State the parallel axes theorem on moment of inertia.

State the perpendicular axis theorem.

a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be (2MR^2)/5 , where M is the mass of the sphere and R is the radius of the sphere. b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR^2/4 , find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

Write the relation between moment of inertia and angular momentum.

Consider moment of inertia of a uniform thin circular disc about a diametrical axis of the disc. There is a theorem which helps to find the moment of inertia of the disc about another axis parallel to this axis. Give the statement of this theorem.

Moment of inertia of a ring about an axis passing through the center is MR^2 . The moment of inertia about a diameter can be found using the perpendicular axis theorem.Obtain the expression for the moment of inertia of a ring about its diameter.

State any two factors on which the moment of inertia of a rigid body depends.