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

1. 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

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

3. 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:

4. 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

5. 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:

6. 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:

7. 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

8. The direction of the angular velocity vector along:

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 direction of the angular velocity vector is along

11. 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:

12. 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:

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

14. 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:

15. 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: