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1) Select the correct statement_____? a. The body centrode rolls on the space centrode b. The space centrode rolls on the body centrode c. Both body and space centrodes may role on each other d. The body centrode never touches space centrode
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2) 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__________________? a. 60 N b. 80 N c. 100 N d. 120 N
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3) If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is____________________? a. 30° b. 45° c. 60° d. 120°
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4) The angles between two forces to make their resultant a minimum and a maximum respectively are__________________? a. 0° and 90° b. 180° and 90° c. 90° and 180° d. 180° and 0°
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5) The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then_________________? a. P = R b. Q = R c. P = Q d. None of the above is correct
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6) 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 ___________________? a. 50 J b. 150 J c. 200 J d. 400 J
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7) The following is in unstable equilibrium__________________? a. a uniform solid cone resting on a generator on a smooth horizontal plane b. a uniform solid cone resting on its base on a horizontal plane c. a solid cube resting on one edge d. a satellite encircling the earth
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8) A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ? a. pyramid b. prism c. both equally stable d. none of the above
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9) A rigid body is in a stable equilibrium if the application of any force__________________? a. can raise the CG of the body but can not lower it b. tends to lower the CG of the body c. neither raises nor lowers the CG of the body d. none of above
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10) Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ? a. disc with larger density b. disc with smaller density c. both discs will have same rotational inertia d. none of the above
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11) A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is_____________________? a. 4 b. 6 7i c. 8TC d. 8
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12) The torque produced by a force depends on__________________?
1) the magnitude of the force 2) the direction of the force 3) the’point of application of the force relative to origin The correct answer is? a. only (1) b. both (1) and (2) c. both (1) and (3) d. all (1), (2) and (3)
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13) 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 ? 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
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14) A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________? a. (1/3) g sinB b. (2/3) g cos 9 c. (2/3) g sin 0 d. g sin 9
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15) A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________? a. less than (1/3) tan 0 b. less than (2/3) tan 0 c. less than (1/3) sin 6 d. less than (2/3) sin 6
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16) If the angular distance, 0 = 2t3 – 3t2, the angular acceleration at t = 1 sec. is__________________? a. 1 rad/sec2 b. 4 rad/sec2 c. 6 rad/sec2 d. 12 rad/sec2
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17) 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_________________? a. 6 m/sec b. 12 m/sec c. 24 m/sec d. 48 m/sec
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18) Instantaneous center is at infinity when the angular velocity is _________________? a. constant b. zero c. maximum d. minimum
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19) A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?
1) 1.0 in from the wall 2) 1.732 m from the wall 3) 1.0 m above the floor 4) 1.732 m above the floor The correct answer is? a. (1) and (3) b. (1) and (4) c. (2) and (3) d. (2) and (4)
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20) The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________? a. 36° b. 45° c. 56° d. 76°
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