1. A wheel has radius 10cm and is coupled by a belt to another wheel of radius 30cm. The smaller wheel increases its speed from rest at a uniform rate of π rads^-2. The speed of larger wheel become 100 rpm after

2. When a disc rotates with uniform angular velocity, which of the following is not true?

3. When a torque acting on a system is zero, then which of the following should not change?

4. The moment of inertia of a uniform semicircular disc of mass M and radius about a line perpendicular to the plane of the disc through the centre is

5. Two particles pf masses m₁ and m₂ (m₁ > m₂) attract each other with a force inversely proportional to the square of the distance between them. The particles are initially held at rest and then released. Then

6. Which is the wrong relation from the following?

7. The pendulum consists of a sphere of mass m suspended with a flexible wire of length l. If the breaking strength of the wire is 2mg, then the angular displacement that can be given to the pendulum is

8. A merry-go-round, made of a ring-like platform of radius R and mass M, is revolving with angular speed ω. A person of mass M is standing on it. At one instant, the person jumps off the ground, radially away from the centre of the round. The speed of the round afterwards is

9. The moment of inertia of a body does not depend upon

10. A particle moves for 20 s with velocity 3 m/s and then moves with velocity 4 m/s for another 20 s and finally moves with velocity 5 m/s for next 20 s. what is the average velocity of the particle?

11. Three thin iron rods each of mass M and length l are welded so as to form an equilateral triangle. The M.I. about the axis passing through the C.M. and perpendicular to its plane is

12. For which of the following does the centre of mass lie outside the body?

13. A dancer on ice spins faster when she folds here arms. This is due to

14. A ring of radius R slides down an inclined plane and reaches the bottom with speed v. If the radius of the ring is doubled keeping its M.I. constant, the speed at the bottom of the inclined plane will be

15. For increasing the angular velocity of an object by 10%, the kinetic energy has to be increased by

16. Three identical balls each of radius 10cm and mass 1kg each are placed touching each other on a horizontal surface. Where is their C.M. located?

17. A hollow cylinder and a solid cylinder having different mass diameter are released from rest simultaneously from the of an inclined plane. Which will reach the bottom first?

18. A body is under the action of two equal and oppositely directed forces and the body is rotating with constant acceleration. Which of the following cannot be the separation between the lines of action of the forces?

19. If I, a and t are the moment of inertia, angular acceleration and torque respectively of a body rotating about any axis with angular velocity w, then

20. Without weighing how will you distinguish between the two identical balls of same material, but one being solid and the other being hollow