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. Which example illustrates the conservation of angular momentum in space?

2. Why do divers tuck their legs and arms while spinning?

3. Which of the following correctly shows the analogy between translational and rotational motion?

4. The torque responsible for rolling motion without slipping is produced by:

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

6. When does the relation not hold true?

7. What is the main function of rolling motion in conveyor belt rollers?

8. Why are reaction wheels used in spacecraft?

9. If two equal masses collide elastically in one dimension, the center of mass:

10. A system has three particles of masses 2 kg, 3 kg, and 5 kg located at x = 0 m, x = 2 m, and x = 4 m. The x-coordinate of the center of mass is:

11. Which physical quantity represents the rate of change of linear momentum?

12. What is the SI unit of torque?

13. If a person runs around a circular track of radius 7 m at a speed of 7 m/s, what is their angular velocity?

14. Two bodies of masses and moving toward each other collide elastically. What happens to the velocity of the center of mass?

15. The direction of geometrically represents:

16. For a two-particle system, the position of the center of mass is closer to:

17. Four point masses are placed at the corners of a square of side . The moment of inertia about an axis perpendicular to the square and passing through its center is:

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

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

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

21. In a system of colliding particles, why is the center of mass frame often used for analysis?

22. Which of the following correctly relates angular velocity in rpm to rad/s?

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

24. For a uniform circular disc of radius , the center of mass is located at:

25. For a wheel rolling without slipping, what is the velocity of the topmost point relative to the ground?

26. The magnitude of the vector product represents:

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

28. The perpendicular axis theorem can be used to calculate the moment of inertia of a thin circular disc about its center and perpendicular axis because:

29. Why is it easier to spin a skater with arms folded than with arms stretched?

30. Moment of inertia of a uniform solid cylinder of mass , radius , and length , about its central diameter is:

1. In rotational motion, angular momentum is related to torque by which expression?

2. The perpendicular axis theorem cannot be applied to:

3. Which of the following is a direct application of the parallel axis theorem?

4. When a cylinder rolls without slipping, what is the acceleration condition?

5. What is the moment of inertia of a uniform solid sphere of mass and radius about its diameter?

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

7. Which of the following must hold true for rolling without slipping?

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

9. Two wheels of radii and are rotating at the same angular velocity. Which statement is correct?

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

11. Which of the following explains why a diver pulls in their arms while spinning in the air?

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

13. Why is it important to study rotational motion separately from translational motion?

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

15. For a body in uniform circular motion, what is the relationship between the directions of angular velocity vector and linear velocity ?

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

17. The parallel axis theorem was derived using which principle?

18. The momentum of a system of particles can be expressed as:

19. A body of moment of inertia is rotating with angular velocity . If its moment of inertia changes to without external torque, its new angular velocity will be:

20. If a system of particles is rotated about its center of mass, what is the effect on its motion?

21. Which of the following is an example of stable equilibrium in everyday life?

22. What is the vector definition of angular momentum for a particle?

23. A force of 12 N is applied at an angle of 90° to a lever arm of length 0.75 m. Calculate the torque.

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

25. What is the radius of gyration of a body?

26. The cross product of force and displacement vector is related to:

27. A torque of produces an angular acceleration of in a wheel. What is the wheel’s moment of inertia?

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

29. A beam is supported at two ends and loaded in the middle. For equilibrium, which condition must hold true?

30. If the area of a triangle with sides represented by vectors and is required, it is given by:

31. In astrophysics, why do planets in our solar system continue to orbit the Sun without slowing down significantly?

32. Which of the following best represents the geometric interpretation of the vector product in 3D space?

33. Which principle of rotational motion is used in the working of a flywheel in engines?

34. Two cars of masses and collide head-on and stick together. This is an example of:

35. Why does a freely falling body in uniform gravity appear weightless to its internal parts?

36. For a homogeneous sphere, the center of mass lies:

37. Which quantity describes translational motion in the same way angular displacement describes rotational motion?

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

39. What is the role of rolling motion in ballpoint pens?

40. Which of the following best describes the motion of a point on the rim of a rolling wheel?

41. The torque responsible for rolling motion without slipping is produced by:

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

43. 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?

44. Which of the following pairs is correct for SI units?

45. The SI unit of torque is:

46. Which law or principle does the perpendicular axis theorem resemble in mathematical form?

47. Which of the following is an application of equilibrium in furniture design?

48. If the mass of a particle remains constant, the relation simplifies to:

49. For a uniform triangular lamina, the center of mass lies:

50. For a projectile launched into a uniform gravitational field, the path of its center of mass is: