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

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

2. In an orbital motion, the angular momentum vector is:

3. 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?

4. 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:

5. 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:

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

7. 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:

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

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. 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:

11. A disc is rolling without slipping on a straight surface. The ratio of its translational kinetic energy to its total kinetic energy is

12. The angular speed of a body changes from ω₁ to ω₂ without applying a torque but due to changes in moment of inertia. The ratio of radii of gyration in two cases is

13. Four point masses, each of value m, are placed at the corners of a square ABCD of side l. The moment of inertia of this system about an axis passing through A and parallel to BD is

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. 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: