Rotational Motion Mock Tests

The moment of inertia of a solid sphere of mass M and radius R about its diameter is:

A person stands on a frictionless rotating platform holding weights with arms extended, rotating at angular speed ω. The moment of inertia of the system in this configuration is I. The person then pulls the weights closer, reducing the moment of inertia to I/2. What is the new angular speed?

A body of mass m is moving with uniform circular motion in a circle of radius r. If its angular momentum is L, the centripetal force required is:

The moment of inertia of a disc of mass M and radius R about its tangential axis (perpendicular to plane) is:

The moment of inertia of a solid sphere of mass M and radius R about a tangent is:

A sphere of mass 2 kg and radius 0.1 m rotates about an axis through its centre with angular speed 10 rad/s. Its rotational kinetic energy is (I = 2mR²/5):

A torque of 10 N⋅m acts on a body producing an angular acceleration of 2 rad/s². The moment of inertia is:

A uniform disc of mass M and radius R is rotating about its central axis with angular velocity ω. A particle of mass m is gently placed on the disc at a distance R/2 from the center. If the coefficient of friction between the particle and disc is μ, the minimum value of μ for the particle to move without slipping is: