Rotational Motion Mock Tests

A uniform disc of mass 5 kg and radius 0.4 m is rotating about its central axis with an angular acceleration of 4 rad/s². What is the torque required to produce this angular acceleration? (Take I = ½MR² for a disc)

A uniform disc of mass M and radius R rotating with angular velocity ω₀ about its central axis has a second identical disc (initially at rest) gently placed on top of it. The two discs eventually rotate together. The final angular velocity is:

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

A solid sphere of mass M and radius R has moment of inertia I about its diameter. The moment of inertia about a tangent to the sphere is:

A disc of mass M and radius R is rotating with angular velocity ω. If a ring of mass M and radius R is placed on it coaxially, the new angular velocity is:

A circular disc of mass 2 kg and radius 0.5 m rotates about its central axis with angular velocity 10 rad/s. A second identical disc (non-rotating) is gently placed on top of it. After they rotate together, the common angular velocity is:

A torque of 10 N·m acts on a body of moment of inertia 2 kg·m². The angular acceleration is:

A rigid body of mass 10 kg and radius 0.5 m is rotating about its axis with an angular velocity of 10 rad/s. The moment of inertia of a solid sphere is (2/5)mr². Its rotational kinetic energy is: