Derive an expression for the moment of inertia of a (i) hollow cylinder (ii) solid cylinder about its own axis.

State the expression for the moment of inertia of a solid cylinder of uniform cross section about an axis through its centre and perpendicular to its length.

Moment of inertia of a hollow cylinder of mass M and radius R , about the axis of cylinder is

Derive an expression for the moment of inertia of thin uniform rod about an axis passing through its one end. Also find the radius of gyration.

Derive an expression for moment of inertia of a thin circular ring about an axis passing through its centre and perpendicular to the plane of the ring.

Why does a solid sphere have smaller moment of inertia than a hollow cylinder of same mass and radius, about an axis passing through their axes of symmentry ?

State the expression for the moment of inertia of a thin uniform disc about an axis perpendicular to its plane and through its centre. Hence deduce the expression for its moment of inertia about a tangential axis perpendicular to its plane.

Calculate the moment of inertia of a hollow cylinder of mass M and radius R about a line parallel to the axis of the cylinder and on the surface of the cylinder?