Class 11 Physics — Chapter 7: System of Particles and Rotational Motion Online Test

1. Which energy distribution makes a body accelerate faster down an incline?

2. Which of the following is an application of rolling motion in daily life?

3. In rolling without slipping, the fraction of total energy in rotational form for a solid cylinder is:

4. For a body rolling without slipping, the condition linking linear acceleration and angular acceleration is:

5. A wheel of radius 0.5 m rolls without slipping with angular speed . What is the speed of its center of mass?

6. The phenomenon of accretion disks around black holes is strongly influenced by:

7. Which law connects torque and angular momentum?

8. If the torque acting on a body is constant, the work done by the torque after an angular displacement is:

9. If the torque acting on a wheel is zero, what will be the angular acceleration of the wheel?

10. Using parallel axis theorem, what is the moment of inertia of a disc of mass and radius about an axis tangent to the disc and lying in its plane?

11. Which of the following steps is important in the proof of the perpendicular axis theorem?

12. Which of the following steps is essential in the proof of the parallel axis theorem?

13. For a rectangular lamina of length and breadth , the perpendicular axis theorem can be applied to relate:

14. Moment of inertia of a thin rectangular plate of length , breadth , and mass about an axis through its center and perpendicular to its plane is:

15. What is the SI unit of moment of inertia?

16. What does the moment of inertia of a body represent?

17. Why are loaded ships designed with ballast at the bottom?

18. If a uniform rod is balanced horizontally on a knife edge at its midpoint, it is in:

19. A planet revolving around the sun in an elliptical orbit conserves:

20. Which equation correctly relates angular velocity , linear velocity , and radius of circular motion?

1. A disc of moment of inertia starts from rest and is subjected to a constant torque of . What is its rotational kinetic energy after rotating through ?

2. Which of the following best explains why torque is necessary to change rotational motion?

3. The center of mass of a uniform circular arc of angle and radius lies at:

4. In an inelastic collision between two bodies, which of the following is always conserved?

5. A body of mass moving with velocity collides elastically with another body of mass at rest. Which conservation laws are applied to determine final velocities?

6. The center of mass of a uniform triangular lamina is located at:

7. Why is the concept of a system of particles important in physics?

8. When vectors and are parallel, the geometric interpretation of is:

9. Which of the following is a practical example of the perpendicular axis theorem?

10. For a uniform semicircular disc of radius , the center of mass lies:

11. The mathematical statement of the perpendicular axis theorem is:

12. In the case of a rigid body rotating about a fixed axis, angular momentum is always directed:

13. Which of the following is true about velocities in translational and rotational motion?

14. When a rolling object moves on a horizontal surface without external forces, its total kinetic energy is:

15. In a head-on elastic collision between two masses, the kinetic energy of the COM motion:

16. Which of the following is NOT an example of vector product in physics?

17. When analyzing the equilibrium of bodies in a uniform gravitational field, which point is most convenient for calculations?

18. For a rolling object, which statement about friction is correct?

19. Which condition must be satisfied for a body to remain in stable equilibrium?

20. If two bodies have the same mass and same moment of inertia, which one has a smaller radius of gyration?

21. The parallel axis theorem is most useful for:

22. What is the angular form of Newton’s second law for rotational motion about a fixed axis?

23. For complete equilibrium of a rigid body, which conditions must be satisfied simultaneously?

24. Which of the following is an example of a system of particles?

25. What is the work-energy relation in rotational motion analogous to in linear motion?

26. The work-energy theorem in rotational motion is a direct consequence of:

27. The perpendicular axis theorem cannot be applied to:

28. Which of the following statements is NOT true about vector product?

29. Why is Newton’s second law expressed as more general than ?

30. The perpendicular axis theorem helps in calculating the moment of inertia of:

1. Which quantity in rotational motion is analogous to mass in linear motion?

2. A uniform solid cylinder of mass and radius is pulled by a force at its center. For rolling without slipping, the friction force acts:

3. What is the mathematical relation between torque and angular acceleration for a rigid body?

4. The center of mass of a uniform triangular lamina is located at:

5. The SI unit of torque is:

6. Why does a person experience difficulty in running on a rotating merry-go-round platform?

7. When a moving trolley collides with a stationary trolley of equal mass and sticks to it, the velocity of the system becomes:

8. For a uniform ring rolling without slipping, the ratio of translational KE to rotational KE is:

9. On which factors does the moment of inertia of a rigid body depend?

10. If a wheel of moment of inertia rotates with angular velocity , what is its rotational kinetic energy?

11. Why do engineers design flywheels with large moments of inertia?

12. How does symmetry simplify finding the center of mass of a semicircular wire?

13. If a rolling body begins to slip, which of the following relationships no longer holds?

14. The moment of inertia of a ring of mass and radius about any tangent in the plane of the ring is:

15. A uniform rod of mass and length has a moment of inertia about its center . Using the parallel axis theorem, the moment of inertia about an end is:

16. The perpendicular axis theorem is particularly useful in finding the moment of inertia of:

17. The moment of inertia of a thin rod of length and mass about an axis perpendicular to its length and passing through its midpoint is:

18. A force of 10 N is applied at a point located 0.2 m from the pivot at an angle of 0°. What is the torque?

19. When analyzing the equilibrium of bodies in a uniform gravitational field, which point is most convenient for calculations?

20. For a system of three particles, each of mass , placed at the vertices of an equilateral triangle of side , the moment of inertia about an axis passing through the centroid and perpendicular to the plane is:

21. If a force acts at a position vector , the torque is given by:

22. If two vectors are parallel, their vector product is:

23. Which of the following is a practical example of conservation of angular momentum?

24. In a system of particles, if one particle is much heavier than the others, the center of mass will be:

25. If a rigid body is suspended freely in a uniform gravitational field, it will come to rest in which position?

26. A door is 1 m wide. A person applies a force of 50 N at the edge of the door making an angle of 30° with the door surface. What is the torque about the hinge?

27. Which of the following statements is true about rotational kinetic energy?

28. What is the relationship between frequency and angular velocity ?

29. When a wheel rolls without slipping, the mechanical energy of the system is:

30. If two vectors are perpendicular, the magnitude of their cross product is:

31. Which factor determines the distribution of energy between translational and rotational motion in rolling?

32. In rolling without slipping, the instantaneous axis of rotation of the rolling body is located at:

33. Which of the following physical quantities is directly analogous to torque in linear motion?

34. What happens to the angular acceleration of a flywheel if the applied torque is doubled while keeping the moment of inertia constant?

35. Why do athletes lean forward while running fast?

36. In which type of collision is kinetic energy not conserved but momentum is conserved?

37. A wheel requires a torque of 50 N·m to rotate. If a spanner of length 0.25 m is used, what minimum force must be applied perpendicular to it?

38. If a rigid body is acted upon by three coplanar forces and is in equilibrium, then:

39. Which of the following is true about velocities in translational and rotational motion?

40. When vectors and are parallel, the geometric interpretation of is:

41. Which quantity in rotational motion is analogous to displacement in linear motion when calculating work?

42. A body rotates through an angle of radians in 2 seconds. What is its average angular velocity?

43. In rolling without slipping, the total kinetic energy of a body is:

44. Which of the following is a non-SI unit of angular velocity?

45. Which of the following is NOT an example of conservation of angular momentum?

46. A particle is at position , and a force acts on it. What is the torque about the origin?

47. For a uniform rod placed horizontally, which symmetry ensures the center of mass lies at the midpoint?

48. The center of mass of a uniform circular disc of radius lies:

49. Two ice skaters push each other apart on a frictionless surface. What happens to their total momentum?

50. If three identical particles are placed at the vertices of an equilateral triangle, the center of mass lies: