List of top Physics Questions on Rotational Mechanics

A solid sphere of mass \( M \) and radius \( R \) has moment of inertia \( I \) about its diameter. It is recast into a disc of thickness \( t \) whose moment of inertia about an axis passing through its edge and perpendicular to its plane, remains \( I \). Radius of the disc will be
A thin circular ring of mass \( M \) and radius \( R \) is rotating about a transverse axis passing through its centre with constant angular velocity \( \omega \). Two objects each of mass \( m \) are attached gently to the opposite ends of a diameter of the ring. What is the new angular velocity?
A thin uniform rod of length 'L' and mass 'M' is bent at the middle point 'O' at an angle of 45° as shown in the figure. The moment of inertia of the system about an axis passing through 'O' and perpendicular to the plane of the bent rod, is