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

Find an expression for MI of a thin circular RING about an axis passing through its centre and perpendicular to the plane of the ring.

Two rings have their moments of inertia in ratio 2 : 1 and their diameters are in the ratio 2 : 1. The ratio of their masses is

Calculate the moment of inertia of a circular disc passing through centre and perpendicular to its plane.

Calculate the moment of inertia of a ring about in axis passing through centre and perpendicular to its plane.

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

Given the M.I. of a dise of mass M and radius R about any of its diameter to be MR^2 /4. Find its M.I about an axis (i) passing through its centre and normal to it, and (ii) passing through a point at its edge and normal to it.

(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.

MI of a thin circular disc about an axis passing through its centre and perpendicular to its plane is 1/2 MR^2 , where M is the mass of the disc and R is its radius. Find an expression for radius of gyratiuon of the disc about an axis tangential to the edge and peerpendicular to the plane of rotation.

If two bodies have circular path of radius rt and r2 and the time taken are the same, find the ratio of the -angular speed.