What is the radius of gyration?

A sphere of outer radius R having some cavity inside is allowed to roll down on an incline. The incline is then made smooth by waxing and the sphere is allowed to slide without rolling and now the speed attained is (5//4)v_0 . What is the radius of gyration of the sphere about an axis passing through its centre ?

The radius of gyration of a body about an axis at a distance of 6 cm from the centre of mass is 10 cm. What is its radius of gyration about a parallel axis through its centre of mass?

The moment of inertia of a solid sphere about an axis passing through its centre of gravity is (2)/(5)MR^(2) . What is its radius of gyration about a parallel axis at a distance 2R from the first axis ?

What is radius of gyration? It is a constant quantity?

What is radius of gyration? Derive an expression for the radius of gyration of n particle system.

What the is radius of gyration of a (a) hollow sphere and (b) solid sphere about an axis passing through the centre along any diameter ?

What is radius of gyration? Write its unit and dimensional formula.

What is radius of gyration ?