Express torque in terms of moment of inertia.

(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^2IS, 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 MR2I4, find its moment of inertia about an axis normal to the' disc and passing through a point on its edge.

What are various types of energies of a flowing liquid? Express them in terms of unit mass of the liquid.

Establish the relation between torque and moment of inertia.

What is the dimension of moment of inertia? Is it vector?

Write down the difference between mass and moment of inertia.

What are the factors on which moment of inertia of a body depends?

What are the factors on which moment of inertia of a body depend?

A dise of metal is melted and make a solid sphere. What will happen to moment of inertia about the axis passing through centre?

Define moment of inertia and radius of gyration. Deduce an expression for MI of a circular disc about an axis passing through its centre. Two circular discs have their masses in the ratio 1:2 and their diameters 2:1 . Calculate the ratio of their moments of inertia

Establish a relation between the torque and moment of inertia of a rigid body.