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

2. Why is the perpendicular axis theorem restricted to planar laminae only?

3. A uniform cone placed on its base shows which type of equilibrium?

4. For a system of two particles of masses and located at and , the position of the center of mass is:

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

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

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

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

9. In a uniform semicircular wire of radius , the center of mass is located at:

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

11. A cylinder rolling on its curved surface is in:

12. The angular momentum of a particle of mass with position vector and velocity is:

13. Moment of inertia of a uniform disc of radius and mass about an axis through its center and perpendicular to its plane is:

14. Which type of friction is smaller:

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

16. If a force of 20 N is applied at a perpendicular distance of 0.5 m from the axis of rotation, what is the torque?

17. What is the moment of inertia of a hollow spherical shell of mass and radius about a diameter?

18. In which case is angular momentum NOT conserved?

19. If , geometrically this means:

20. The total kinetic energy of a body rolling without slipping is given by:

21. If a wheel is rolling with slipping, which of the following statements is true?

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

23. For a uniform rod of length , the center of mass lies at:

24. Which of the following is a necessary condition for translational equilibrium of a rigid body?

25. Why does a wide-base cooking pot not topple easily?

26. What is the general method to calculate the center of mass of a continuous body?

27. Which physical quantity is conserved when no external torque acts on a system?

28. For a uniform circular lamina of radius , which statement is correct using the perpendicular axis theorem?

29. If a torque of 20 N·m is applied to a wheel of moment of inertia 5 kg·m, what is the angular acceleration?

30. Which physical quantity does the distribution of mass affect the most in rotational motion?

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

2. If the linear velocity of the center of mass is 3 m/s and the wheel radius is 0.5 m, what is the angular velocity for rolling without slipping?

3. Why is studying rotational motion important in astronomy?

4. Why does a figure skater extend arms to slow down after spinning fast?

5. What is meant by the center of mass of a system?

6. For a uniform sphere, where does the center of mass lie due to symmetry?

7. Why is moment of inertia important in rotational dynamics?

8. In rotational motion about a fixed axis, how do the particles of the body move?

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

10. Moment of inertia of a uniform solid sphere of radius and mass about a tangent to the sphere is:

11. A bomb explodes into three fragments in space where no external force acts. The vector sum of momenta of all fragments is:

12. In translational motion, linear momentum is defined as . What is its analogue in rotational motion?

13. What is the moment of inertia of a thin uniform rod of length and mass , about an axis passing through one end and perpendicular to its length?

14. If two bodies collide on a frictionless horizontal surface, the velocity of their center of mass after the collision will:

15. Why do trains experience less resistance despite their massive weight?

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

17. Why do figure skaters extend their arms to slow down a spin?

18. Which everyday activity demonstrates torque?

19. If a force of 20 N is applied at a perpendicular distance of 0.5 m from the axis of rotation, what is the torque?

20. The direction of the vector product is determined by:

21. Why is it difficult to stop a spinning top suddenly?

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

23. If the radius of a rotating disc is doubled while keeping angular velocity constant, what happens to the linear velocity of a point on its rim?

24. The moment of inertia of a thin uniform rod of length and mass , about an axis along its length (longitudinal axis), is:

25. If a wheel makes 120 revolutions per minute, what is its angular velocity in radians per second?

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

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

28. Which type of friction is responsible for maintaining rolling without slipping?

29. Why is momentum conserved in all types of collisions, elastic or inelastic?

30. Why does a planet continue to orbit the Sun in an elliptical path without spiraling into it?

31. A solid sphere and a hollow sphere of equal mass and radius roll down the same incline. Which has greater rotational KE at the bottom?

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

33. Which principle of rotational motion explains why spinning satellites remain stable in space?

34. The perpendicular axis theorem is applicable to which type of bodies?

35. Why is the perpendicular axis theorem restricted to planar laminae only?

36. If two bodies of unequal masses are connected and fall freely in a uniform gravitational field, the center of mass of the system will:

37. Which is the correct mathematical expression for torque ?

38. Why do astronauts in space stations feel weightless even though gravity acts on them?

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

40. What is the primary condition for rolling motion without slipping?

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

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

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

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

45. Which type of friction is smaller:

46. Which of the following conditions results in zero torque?

47. A seesaw with two children of equal mass sitting at equal distances from the fulcrum is in equilibrium because:

48. Which property does angular momentum share with linear momentum?

49. If a wheel of radius 0.3 m experiences a torque of 6 N·m, what force is applied tangentially at the rim?

50. The moment of inertia of two equal masses connected by a light rod of length , about an axis through the midpoint and perpendicular to the rod, is: