Center of Mass, Rigid Bodies & Rotational Motion Test Online MCQs

1. The moment of inertia of a rod about an axis through its center and perpendicular to it is 1/12 ML² (where M is the mass and L, the length of the rod). The rod is bent in the middle so that the two halts make an angle of 60°. The moment of inertia of the bent rod about the same axis would be:

2. In the diagram shown below all three rods are of equal length L and equal mass M. The system is rotated such that rod B is the axis. What is the moment of inertia of the system?

3. If a street light of mass M is suspended from the end of a uniform rod of length L in different possible patterns as shown in figure, then:

4. Two particles of masses m₁ and m₂ (m₁ > m₂), initially at rest, move towards each other under an inverse square law force of attraction Pick out the correct statement about the center of mass (CM) of the system

5. If a solid sphere of mass 1 kg and radius 0.1 m rolls without slipping at a uniform velocity of 1 m/s along a straight line on a horizontal floor, the kinetic energy is:

6. If there is change of angular momentum from 1J to 5 J in 5 second. Then the torque is:

7. A constant torque of 31.4 Nm is exerted on a pivoted wheel. If the angular acceleration of the wheel is 4π rad/sec², then the moment of inertia will be:

8. A wire of mass m and length l is bent in the form of a circular ring, the moment of inertia of the ring about its axis is

9. If the equation for the displacement of a particle moving on a circular path is given as θ = 2t³ + 0.5, where θ is in radians and t is in second. Then the angular velocity of the particle after two second will be:

10. Which of the following is true about the angular momentum of a cylinder down a slope without slipping

11. The motion of planets on the solar system is an example of the conservation of:

12. The moment of inertia of a regular circular disc of mass 0.4 kg and radius 100 cm about an axis perpendicular to the plane of the disc and passing through its center is:

13. A circular disc rotating with frequency f₀ = 1.3 rev/sec comes to a stop in 30 seconds. The approximate angular acceleration is:

14. A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity v m/s. If it is to climb the inclined surface then v should be:

15. The direction of the angular velocity vector is along