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

1. 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:

2. A wheel has angular acceleration of 3.0 rad/s² and an initial angular speed of 2.00 rad/s. In a time of 2 s it has rotated through an angle (in radian) of

3. The direction of the angular velocity vector along:

4. The direction of the angular velocity vector is along

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

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

7. 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?

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

9. A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through it center. At some instant of time a viscous fluid of mass m is dropped at the center and is allowed to spread out and finally fall. The angular velocity during this period:

10. 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:

11. 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:

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

13. 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:

14. 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:

15. 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