principle of dynamics |
C. | D’ Alembert’s principle |
D. | Nowton’s law |
E. | Mohr’s principle |
Answer» C. D’ Alembert’s principle |
167. | The moment of a force |
A. | Occurs about a point |
B. | Measures the capacity to do useful work |
C. | Occurs only when bodies are in motion |
D. | Measures the ability to produce turning or twisting about an axes |
E. | None of the above |
Answer» D. Measures the ability to produce turning or twisting about an axes |
168. | In a slider crank mechanism, the crank is rotating at 200 rpm. If length of connecting rod is 8 mts and crank shaft is 2 mts, velocity of crosshead at 30? rotation of crank shaft equals. |
A. | 30.2 m/s |
B. | 33.2 m/s |
C. | 35.8 mts/s |
D. | 107 dynes |
E. | 25.5 m/s |
Answer» E. 25.5 m/s |
169. | If the angle of friction is zero a body will experience |
A. | Infinite friction |
B. | Zero friction |
C. | The force of friction will act normal to the plane |
D. | The force of friction will act in the direction of motion |
E. | None of the above |
Answer» B. Zero friction |
170. | The excape velocity for the moon is nearly |
A. | 5 km/s |
B. | 11.2 km/s |
C. | 107 dynes |
D. | 2.4 km/s |
E. | 1.1 km/s |
Answer» D. 2.4 km/s |
171. | Williot-Mohr diagram is used to determine |
A. | slope of beams |
B. | 107 dynes |
C. | deflection in beams |
D. | deflection in trusses |
E. | slope of trusses |
Answer» D. deflection in trusses |
172. | A body is pushed with a force of 10 N for 0.5 second. The impulse given to the body is |
A. | 107 dynes |
B. | 50 Ns |
C. | 3.5 Ns |
D. | 5 Ns |
E. | 2.5 Ns |
Answer» D. 5 Ns |
173. | A couple applied to a flywheel of mass 5 kg and of radius of gyration 20 cm produces an angular acceleration of 4 radians/sec2. The torque applied in dyne cm is |
A. | 8 x 104 |
B. | 8 x 106 |
C. | 8 x 107 |
D. | 8 x 108 |
E. | 8 x 1010 |
Answer» B. 8 x 106 |
174. | The tension T2 will be |
A. | 60 N |
B. | 5 N |
C. | 107 dynes |
D. | 15 N |
E. | 30 N |
Answer» E. 30 N |
175. | The number of revolutions through which a pulley will rotate from rest if its angular acceleration is increased uniformly from zero to 12 rad per sec2 during 4 sec and then uniformly decreased to 0 rad per sec2 during the next 3 sec would be |
A. | 46.4 |
B. | 26.74 |
C. | 11.6 |
D. | 3.2 |
E. | 17.7 |
Answer» B. 26.74 |
176. | The angular velocity of hour hand of a watch is |
A. | 0.0001745 sec-1 |
B. | 0.0001455 sec-1 |
C. | 0.0000145 sec-1 |
D. | 0.1045 sec-1 |
E. | 0.001745 sec-1 |
Answer» B. 0.0001455 sec-1 |
177. | A plane is inclinea at angle ? to horizontal. If a body can just rest on a plane, determine the least force to draw the body up the plance |
A. | W sin2? |
B. | 2 W cos2? |
C. | 107 dynes |
D. | W cos2? |
E. | 2 W sin2? |
Answer» A. W sin2? |
178. | A stone is dropped into a deep shaft without any initial velocity. The sound of the stone hitting the bottom is heard after 4 seconds. If the velocity of sound is 330 m/sec the depth of the shaft will be |
A. | 33.1 m |
B. | 660 m |
C. | 165 m |
D. | 66.2 m |
E. | 330 m |
Answer» D. 66.2 m |
179. | Maximum acceleration in above problem is |
A. | 107 dynes |
B. | 2?2/3 m/s2 |
C. | ?2/s m/s2 |
D. | 3?2 m/s2 |
E. | 4?2/9 m/s2 |
Answer» E. 4?2/9 m/s2 |
180. | A body weighing 500 kg falls 8 cm and strikes a 500 kg/cm spring. The deformation of the spring will be |
A. | ?8 cm |
B. | 8 cm |
C. | 4 cm |
D. | 20.5 cm |
E. | 2 cm |
Answer» C. 4 cm |
181. | Given that the area of a figure varies as square of mean ordinate. The area of the figure is 154 sq. cm when the mean ordinate is 7 cm. The area of the figure when mean ordinate is 10.5 cm will be |
A. | 364.9 cm |
B. | 364.5 cm |
C. | 360.6 cm |
D. | 346.5 cm |
E. | 356.3 cm |
Answer» D. 346.5 cm |
182. | The weight of a 72 kg man on earth’s surface is |
A. | 100.3 N |
B. | 72 N |
C. | 107 dynes |
D. | 706.3 N |
E. | 760 N |
Answer» D. 706.3 N |
183. | If four turms of rope around a horizontal post will hold a 100 kg weight with a pull of 1 kg, then |
A. | 107 dynes |
B. | 0.25 |
C. | 0.18 |
D. | 0.3 |
E. | 0.11 |
Answer» C. 0.18 |
184. | In the second system of pulleys, if there are two pulley blocks having ‘n1’ and ‘n2’ pulleys in the first and second pulley blocks respectively, then the velocity ratio of the whole system will be equal to |
A. | 2n1 + n2 |
B. | n1 – n2 |
C. | 107 dynes |
D. | 2n1 + 2n2 |
E. | n1 + n2 |
Answer» B. n1 – n2 |
185. | The power of a locomotive is 315 kW and the total weight of the train is 2000 kN. If the track resistance is 15 N per kN, the maximum speed that the locomotive can attain on level track will be |
A. | 43 kmph |
B. | 83 kmph |
C. | 103 kmph |
D. | 107 dynes |
E. | 38 kmph |
Answer» E. 38 kmph |
186. | A particle is of wieght 8 kg. When it is allowed to fall under the force of gravity its momentum at the time t = 2 sec would be |
A. | 8 kg sec |
B. | 32 kg sec |
C. | 2 kg sec |
D. | 16 kg sec |
E. | 48 kg sec |
Answer» D. 16 kg sec |
187. | The maximum velocity of a body in SHM with amplitude of 150 mm and a frequency 2 vibrations/sec is equal to |
A. | 1.885 m/sec |
B. | 0.01885 m/sec |
C. | 0.1885 m/sec |
D. | 18.55 m/sec |
E. | 185.5 m/sec |
Answer» A. 1.885 m/sec |
188. | A wheel 8 mts in diameter coasts to rest from a speed of 800 rpm in 10 minutes. Its angular deceleration is |
A. | 308/min2 |
B. | 683 rad/min2 |
C. | 502 rad/min2 |
D. | 107 dynes |
E. | 809 rad/min2 |
Answer» C. 502 rad/min2 |
189. | The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is |
A. | 66.8 cm4 |
B. | 137.5 cm4 |
C. | 550 cm4 |
D. | 33.4 cm4 |
E. | 275 cm4 |
Answer» B. 137.5 cm4 |
190. | A rope of weight 0.5 kg/m hangs from a drum for a height of 6 m. The work done in winding up the rope will be |
A. | 9 kg-m |
B. | 3 kg-m |
C. | 12 kg-m |
D. | 18 kg-m |
E. | 6 kg-m |
Answer» A. 9 kg-m |
191. | The x coordinate of the centroid of the area enclosed by the parabolas y = x2 and x = y2 will be |
A. | 107 dynes |
B. | 0.44 |
C. | 0.43 |
D. | 0.45 |
E. | 0.46 |
Answer» D. 0.45 |
192. | According to Kepler’s law of motion the square of the time period T of a planet around the sun is proportional to the |
A. | mean distance |
B. | square of the mean distance of planet from sun |
C. | cube of the mean distance of planet from sun |
D. | 107 dynes |
E. | 3/2 power of the mean distance |
Answer» C. cube of the mean distance of planet from sun |
193. | Let the only force acting on two bodies be their mutual interactions. If both bodies start from rest, the distances travelled by each will be a |
A. | proportional to the respective masses of the bodies |
B. | 107 dynes |
C. | inversely proportional to the respective masses of the bodies |
D. | directly proportional to the square of the respective masses of the bodies |
E. | inversely proportional to the square of the respective masses of the bodies |
Answer» C. inversely proportional to the respective masses of the bodies |
194. | Kinetic friction is |
A. | Maximum value of frictional force when a body is about to move |
B. | Friction between two well lubricated bodies |
C. | Friction force acting when the body is in motion |
D. | Driction force which keeps a body in motion |
E. | None of the above |
Answer» C. Friction force acting when the body is in motion |
195. | When two forces acting at a point are such that if the direction of one is reversed, the direction of the resultant is turned through a right angle, the forces must be |
A. | inclined at more than 90? |
B. | inclined at less than 90? |
C. | equal in magnitude |
D. | acting at 180? |
E. | 107 dynes |
Answer» C. equal in magnitude |
196. | If w is the angular velocity of the pulley and T1 and T2 are tensions of driving and driven side then power transmitted equals |
A. | (T1 + T2) w |
B. | (T1 + 2T2) w |
C. | 107 dynes |
D. | (T1 – T2) w |
E. | wT1 |
Answer» D. (T1 – T2) w |
197. | The ideal angle of banking provided on roads |
A. | Depends on (velocity)2 of vehicle |
B. | Depends on the nature of road surface |
C. | Depend on coefficient of friction between the road and the vehicle cantact point |
D. | Depends on weight of the vehicle |
E. | All above |
Answer» A. Depends on (velocity)2 of vehicle |
198. | The moment of inertia of a thin ring about an axis perpendicular to plane of ring is |
A. | 1/3 Mr3 |
B. | Mr2 |
C. | Mr |
D. | Mr3 |
E. | 1/2 Mr3 |
Answer» B. Mr2 |
199. | A 2 kg block is dropped from a height of 4 metre onto a spring of force constant k = 1960 N/m. The spring will be compressed through |
A. | 1 cm |
B. | 4.5 cm |
C. | 3 cm |
D. | 8 cm |
E. | 107 dynes |
Answer» D. 8 cm |
200. | A boy sitting in a rail road car throws a ball straight up into the air. The ball will fall back into his hands when the rail road car is |
A. | moving at constant velocity |
B. | accelerating forward while going around a curve of radius equal to the maximum height attained by the ball |
C. | 107 dynes |
D. | accelerating forwardA block A is dropped down a smooth inclined plane, while another identical block B is released for free fall from the same height |
E. | decelerating |
Answer» A. moving at constant velocity |
201. | The angular velocity of earth is |
A. | 0.00727 sec-1 |
B. | 0.000727 sec-1 |
C. | 0.0000727 sec-1 |
D. | 0.00000727 sec-1 |
E. | None of the above |
Answer» C. 0.0000727 sec-1 |
202. | The torque of 50 Nm is applied on the wheel operating a valve. If the wheel is rotated through two revolutions, work done in Newton-metres is given by |
A. | 628 |
B. | 107 dynes |
C. | 314 |
D. | 25 |
E. | 100 |
Answer» A. 628 |
203. | In a single threaded worm and worm wheel the number of teeth on the worm wheel is 80. The diameter of the effort wheel is 12 cm and that of load drum is 8 cm. The velocity ratio will be |
A. | 60 |
B. | 45 |
C. | 120 |
D. | 107 dynes |
E. | 90 |
Answer» C. 120 |
204. | A horizontal load of 120 kg/mt is to be carried by a cable suspended between supports at same level and 60 mts apart. If the maximum permissible tension is 36,000 kg the required length of cable is |
A. | 63.3 mets |
B. | 62.5 mts |
C. | 60.8 mts |
D. | 107 dynes |
E. | 60.1 mts |
Answer» E. 60.1 mts |
205. | For a self locking lifting machine, the efficiency must be |
A. | 50 percent |
B. | 100 percent |
C. | more than 50 percent |
D. | 107 dynes |
E. | less than 50 percent |
Answer» E. less than 50 percent |
206. | The periodic time of a body moving in Simple Harmonic Motion is |
A. | Directly proportional to its angular velocity |
B. | Directly proportional to the weight of the body |
C. | Inversely proportional to the square of angular velocity |
D. | Directly proportional to the momentum of swinging body |
E. | Inversely proportional to the angular velocity |
Answer» E. Inversely proportional to the angular velocity |
207. | A grinding wheel rotates at 3000 rpm. When power supply is cut-off the wheel stops in 10 seconds. The number of revolutions made by the wheel before coming to rest would be |
A. | 1500 |
B. | 3000 |
C. | 1000 |
D. | 250 |
E. | 500 |
Answer» D. 250 |
208. | A satellite orbits around the earth due to |
A. | Celestial force |
B. | Gravitational force |
C. | Centrifugal force |
D. | Centripetal force |
E. | All of the above |
Answer» C. Centrifugal force |
209. | A 2 m long shaft rotates about one end at 20 rad/s. It begins to accelerate with ? = 10 rads/s2. After how long, in seconds, will the velocity of the free end reach 100 m/s? |
A. | 3 |
B. | 107 dynes |
C. | 5 |
D. | 6 |
E. | 7 |
Answer» A. 3 |
210. | The resultant of a force acting on a body will be zero, if the body |
A. | Rotates with uniform acceleration |
B. | Moves along a curved path |
C. | Rotates |
D. | Does not rotate |
E. | Rotates with uniform deceleration |
Answer» D. Does not rotate |
211. | What will be the duration of day and night if the earth shrinks to half the present radius? |
A. | 6 hours |
B. | 12 hours |
C. | 107 dynes |
D. | 3 hours |
E. | 24 hours |
Answer» A. 6 hours |
212. | If you want to stop the car in the shortest distance on an icy road, you should |
A. | 107 dynes |
B. | not apply the brakes |
C. | pump’ the brakes |
D. | push hard the brakes to lock the wheels |
E. | push just hard enough to prevent slipping |
Answer» E. push just hard enough to prevent slipping |
213. | A man pulls a cart with 100 N force from rest with an acceleration of 10 m/sec2 for 10 seconds. The work done by him is |
A. | 500 KJ |
B. | 50.96 KJ |
C. | 101.92 KJ |
D. | None of the above |
E. | Tapered bearing |
Answer» A. 500 KJ |
214. | The shape of a suspended cable under its own weight is |
A. | Catenary |
B. | Elliptical |
C. | Cycloidal |
D. | Semi-circle |
E. | Parabolic |
Answer» A. Catenary |
215. | TIES : STRUTS : |
A. | purlins : piers |
B. | angle : tee |
C. | rolle support : hinge |
D. | compression : tension |
E. | 107 dynes |
Answer» D. compression : tension |
216. | The angle which an inclined surface makes with the horizontal when a body placed on it is on the point moving down is known as |
A. | Angle of friction |
B. | Angle of limiting friction |
C. | Angle of inclination |
D. | Angle of repose |
E. | None of the above |
Answer» D. Angle of repose |
217. | The radius of gyration of a solid sphere of radius r is equal to |
A. | 0.8 r2 |
B. | 0.2 r2 |
C. | 0.3 r2 |
D. | 0.4 r2 |
E. | 0.5 r2 |
Answer» D. 0.4 r2 |
218. | Ice is slippery when a man walks on it because |
A. | Increase of pressure causes it to melt |
B. | Ice is brittle |
C. | There is no friction |
D. | It is very chill |
E. | Its surface is smooth |
Answer» A. Increase of pressure causes it to melt |
219. | The mass, in kg, of the earth if its radius is 6400 km, will be |
A. | 6 x 1024 |
B. | 6 x 1025 |
C. | 107 dynes |
D. | 6 x 1023 |
E. | 6 x 1022 |
Answer» A. 6 x 1024 |
220. | In a single threaded worm and worm wheel the number of teeth on the worm wheel is 60. The diameter of the effort wheel is 12 cm and that of load drum is 8 cm. The velocity ratio will be |
A. | 90 |
B. | 120 |
C. | 60 |
D. | 45 |
E. | 107 dynes |
Answer» A. 90 |
221. | A particle of mass M moves towards right with a velocity 2 V along the x-axis and another of mass 2 M with a velocity V towards left (- x axis). After the collision (they stick together on colliging) they will |
A. | come to rest |
B. | 107 dynes |
C. | move towards right |
D. | may move in any direction |
E. | move towards left |
Answer» C. move towards right |
222. | A cannon of weight 10 tonnes fires a shell of 50 kg with a muzzle velocity of 900 m/sec at an angle of 30?. The time taken for the shell to emerge from the barrel is 0.004 sec. The velocity of the cannon would be |
A. | 3.9 m/sec |
B. | 7.8 m/sec |
C. | 8.95 m/sec |
D. | 1.95 m/sec |
E. | 5.85 m/sec |
Answer» A. 3.9 m/sec |
223. | A car is travelling at 90 km/hour on a rough road where the coefficient of friction between the road and the tyre is 0.5. The distance the car will skid before stopping when the brakes are jammed suddenly would be |
A. | 127.4 m |
B. | 95.55 m |
C. | 63.7 m |
D. | 31.85 m |
E. | 90 m |
Answer» C. 63.7 m |
224. | One newton is equal to |
A. | 106 dynes |
B. | 105 dynes |
C. | 104 dynes |
D. | 103 dynes |
E. | 107 dynes |
Answer» B. 105 dynes |
226. | For perfectly elastic bodies the value of the coefficient of restitution is | ||
A. | 0.707 | ||
B. | 0.5 | ||
C. | 1 | ||
D. | 0.25 | ||
E. | Zero | ||
Answer» A. 0.707 | |||
227. | A satellite launch station should be |
A. | 107 dynes |
B. | near the equatorial region |
C. | all the locations are equally good |
D. | one the polar axis |
E. | near the polar region |
Answer» B. near the equatorial region |
228. | The direction of projection for the range of a projectile to be maximum on an inclined plane having angle of inclination 30? to the horizontal, whould be |
A. | 45? with horizontal |
B. | 30? with vertical |
C. | 30? with horizontal |
D. | 60? with inclined plane |
E. | 45? with inclined plane |
Answer» B. 30? with vertical |
229. | If for power transmission a gear train consisting of 8 gears is used, then |
A. | the motion of driver and follower will be in the same direction |
B. | the motion of driver and follower will be in the opposite directions |
C. | either of (A) or (B) above |
D. | None of the above |
E. | 107 dynes |
Answer» B. the motion of driver and follower will be in the opposite directions |
230. | A train travels between two stations 15 km, apart in 18 minutes. If the train accelerates for a part of journey uniformly followed by uniform relardation, the maximum speed attained by the train, during, the journey, will be |
A. | 60 km/hr |
B. | 80 km/hr |
C. | 125 km/hr |
D. | 100 km/hr |
E. | 107 dynes |
Answer» D. 100 km/hr |
231. | The tension T1 will be |
A. | 5 N |
B. | 20 N |
C. | 60 N |
D. | 10 N |
E. | 107 dynes |
Answer» D. 10 N |
232. | A imaginary planet has half the mass and half the radius of the earth. The acceleration of gravity at its surface would be |
A. | 9.8 m/s2 |
B. | 107 dynes |
C. | 4.9 m/s2 |
D. | 19.6 m/s2 |
E. | 2.45 m/s2 |
Answer» D. 19.6 m/s2 |
233. | The principle of conservation of energy cannot be applied in case of |
A. | Flow of heat through a metal |
B. | Ideal flow of water in a pipe |
C. | Simple pendulum |
D. | Sliding of a particle along inclined plane with friction |
E. | A particle moving in gravitational field |
Answer» E. A particle moving in gravitational field |
234. | A truss element |
A. | 107 dynes |
B. | resists lateral forces |
C. | is a two-force body |
D. | is a three force body |
E. | resist forces in compression only |
Answer» C. is a two-force body |
235. | Impulse can be obtained from |
A. | force-time diagram |
B. | velocity-time diagram |
C. | 107 dynes |
D. | force displacement diagram |
E. | velocity-displacement diagram |
Answer» A. force-time diagram |
236. | A mass of 5 kg moves on a smooth horizontal plane with a speed of 8 m/s attached to a fixed point on the plane by a string of length 4m. Tension in the string is |
A. | 785 |
B. | 80N |
C. | 392.4N |
D. | None of the above |
E. | Tapered bearing |
Answer» B. 80N |
237. | The area under stress-strain curve represents |
A. | Hardness of material |
B. | Breaking strength of the material |
C. | Energy required to cause failure |
D. | Toughness of material |
E. | Malleabbility of material |
Answer» C. Energy required to cause failure |
238. | A flywheel 200 cm in diameter is rotating at 100 rpm. A point on the rim of the flywheel will not have |
A. | angular velocity |
B. | centripental acceleration |
C. | tangential acceleration |
D. | all of the above |
E. | 107 dynes |
Answer» C. tangential acceleration |
239. | A block of weight 20 kg slides with an initial velocity of 2 m sec down an inclined plane on to a spring of stiffness 10 kg/cm. If the co–efficient of friction is 0.2, angle ? = 30 the ratio of maximum compession of spring, neglecting friction to that while considering friction would be |
A. | More than one |
B. | One |
C. | Less than one |
D. | Depends on the stiffness of spring |
E. | None of the above |
Answer» A. More than one |
240. | A jet engine works on the principle of |
A. | Conservation of energy |
B. | Conservation of mass and momentum |
C. | Conservation of linear mementum |
D. | Conservation of energy and momentum |
E. | Conservation of mass |
Answer» C. Conservation of linear mementum |
241. | The angular velocity of seconds hand of a watch is |
A. | 0.01745 sec-1 |
B. | 0.00001745 sec-1 |
C. | 0.0001745 sec-1 |
D. | 0.001745 sec-1 |
E. | 0.1047 sec-1 |
Answer» D. 0.001745 sec-1 |
242. | A uniform cylinder of weight W is rolling while slipping on a rough horizontal surface under the influence of a horizontal force. The force of friction between the cylinder and the surface is |
A. | Proportional to the coefficient of static friction |
B. | Proportional to the coefficient of dynamic friction |
C. | Indeterminate |
D. | Determinate but depends on the acceleration of the cylinder |
E. | None of the above |
Answer» C. Indeterminate |
243. | The statement —- if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two —- is known as |
A. | Law of polygon of forces |
B. | D’Alembert’s principle |
C. | Newtons law of forces |
D. | Lami’s theorem |
E. | Law of triangle of forces |
Answer» D. Lami’s theorem |
244. | The dimensions of modulus of elasticity are |
A. | MLT-2 |
B. | 107 dynes |
C. | MLT-1 |
D. | ML-2T-1 |
E. | ML-1T-2 |
Answer» E. ML-1T-2 |
245. | A sphere of radius r is cut from larger sphere of radius R. The distance between their centre is a. The centroid of the remaining valoume lies on the line of centres and the sistanc from the centre of the larger sphere is |
A. | ar2 / (R2 – r2) |
B. | 107 dynes |
C. | aR/(R2-r2) |
D. | aR/(R – r) |
E. | ar3 / (R3 – r3) |
Answer» E. ar3 / (R3 – r3) |
246. | For a perfect frame having 13 members the number of joints must be |
A. | 8 |
B. | 6 |
C. | 7 |
D. | 107 dynes |
E. | 9 |
Answer» A. 8 |
247. | When a body moves round a fixed axis it will have |
A. | A motion of rotation and translation |
B. | A circular motion |
C. | A rotary motion |
D. | A translatory motion |
E. | A swinging motion |
Answer» B. A circular motion |
248. | A ball is dropped from a height of 2.25 m on a smooth floor and it rises to a height of 1 m after the first bounce. The coefficient of restitutions between the ball and the floor is |
A. | 107 dynes |
B. | 0.33 |
C. | 0.44 |
D. | 0.57 |
E. | 0.67 |
Answer» E. 0.67 |
249. | The work done in sliding a block of weight of 50 kg up a plane inclined at an angle of 30? to the horizontal so that the block is lifted through 1 m |
A. | More than 50 kgm |
B. | 50 kgm |
C. | Less than 5 kgm |
D. | 15 kgm only |
E. | None of the above |
Answer» A. More than 50 kgm |
251. | Secondary stresses may be set up in frame due to any of the following reasons EXCEPT | ||
A. | members not being straight | ||
B. | self-weight of the members | ||
C. | eccentricity of connections | ||
D. | rigidity of the members | ||
E. | 107 dynes | ||
Answer» D. rigidity of the members | |||
252. | Moment of Inertia of triangular section about an axis passing through its base is given by |
A. | bh3/12 |
B. | bh3/32 |
C. | bh3/36 |
D. | None of the above |
E. | Tapered bearing |
Answer» A. bh3/12 |
253. | Which of the following could be the unit of rotational inertia of a body in CGS system? |
A. | cm4 |
B. | gm-cm2 |
C. | 107 dynes |
D. | kg-cm2 |
E. | gm-cm4 |
Answer» B. gm-cm2 |
254. | The angular acceleration of a flywheel decreases uniformly from 8 rad/sec2 to 2 rad sec2 in 6 sec at which time its angular velocity is 42 rad/sec. The initial angular velocity was |
A. | 12 rad/sec |
B. | 24 rad/sec |
C. | 30 rad/sec |
D. | 3 rad/sec |
E. | 6 rad/sec |
Answer» A. 12 rad/sec |
255. | During SHM which of the following is conserved? |
A. | Kinetic energy |
B. | Potential energy |
C. | Total energy |
D. | Momentum |
E. | All of the above |
Answer» D. Momentum |
256. | The standard angle between the sides of a V-belt is |
A. | 30? |
B. | 25? |
C. | 40? |
D. | 45? |
E. | 55? |
Answer» A. 30? |
257. | The main advantage of using worm gears is |
A. | Low power loss |
B. | High velocity ratio |
C. | Ease of manufacture |
D. | Minimum cost |
E. | All of the above |
Answer» C. Ease of manufacture |
258. | The angle of friction is |
A. | The angle which frictional force makes with the normal |
B. | The anle at which the force applied from external souce will cause movement |
C. | The angle at which fictional force is inclined to external force |
D. | The angle between the normal reaction and the resultant of normal reaction and the limiting friction |
E. | None of the above |
Answer» D. The angle between the normal reaction and the resultant of normal reaction and the limiting friction |
259. | In the speed of rotation of earth decreases, the weight of the body will |
A. | Decrease |
B. | Remain unaltered |
C. | Depends on speed ratio |
D. | Cannot be ascertained on the basis the information given |
E. | Increase |
Answer» C. Depends on speed ratio |
260. | Which of the following is not a lever of the first order? |
A. | Pair of Smith’s tongs |
B. | Wheel barrow |
C. | Ordinary balance |
D. | Pair of scissors |
E. | 107 dynes |
Answer» B. Wheel barrow |
261. | A force of 100 Newtons acts for 0.5 seconds on a body of mass 20 kg which is initially at rest. The velocity attained by the body is |
A. | 20 m/s |
B. | 5 m/s |
C. | 2.5 m/s |
D. | 0.5 m/s |
E. | 107 dynes |
Answer» C. 2.5 m/s |
262. | The angle of projection when the range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection will be |
A. | 30? |
B. | 45? |
C. | 15? |
D. | 90? |
E. | 22 |
Answer» C. 15? |
263. | The motion of a bicycle wheel is |
A. | Curvilinear |
B. | Translatory |
C. | Linear |
D. | Rotary as well as translatory |
E. | Rotary |
Answer» D. Rotary as well as translatory |
264. | A particle in simple Harmonic Motion while passing through mean position will have |
A. | Maximum kinetic energy and minimum potential energy |
B. | Average kinetic energy and average potential energy |
C. | Minimum kinetic energy and maximum potential energy |
D. | Maximum kinetic energy and maximum |
E. | Minimum kinetic energy and minimum potential energy |
Answer» A. Maximum kinetic energy and minimum potential energy |
265. | A bullet is fired from a fifle. If the rifle recoils freely, the kinetic energy of the rifle |
A. | will be the same as the kinetic energy of the bullet |
B. | will be less than the kinetic energy of the bullet |
C. | 107 dynes |
E. | will be more than the kinetic energy of the bullet |
Answer» B. will be less than the kinetic energy of the bullet |
266. | The locus of a point on a thread unwound from a cylinder will be |
A. | A circle |
B. | A cycloid |
C. | A straight line |
D. | A spiral |
E. | An involute |
Answer» B. A cycloid |
267. | The moment of inertia of a thin spherical shell is |
A. | Mr2 |
B. | 1/2 Mr2 |
C. | 1/3 Mr2 |
D. | 2/3 Mr2 |
E. | None of the above |
Answer» D. 2/3 Mr2 |
268. | A train travels between two stations 15 km apart in 18 minutes. If the train accelerates for a part of journey uniformly followed by uniform retardation, the maximum speed attained by the train during the journey will by |
A. | 125 km/hr |
B. | 107 dynes |
C. | 80 km/hr |
D. | 100 km/hr |
E. | 60 km/hr |
Answer» D. 100 km/hr |
269. | A man is standing ner the edge of a uniformly rotating platform about an axis passing through its centre. The speed of rotation of the platorm will decrease if he |
A. | extends his arms outwards |
B. | 107 dynes |
C. | moves towards the axis of rotation |
D. | jumps out from that platform |
E. | take out his coat and throws away |
Answer» A. extends his arms outwards |
270. | A apinning ballet dancer draws her arms close to her chest. She will now |
A. | 107 dynes |
B. | spin at the same rate |
C. | spin faster |
D. | spin slower |
E. | stop spinning |
Answer» D. spin slower |
271. | The moment of inertia of a solid sphere of radius r is |
A. | Mr2 |
B. | 1/8 Mr2 |
C. | 2/3 Mr2 |
D. | m4 |
E. | 1/2 Mr2 |
Answer» A. Mr2 |
272. | A stone of wight 100 kg is thrown vertically upwards by a man of height y = 1.8 m with an initial velocity of 20 m/sec. The maximum height to which it will rise would be |
A. | 22.2 m |
B. | 26 m |
C. | 15.1 m |
D. | 20.2 m |
E. | 10 m |
Answer» A. 22.2 m |
273. | The breaking strength of a rope is 400 N. A fireman weighing 60 kg slides down the rope. The rope will break if |
A. | 107 dynes |
B. | the acceleration is 7.5 m/s2 |
C. | the acceleration is 1.2 m/s2 |
D. | the acceleration is 3.1 m/s2 |
E. | the slides with an acceleration of 15 m/s2 |
Answer» C. the acceleration is 1.2 m/s2 |
274. | In case of a beam subjected to pure bending |
A. | 107 dynes |
B. | the stress intensity in any fibre is proportional to the distance of the fibre from the neutral axis |
C. | the stress intensity in any fibre is proportional to the distance of the fibre from the load carrying end |
D. | the stress intensity in any fibre is uniform |
E. | the nature of stress in any fibre is identical |
Answer» B. the stress intensity in any fibre is proportional to the distance of the fibre from the neutral axis |
276. | The ratio of moment of inertia of a circular body about x axis to that about y axis is | |||
A. | ? | |||
B. | ? | |||
D. | 1?4 | |||
E. | 1 | |||
Answer» E. 1 | ||||
277. | A compressure force in boom in above problem is |
A. | 107 dynes |
B. | 1096 kg |
C. | 886 kg |
D. | 693 kg |
E. | 1390 kg |
Answer» E. 1390 kg |
278. | A body having SHM has period of 6 sec and amplitude of 4 mts. Maximum velocity is |
A. | ?/3 m/s |
B. | 2?/3 m/s |
C. | 107 dynes |
D. | 3? m/s |
E. | 4?/3 m/s |
Answer» E. 4?/3 m/s |
279. | What is the maximum force, in Newtons, that will not cause tension? |
A. | 294 |
B. | 316 |
C. | 346 |
D. | 184 |
E. | 107 dynes |
Answer» A. 294 |
280. | Centroid of the are of circle shown in adjacement figure is |
A. | r sin (?/2)/2 ?, 0 |
B. | r sin (?)/?, 0 |
C. | 2 r sin (?/2)/?, 0 |
D. | 107 dynes |
E. | 2r sin (?)/?, 0 |
Answer» C. 2 r sin (?/2)/?, 0 |
281. | The centroid of the area between the circle x2 + y2 = 16 and the line x + y = 4 will have the coordinates |
A. | (4, 2) |
B. | (2, 4) |
C. | (2.34, 2.34) |
D. | (1.16, 1.16) |
E. | None of the above |
Answer» C. (2.34, 2.34) |
282. | Polar moment of inertia is |
A. | Applicable to masses whereas moment of inertia is applicable to area only |
B. | The moment of inertia for an area ralative to a line or axis which is out the plane of area |
C. | Same as moment of inertia |
D. | The moment of inertia for an area relative to a line or axis parallel to the centroidal axis |
E. | The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area |
Answer» E. The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area |
283. | A bullet is fired vertically upwards with a velocity of 2200 ft/s. Bullet ascends to a height of |
A. | 56,900 ft |
B. | 107 dynes |
C. | 75,000 ft |
D. | 48.300 ft |
E. | 65,800 ft |
Answer» C. 75,000 ft |
284. | In the impact problems the following conditions must always be satisfied |
A. | The total kinetic energy remains unchanged |
B. | The total linear momentum remains unchanged |
C. | The magnitude of the total linear momentum is multiplied by the coefficient of restitution |
D. | The kinetic energy of the system is reduced by a factor proportional to the coefficient of restitution |
E. | None of the above |
Answer» B. The total linear momentum remains unchanged |
285. | A hammer gains 50 Ns momentum in 0.05 sec. The average force on the hammer will be |
A. | 500 N |
B. | 2000 N |
C. | 1500 N |
D. | 107 dynes |
E. | 1000 N |
Answer» E. 1000 N |
286. | If the distance to electric train is given by Fr = a + bv + cv2 In this equation constant c is likely to cover |
A. | air resistance |
B. | track resistance |
C. | frictional resistance |
D. | flange resistance |
E. | 107 dynes |
Answer» A. air resistance |
287. | A man is standing near the edge of a uniformly rotating platform about an axis passing through its centre. The speed of rotation of the platform will decrease if he |
A. | extends his arms outwards |
B. | moves towards the axis of rotation |
C. | jumps out from the platform |
D. | accepts a heavy bag from one of his friends standing near by and holds it in his hand |
E. | 107 dynes |
Answer» D. accepts a heavy bag from one of his friends standing near by and holds it in his hand |
288. | A stone weighing 20 N is whirling in a vertical circle at the extremity of a string 100 cm long. The tension in the string will be zero |
A. | at the highest position |
B. | at the lowest position |
C. | at the midway position |
D. | at none of the above |
E. | 107 dynes |
Answer» A. at the highest position |
289. | During planetary motion which of the following remains constant? |
A. | Augular speed |
B. | Linear velocity |
C. | Angular acceleration |
D. | Total angular momentum |
E. | All of the above |
Answer» B. Linear velocity |
290. | According to principle of transmissiblity of forces, when a force acts upon a body, its effect is |
A. | maximum when it acts at C.G. of the body |
B. | minimum when it acts at C.G. of the body |
C. | different at different points of the body |
D. | 107 dynes |
E. | same at every point in its line of action |
Answer» E. same at every point in its line of action |
291. | The statement — if forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order then their resultant will be represented in magnitude and direction by the closing side of the polygon taken in opposite order —- is known as |
A. | Law of triangle of forces |
B. | Newton’s law of forces |
C. | Law of polygon of forces |
D. | D’Alembert’s rule |
E. | Lami’s theorem |
Answer» C. Law of polygon of forces |
292. | A ball A of mass 0.25 kg moving on a smooth horizontal table with a velocity of 10 m/s strikes an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after the impact will be |
A. | 2.5 m/s |
B. | zero |
C. | 5 m/s |
D. | 10 m/s |
E. | 107 dynes |
Answer» C. 5 m/s |
293. | The slope on the road generally provided on the curves is known as |
A. | Angle of repose |
B. | Angle of friction |
C. | Angle of banking |
D. | Angle of reaction |
E. | None of the above |
Answer» C. Angle of banking |
294. | An automobile weighing 2800 lb and travelling at 30 miles/hr, hits a depression in the road which has a radius of curvature of 50 ft. What is the total force to which springs are subjected. |
A. | 8230 lb |
B. | 6170 lb |
C. | 2800 ib |
D. | 107 dynes |
E. | 3280 lb |
Answer» B. 6170 lb |
295. | A block A is dropped down a smooth inclined plane, while another identical block B is released for free fall from the same height |
A. | block A will have higher velocity than block B while hitting the ground |
B. | block B will hit the ground earlier. |
C. | both will hit the ground simultaneously |
D. | block A will hit the ground earlier |
E. | 107 dynes |
Answer» B. block B will hit the ground earlier. |
296. | A projectile is shot straight up with vo = 40 m/s. After how many seconds will it return if drag is neglected? |
A. | 6 |
B. | 107 dynes |
C. | 4 |
D. | 10 |
E. | 8 |
Answer» E. 8 |
297. | The necessary condition for the forces acting on a body to be in equilibrium is that these should be |
A. | In the same direction |
B. | Coplaner |
C. | Similar in nature |
D. | Should not meet at a point |
E. | (B) and (D) above |
Answer» E. (B) and (D) above |
298. | A rocket is fired vertically from the ground with a resultant vertical acceleration of 10 m/sec the fuel is finished in one minute and it continues to move up. The maximum height reached will be |
A. | 2 km |
B. | 20 km |
C. | 36 km |
D. | 10 km |
E. | 80 km |
Answer» A. 2 km |
299. | What force is necessary to hold a weight of 100 kg suspended on a rope wrapped 3 times around a post |
A. | 0.35 |
B. | 0.8 |
C. | 1.46 |
D. | 2.85 |
E. | 107 dynes |
Answer» A. 0.35 |
301. | The weight of an object will be maximum when it is placed at | ||
A. | North pole | ||
B. | South pole | ||
C. | Equator | ||
D. | Centre of earth | ||
E. | Any of the above loctions | ||
Answer» D. Centre of earth | |||
302. | A grinding wheel rotates at 3000 rpm. When power supply is cut off the wheel stops in 5 sec. The number of revolutions made by the wheel before coming to rest would be |
A. | 500 |
B. | 107 dynes |
C. | 250 |
D. | 3000 |
E. | 1000 |
Answer» C. 250 |
303. | A solid spherical ball rolls on a table. The momen’ of inertia of the ball is given by 3/5 x mass x radius2. The ratio of translational and rotational kinetic energies for ball will be |
A. | 2 |
B. | 7?16 |
C. | 5?3 |
D. | 7?8 |
E. | 1 |
Answer» C. 5?3 |
304. | A particle inside a hollow sphere of internal radius r with coefficient of friction 1/?3 can rest upto height of |
A. | 0.18 r |
B. | 0.435 r |
C. | 0.25 r |
D. | 0.134 r |
E. | 0.125 r |
Answer» D. 0.134 r |
305. | A particle starts from rest and moves in a straight line whose equation of motion is given by S = 2t3 – t2 – 1. The acceleration of the particle after one sec will be |
A. | 6 m/sec2 |
B. | 4 m/sec2 |
C. | 12 m/sec2 |
D. | 10 m/sec2 |
E. | 8 m/sec2 |
Answer» D. 10 m/sec2 |
306. | An electric motor drives a windless which hauls up a crate A of weight W = 500 kg up an inclined plane through a height of 10 m in 2 minutes. The torque acting on the windless is 25 kgm and the drum of the windless makes 30 rpm. The efficiency of the inclined plane would be |
A. | 41% |
B. | 61% |
C. | 26.50% |
D. | 53.05% |
E. | 66% |
Answer» D. 53.05% |
307. | A screw jack has 4 threads per inch. The mean radius of the thread is 2.338 inches. The mean diameter of the bearing surface under the cap is 3.25 inches. What is the turning moment required to raise the bload of 150 kg |
A. | 5.61 kg-inch |
B. | 50.6 kg-inch |
C. | 107 dynes |
D. | 30.3 kg-inch |
E. | 23.6 kg-inch |
Answer» B. 50.6 kg-inch |
308. | The length of Seconds Pendulum is |
A. | 992 mm |
B. | 999 mm |
C. | 994 mm |
D. | 995 mm |
E. | 1000 mm |
Answer» C. 994 mm |
309. | The law of conservation of mechanical energy is valid |
A. | Irrespective of the nature of force field |
B. | Only in gravitational field |
C. | Only if the total work done by the particle in moving around in a closed trajectory is zero |
D. | Only if the force is tangential to the trajectory |
E. | None of the above |
Answer» C. Only if the total work done by the particle in moving around in a closed trajectory is zero |
310. | In above case the maximum height attained by the ball would be |
A. | 49 cm |
B. | 490 cm |
C. | 980 cm |
D. | 1960 cm |
E. | 100 cm |
Answer» B. 490 cm |
311. | The units of moment of inertia are |
A. | kgm4 |
B. | kg-m2 |
C. | kg/m2 |
D. | kg/m |
E. | m4 |
Answer» C. kg/m2 |
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