NEET Physics Moment of Inertia and Rotational K E Online Test Set A

1. What is the phenomenon of temporary delay in regaining the original configuration by an elastic body, after the removel of a deforming force?

2. The restoring force per unit area is known as

3.

4. A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions s^{– 2} is

5. Four masses are fixed on a massless rod as shown in the adjoining figure. The moment of inertia about the dotted axis is about

6.

7. The moment of inertia of a hollow thick spherical shell of mass M and its inner radius R₁ and outer radius R₂ about its diameter is

8. A rod of mass m and length l is bent in to shape of L. Its moment of inertia about the axis shown in figure

9. M.I of a circular loop of radius R about the axis in figure is

10. Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

11.

12. From a solid sphere of mass M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its faces is

13. Consider a thin uniform square sheet made of a rigid material. If its side is ‘a’ mass m and moment of inertia I about one of its diagonals, then

14. The moment of inertia of a circular disc of mass M and radius R about an axis passing through the centre of mass is I0. The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is

15. Consider a uniform square plate of side ‘a’ and mass ‘m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

16. Point masses 1, 2, 3 and 4 kg are lying at the points (0, 0, 0), (2, 0, 0), (0, 3, 0) and (–2, –2, 0) respectively. The moment of inertia of this system about X-axis will be

17.

18. The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is I₀. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

19. The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is

20.

21. A wheel having moment of inertia 2 kg-m² about its vertical axis, rotates at the rate of 60 rpm about this axis, The torque which can stop the wheel’s rotation in one minute would be

22. One solid sphere A and another hollow sphere B are of same mass and same outer radii, Their moments of inertia about their diameters are respectively I_A and I_B, such that

23. Of the two eggs which have identical sizes, shapes and weights, one is raw, and other is half boiled. The ratio between the moment of inertia of the raw to the half boiled egg about central axis is

24. Assertion : If polar ice melts, days will be longer.
Reason : Moment of inertia decreases and thus angular velocity increases

25. The moment of inertia of the rectangular plate ABCD, (AB = 2 BC) is minimum along the axis

26.

27. The moment of inertia of a uniform circular disc (figure) is maximum about an axis perpendicular to the disc and passing through

28.

29. What is the moment of inertia of a solid sphere about its diameter?

30. For a given mass and size, moment of inertia of a solid disc is

31. If two circular discs A and B are of same mass but of radii r and 2r respectively, then the moment of inertia of A is

32. The correct relation between moment of inertia I, radius of gyration k and mass M of the body is

33. Radius of gyration of a body depends upon

34. Which of the following has the highest moment of inertia when each of them has the same mass and the same outer radius

35. Moment of inertia of a hollow cylinder of mass M and radius r about its own axis is

36. Moment of inertia of a circular wire of mass M and radius R about its diameter is

37. Moment of inertia does not depend upon

38. The moment of inertia of a uniform circular disc of radius ‘R’ and mass ‘M’ about an axis passing from the edge of the disc and normal to the disc is

39. The moment of inertia of a ...A... body about an axis ...B... to its plane is equal to the sum of its moments of inertia about two ...C... axes concurrent with perpendicular axis and lying in the plane of the body.
Here, A, B and C refer to