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1. Define centre of mass of a system.
2. On what factors, does the position of centre of mass of a rigid body depend ?
3. Where does the centre of mass of uniform triangular lamina lie ?
4. Where does the centre of mass of a cone lie ?
5. What is an isolated system ? What will be the nature of motion of centre of mass of isolated system ?
6. Where does the centre of mass of a two particle system lie, if one particle is more massive than the other ? [Delhi 97]
7 Give an example each for a body, where the centre of mass lies inside the body and outside the body. [Delhi 99]
8. Where does the centre of mass of two particles of equal mass lie ? What is its position vector ?
9. Write an expression for the centre of mass of a two particle system.
10. Write an expression for the velocity of the centre of mass of a system of particles. [Central Schools 13]
11. What is a rigid body ? [Himachal 08 ; Delhi 09]
12. Name the rotational analogue of force. Give its SI unit.
13. Is torque a scalar or vector ? If vector, which rule is used to determine its direction ?
14. Write the dimensional formula of torque.
15. What is the ratio of SI unit to the CGS unit of torque ?
16. Under what conditions, is the torque zero ?
17. A body is rotating at a steady rate. Is any torque acting on the body ?
18. Which physical quantity corresponds to moment of linear momentum ?
19. Write the dimensional formula of angular momentum. Is it a scalar ?
20. Write the SI unit of angular momentum. [Delhi 08]
21. What is the ratio of the SI unit to the CGS unit of angular momentum ?
22. Name the constant whose dimensions are same as that of angular momentum ?
23. Does the magnitude and direction of angular momentum depend on the choice of the origin ?
24. Does the total momentum of a system of particles depend upon the velocity of the centre of mas ?
25. What is the angular momentum of a body of mass m moving in a circular path of radius r with constant speed v?
26. State right hand rule to find the direction of angular momentum.
27. Name the physical quantity which is equal to the time rate of change of angular momentum.
28. Which physical quantity is conserved when a planet revolves around the sun ?
29. A planet revolves around the sun under the effect of gravitational force exerted by the sun. Why is the torque on the planet due to the gravitational force zero ?
30. A boat is likely to capsize if the persons in the boat stand up. Why ?
31. A body is moving in a circle of radius r centimetre at a constant speed of v cm s_√ What is the angular velocity ?
32. What is the angular velocity of the earth spinning about its own axis ?
33. Is the angular velocity of rotation of hour hand of a watch greater or smaller than the angular velocity of earth’s rotation about its own axis ?
34. Two bodies move in two concentric circular paths of radii rx and r0 in the same time. What is the ratio of their angular velocities ?
35. Name the rotational analogue of linear acceleration.
36. What is the analogous of mass in rotational motion ? Write unit of that physical quantity also. [Delhi 95, 08]
37. Is moment of inertia a scalar or a vector quantity ? [Himachal 01]
38. Write an expression for the moment of inertia of a rod of mass ‘M’ and length ‘U about an axis perpendicular to it through one end. [Delhi 2003]
39. What is the moment of inertia of a solid sphere about its diameter ? [Delhi 09]
40. What is the moment of inertia of a hollow sphere about an axis passing through its centre ?
41. Find the radius of gyration of a uniform solid sphere about its diameter. [Central Schools 14]
42. What is the dimensional formula of radius of gyration ?
43. State the factors on which radius of gyration of a body depends.
44. A circular ring and a circular disc of the same radius have the same moment of inertia about axis passing through their centres and perpendicular to their planes. What is the ratio of their masses ?
45. Where does the centre of mass of a rectangular lamina lie ? [Himachal 03]
46. What is torque ? Give its SI unit. [Himachal 04, 05C, 09]
47. What are the factors on which the moment of inertia of a body depends ? [Himachal 04]
48. Give the physical significance of moment of inertia. [Himachal 08, 09]
49. Which physical quantity is represented by the product of moment of inertia and angular velocity ? [Delhi 04 ; Central Schools 12]
50. Define angular momentum. [Himachal 05C, 07C, 08, 09]
51. Define the term moment of momentum. [Himachal 07C]
52. Write two factors on which centre of mass of a body does not depend.
Systems of Particles and Rotational Motions Worksheet Class 11 Physics