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 ?

A spherical body of radius R is allowed to roll down on an incline with out slipping and it recheas with a speed v_(0) at the bottom. The incline is then made smooth by waxing and the body is allowed top slide without rolling and now the speed attained is (5)/(4)v_(0) The radius of gyration of the body about an axis passing through the centre is

A thick walled hollow sphere has outer radius R . It down an inclined plane without slipping and its -speed the bottom is v . If the inclined plane is frictionless and the sphere slides down without rolling, its speed at the bottom 5v//4 . What is the radius of gyration of the sphere?

A thick walled hollow sphere has outer radius R . It down an inclined plane without slipping and its -speed the bottom is v . If the inclined plane is frictionless and the sphere slides down without rolling, its speed at the bottom 5v//4 . What is the radius of gyration of the sphere?

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 ?

A solid sphere having mass m and radius r rolls down an inclined plane. Then its kinetic energy is

The ratio of the accelerations for a solid sphere (mass m, and radius R ) rolling down an incline of angle theta without slipping, and slipping down the incline without rolling is