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1. A rigid body is rotating with constant angular velocity. Which of the following is true?

A. Angular acceleration is zero B. Torque is constant C. Angular displacement is zero D. Angular velocity is zero

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2. A disc is rotating about its axis with uniform angular velocity. What is the nature of the motion of a particle on the rim?

A. Translational B. Vibratory C. Oscillatory D. Circular

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3. The moment of inertia of a uniform rod of mass M and length L about an axis passing through its center and perpendicular to its length is

A. ML^2/12 B. ML^2/6 C. ML^2/3 D. ML^2/24

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4. A solid sphere rolls down an inclined plane without slipping. The ratio of rotational kinetic energy to total kinetic energy is

A. 1:2 B. 2:5 C. 1:3 D. 3:7

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5. The angular velocity of a wheel increases from 20 rad/s to 50 rad/s in 5 seconds. What is the angular acceleration?

A. 3 rad/s^2 B. 6 rad/s^2 C. 9 rad/s^2 D. 12 rad/s^2

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6. If the radius of a rotating body is doubled, its moment of inertia becomes

A. Half B. Double C. Four times D. Eight times

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7. A wheel is rotating at 10 rad/s. If its kinetic energy is 200 J, what will be its kinetic energy if the angular velocity is doubled?

A. 400 J B. 800 J C. 100 J D. 600 J

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8. The torque required to produce an angular acceleration of 2 rad/s^2 in a body of moment of inertia 5 kg.m^2 is

A. 5 N.m B. 10 N.m C. 15 N.m D. 20 N.m

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9. The angular momentum of a particle is the cross product of

A. Force and radius B. Momentum and radius C. Velocity and radius D. Acceleration and radius

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10. A figure skater spinning on ice pulls in her arms. What happens to her angular velocity?

A. Decreases B. Increases C. Remains the same D. Becomes zero

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11. The center of mass of a system of particles does not depend on

A. Mass of the particles B. Relative position of the particles C. External force D. Internal force

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12. A thin ring and a disc, both of mass M and radius R, roll down an incline. Which reaches the bottom first?

A. Ring B. Disc C. Both at the same time D. Depends on the angle of incline

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13. What is the dimensional formula of the moment of inertia?

A. MLT^-2 B. ML^2T^-1 C. ML^2 D. ML^-2

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14. A particle moves in a circular path of radius R. Its angular velocity changes uniformly from 0 to ω in time T. The angular acceleration is

A. ω/T B. Rω/T C. ωR/T^2 D. ω^2/T

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15. A body is rotating with an angular velocity of 10 rad/s. After 2 seconds, its angular velocity becomes zero due to a uniform retardation. The angular acceleration is

A. -5 rad/s^2 B. -10 rad/s^2 C. -15 rad/s^2 D. -20 rad/s^2

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16. Two spheres of the same material but different radii are rolling down an incline. Which one reaches the bottom first?

A. Larger sphere B. Smaller sphere C. Both together D. Depends on the incline

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17. If a torque of 50 N.m is applied to a wheel with a moment of inertia of 10 kg.m^2, the angular acceleration is

A. 2 rad/s^2 B. 5 rad/s^2 C. 10 rad/s^2 D. 50 rad/s^2

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18. What is the kinetic energy of rotation of a body with moment of inertia I rotating with angular velocity ω?

A. 1/2 Iω B. 1/2 Iω^2 C. Iω^2 D. 1/2 I^2ω

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19. The rotational analog of mass in linear motion is

A. Torque B. Moment of inertia C. Angular velocity D. Angular acceleration

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20. The angular velocity of a fan increases from 0 to 20 rad/s in 5 seconds. The number of rotations completed during this time is

A. 10 B. 20 C. 25 D. 50