Correct : C. A body in motion will always have kinetic energy more than the potential energy
2. The value of acceleration due to gravity is 980 cm/sec2. Its value in meter per (hour)2 will be
Correct : A. 1.27 x 108
3. The torque acting on a system is zero. Which of the following will be conserved?
Correct : D. Angular momentum
4. Our weight will be zero under all of the following conditions EXCEPT
Correct : C. When we are ascending in a lift with acceleration of 4.9 m/s2
5. A clock with a second pendulum is gaining 5 minutes a day. To correct it
Correct : D. The length of the pendulum should be increased
6. Which of the following is not a projectile?
Correct : D. Throwing a cricket ball from one player to another
7. 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
Correct : E. Zero
8. 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
Correct : B. 167.2 kg
9. Static friction is always
Correct : A. greater than the dynamic driction
10. Which of the following bearing will have least coefficient of friction
Correct : E. Tapered bearing
11. The dimensions of power are
Correct : D. ML2T-3
12. 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
Correct : C. 1 rps
13. Which of the following is dimensionless?
Correct : C. Specific gravity
14. If two bodies one light and one heavy have equal kinetic energies, which one has a greater momentum?
Correct : B. Heavy body
15. 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
Correct : C. 0.283
16. 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
Correct : A. Less than 3.6 km/hour
17. 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?
Correct : B. 1087
18. The gravitational field intensity is maximum at the
Correct : E. centre of the earth
19. 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
Correct : E. 1.0 m/sec
20. 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
Correct : B. 5 ? 7
21. In case of cantilever, irrespective of the type of loading the maximum bendry moment and maximum shear force occur at
Correct : E. Fixed end
22. A beam fixed at both ends with a central load W in the middle will have zero bending moment at
Correct : B. two places
23. If the positive and negative shear force diagram areas are not equal, it can be concluded that
Correct : B. there is at least one couple acting on the beam
24. One joule is equal to
Correct : D. 107 ergs
25. 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
Correct : C. Determinate but depends on the acceleration of the cylinder
26. The forces which meet at one point but their lines of action do not lie in one plane, are called
Correct : C. Intersecting forces
27. The common acceleration will be
Correct : B. 1.0 m/s2
28. The locus of instantaneous centre of a moving rigid body
Correct : E. Centrode
29. When all the forces acting on a body lie in one plane and their lines of action meet at one point, the forces
Correct : C. are known as coplaner-concurrent forces.
30. A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is
Correct : C. i - j - k
31. Efficiency of a screw jack in maximum when its 31 helix angle, ? is
Correct : D. 45 - ?/2
32. When two concurrent and coplaner forces P and Q act at an angle of 180?, their resultant will be a
Correct : C. (P-Q)
33. 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
Correct : B. 11.286 J
34. 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
Correct : A. About 16?
35. If the above tape weights 0.001 kg/ft, sag is
Correct : C. 2.90 ft
36. 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
Correct : B. 0.7 m/sec2
37. Which of the following pair will have identical dimensions?
Correct : C. Momentum and force
38. 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
Correct : A. The length of pendulum should be quadrupled
39. Under which circumstances will have zero velocity and be still accelerating?
Correct : D. A ball at its highest point of its rise when thrown up
40. Newton, dyne and poundal are known as
Correct : D. absolute units
41. ML2T-2 could be the dimension of
Correct : B. moment of force
42. 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
Correct : E. 4.4 tonnes
43. 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
Correct : A. 5 metres
44. In the above problem, acceleration of crooshead at 30? phase equals
Correct : E. 870 m/s2
45. If a particle charges its angular velocity from 30 to 35 rpm in 20 seconds then it has angular acceleration of
Correct : E. 15 rev/min2
46. 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)
Correct : B. 163.5 KW
47. 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
Correct : D. Decreasing
48. The force which produces an acceleration of 1 m/sec2 in a mass of 1 kg is called
Correct : B. one Newton
49. The maximum efficiency of a scres jack having square threads and friction angle of 30 degree will be
Correct : D. 33%
50. Water rises in a capillary tube to a height h. It will rise to a height more than h.
Correct : E. on the surface of moon
51. The centre of gravity of a plane lamina will not be at its geometrical centre if it is a
Correct : E. Right angled triangle
52. Coulomb friction is
Correct : D. Friction between dry surfaces
53. A framed structure is perfect if it contains members equal to
Correct : B. 2n - 3
54. Coulomb's law for the force between electric charges most closely resembles
Correct : D. Newton's law of gravitation
55. A number of forces acting at a point will be in equilibrium if
Correct : D. None of the above
56. 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
Correct : A. more work will be expended on A than B
57. 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
Correct : D. Compound pendulum
58. A block slides down a frictionless incline making an angle ? with an elevator floor. The acceleration relative to the incline will be maximum when
Correct : D. elevator descends with deceleration a
59. 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?
Correct : E. 60
60. 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
Correct : B. 6750 N
61. A body in Simple Harmonic Motion will attain maximum velocity when it passes through
Correct : E. Mean position
62. 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
Correct : C. W/2
63. 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
Correct : C. 0.8 m
64. Which one of the following is not the law of dry friction?
Correct : D. The force of friction is always normal to the surface
65. 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
Correct : A. 6000 m
66. 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
Correct : C. D' Alembert's principle
67. The moment of a force
Correct : D. Measures the ability to produce turning or twisting about an axes
68. 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.
Correct : E. 25.5 m/s
69. If the angle of friction is zero a body will experience
Correct : B. Zero friction
70. The excape velocity for the moon is nearly
Correct : D. 2.4 km/s
71. Williot-Mohr diagram is used to determine
Correct : D. deflection in trusses
72. A body is pushed with a force of 10 N for 0.5 second. The impulse given to the body is
Correct : D. 5 Ns
73. 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
Correct : B. 8 x 106
74. The tension T2 will be
Correct : E. 30 N
75. 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
Correct : B. 26.74
76. The angular velocity of hour hand of a watch is
Correct : B. 0.0001455 sec-1
77. 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
Correct : A. W sin2?
78. 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
Correct : D. 66.2 m
79. Maximum acceleration in above problem is
Correct : E. 4?2/9 m/s2
80. A body weighing 500 kg falls 8 cm and strikes a 500 kg/cm spring. The deformation of the spring will be
Correct : C. 4 cm
81. 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
Correct : D. 346.5 cm
82. The weight of a 72 kg man on earth's surface is
Correct : D. 706.3 N
83. If four turms of rope around a horizontal post will hold a 100 kg weight with a pull of 1 kg, then
Correct : C. 0.18
84. 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
Correct : B. n1 - n2
85. 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
Correct : E. 38 kmph
86. 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
Correct : D. 16 kg sec
87. The maximum velocity of a body in SHM with amplitude of 150 mm and a frequency 2 vibrations/sec is equal to
Correct : A. 1.885 m/sec
88. A wheel 8 mts in diameter coasts to rest from a speed of 800 rpm in 10 minutes. Its angular deceleration is
Correct : C. 502 rad/min2
89. 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
Correct : B. 137.5 cm4
90. 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
Correct : A. 9 kg-m
91. The x coordinate of the centroid of the area enclosed by the parabolas y = x2 and x = y2 will be
Correct : D. 0.45
92. According to Kepler's law of motion the square of the time period T of a planet around the sun is proportional to the
Correct : C. cube of the mean distance of planet from sun
93. 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
Correct : C. inversely proportional to the respective masses of the bodies
94. Kinetic friction is
Correct : C. Friction force acting when the body is in motion
95. 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
Correct : C. equal in magnitude
96. If w is the angular velocity of the pulley and T1 and T2 are tensions of driving and driven side then power transmitted equals
Correct : D. (T1 - T2) w
97. The ideal angle of banking provided on roads
Correct : A. Depends on (velocity)2 of vehicle
98. The moment of inertia of a thin ring about an axis perpendicular to plane of ring is
Correct : B. Mr2
99. 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
Correct : D. 8 cm
100. 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