applied mechanics and graphic statics Mcqs
51. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?
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A. sphere with greater rotational energy at bottom than cylinder

B. sphere with lesser rotational energy at bottom than cylinder

C. cylinder with greater rotational energy at bottom than sphere

D. both reach the bottom simultaneously with equal rotational energy at bottom

52. If the given forces P,, P2, P3 and P4 are such that the force polygon does not close, then the system will___________________?
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A. be in equilibrium

B. always reduce to a resultant force

C. always reduce to a couple

D. both (A) and (C)

53. A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan1 x, where x is (Assume g = 10 m/sec2)_____________________?
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A. 2-Jan

B. 8-Mar

C. 5/8

D. 5-Sep

54. The graphical method of determining the forces in the members of a truss is based on________________?
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A. method of section

B. none of the two methods

C. either method

D. method of joint
55. An ordinate in a funicular polygon represents__________________?
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A. shear force

B. equilibrium

C. bending moment

D. resultant force

56. The bending moment in an arch is proportional to___________________?
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A. none of these

B. intercept between the arch axis and the funicular polygon

C. vertical ordinate of funicular polygon

D. vertical ordinate of the arch

57. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be____________________?
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A. 40 m/sec

B. 20 m/sec

C. 50 m/sec

D. 30 m/sec
58. If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is____________________?
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A. 30

B. 120

C. 60

D. 45

59. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then___________________?
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A. a force is required to move the body upwards

B. correct answer is?

C. a force is required to move the body downward

D. the body will not be in equilibrium</strong>

60. A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is_____________________?
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A. 3-Apr

B. 3/4

C. 4-Jan

D. 3-Feb

61. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan1 x, where x is______________________?
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A. 3-May

B. 4-Mar

C. 5-Apr

D. 3/5
62. Instantaneous center is at infinity when the angular velocity is _________________?
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A. minimum

B. maximum

C. zero

D. constant

63. The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at_____________________?
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A. supports

B. quarter span

C. mid span

D. none of the above

64. In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively_____________________?
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A. 75 and 50

B. 75 and 75

C. 50 and 50

D. 50 and 75
65. If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is_____________________?
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A. rad/sec 10

B. rad/sec 20

C. none of the above

D. rad/sec 30
66. A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?
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A. less than (2/3) tan 0

B. less than (1/3) tan 0

C. less than (2/3) sin 6

D. less than (1/3) sin 6

67. A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec2)______________________?
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A. 50 m/sec

B. 40 m/sec

C. 25 m/sec

D. 15 m/sec

68. The angle of projection at which the horizontal range and maximum height of a projectile are equal to___________________?
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A. tan1 (1/4)

B. tan- (4)

C. 45

D. tan-1 (2)

69. A particle moves in a straight line and its position is defined by the equation x = 6 t2 t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?
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A. 6 m/sec

B. 24 m/sec

C. 12 m/sec

D. 48 m/sec

70. If the angular distance, 0 = 2t3 3t2, the angular acceleration at t = 1 sec. is__________________?
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A. 4 rad/sec2

B. 12 rad/sec2

C. 1 rad/sec2

D. 6 rad/sec2
71. A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
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A. pyramid

B. prism

C. both equally stable

D. none of the above

72. A funicular polygon cannot be made to pass through___________________?
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A. two specified points

B. one specified point

C. more than three specified points

D. three specified points

73. A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are____________________?
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A. 1346.3 kN and 1500 kN

B. 1436.2 kN and 1500 kN

C. 1436.2 kN and 1250 kN

D. 1346.3 kN and 1250 kN
74. The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?
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A. 56

B. 36

C. 76

D. 45

75. The time period of a simple pendulum depends on__________________?
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A. length of the pendulum

B. correct answer is

C. mass of suspended particle

D. acceleration due to gravity </strong>

76. A rigid body is in a stable equilibrium if the application of any force__________________?
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A. none of above

B. tends to lower the CG of the body

C. neither raises nor lowers the CG of the body

D. can raise the CG of the body but can not lower it
77. A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is___________________?
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A. 3-Jan

B. 9-Jan

C. 8/9

D. 3-Feb

78. A force P of 50 N and another force Q of unknown magnitude act at 90 to each other. They are balanced by a force of 130 N. The magnitude of Q is__________________?
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A. 120 N

B. 80 N

C. 60 N

D. 100 N

79. The diagram showing the point of application and line of action of forces in their plane is called____________________?
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A. funicular diagram

B. space diagram

C. vector diagram

D. force diagram

80. In a simple harmonic motion, the position of equilibrium is always_________________?
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A. neutral

B. none of the above

C. unstable

D. stable
81. A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is ___________________?
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A. 200 J

B. 50 J

C. 400 J

D. 150 J

82. A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will____________________?
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A. meet after 1 sec

B. meet after 5 sec

C. never meet

D. meet after 10 sec
83. Joule is the unit of__________________?
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A. power

B. momentum

C. work

D. impulse

84. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?
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A. 1.00 m/sec

B. 6.28 m/sec

C. 3.14 m/sec

D. 1.57 m/sec

85. The force polygon representing a set of forces in equilibrium is a_____________________?
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A. triangle

B. parallelogram

C. closed polygon

D. open polygon

86. Impulse can be obtained from a_________________?
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A. velocity-time diagram

B. force-time diagram

C. force-displacement diagram

D. velocity-displacement diagram

87. One Joule is equivalent to________________?
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A. 1 Newton metre

B. 1 kg wt metre

C. 9.81 Newton metre

D. 1 dyne metre

88. The ratio of unit of force in gravitational system to that in absolute system is__________________?
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A. 1

B. 1/g

C. g

D. none of the above

E. re g is acceleration due to gravity

89. A cube on a smooth horizontal surface___________________?
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A. cannot be in unstable equilibrium

B. can be in any of these states

C. cannot be in stable equilibrium

D. cannot be in neutral equilibrium

90. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are________________?
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A. circle and straight line

B. circle and parabola

C. straight line and parabola

D. straight line and circle

91. One Newton is equivalent to_________________?
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A. 981 dyne

B. 106 dyne

C. 107 dyne

D. 105 dyne
92. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60 to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?
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A. 5 and 5V3 m/sec

B. 5 V3 m/sec and 0

C. 0 and 5 m/sec

D. 5 m/sec and 0
93. The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is__________________?
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A. 1960 m

B. 490 m

C. 980 m

D. 98 m

94. A stone is thrown up a slope of inclination 60 to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?
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A. 45

B. 15

C. 30

D. 75

95. A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is___________________?
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A. 2n rpm

B. n/2 rpm

C. n rpm

D. n/4 rpm

96. At the instantaneous center, the velocity of the moving lamina at any instant is_________________?
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A. varying

B. minimum

C. maximum

D. zero
97. Which of the following represents the state of neutral equilibrium ?
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A. none of the above

B. a cube resting on one edge

C. a smooth cylinder lying on a curved surface

D. a smooth cylinder lying on a convex surface

98. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is_________________?
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A. 464 J

B. 64 J

C. 400 J

D. 89 J

99. For a given velocity of a projectile, the range is maximum when the angle of projection is___________________?
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A. 90

B. 0

C. 30

D. 45
100. A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is_______________?
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A. (1/3) g sin0

B. (3/7) g sin 0

C. (5/7) g sin0

D. (2/5) g sin 0