A circular ring and a disc have same mass and radius. Which has larger moment of inertia?

Uniform circular ring of radius 0.5 m has a mass 10 kg and a uniform circular disc of the same radius has a mass 10 kg. Calculate their moment of inertia about an axis passing through the centre and perpendicular to the plane of a ring or a disc.

Three objects, A (a solid sphere), B (a thin circular disc) and C (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed omega about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation

State parallel -axes theorem of moment of inertia. The moment of inertia of a circular ring about its diameter is (1)/(2) MR^(2) . Calculate the moment of inertia of the ring about its tangent lying in its plane.

Seven indentical circular planar discs, each of mass M and radius R are welded symmetrically as shown, The moment of inertia of the arragement about the axis normal to the plane and passing through the point P is

The moment of inertia of a uniform cylinder of length l and radius R about its perpendicular bisector is I. What is the ratio (l)/( R) such that the moment of inertia is minimum ?

A circular disc of mass m and radius r is rolling over a horizontal table top with angular velocity omega . Prove that the total energy of the disc , K = (3)/(4) m omega ^(2) r^(2) .

About which, axis be the moment of inertia be minimum?