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 hollow sphere rolls down a 30^@ incline of length 6m without slipping. The speed of centre of mass at the bottom of plane is

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 solid sphere of mass M and radius R, rolling down a smooth inclined plane, without slipping, reaches the bottom with a velocity v. What is the height of the inclined plane in terms of the velocity v ?

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 solid sphere of mass m rolls down an inclined plane without slipping from rest at the top of an inclined plane.The linear speed of the sphere at the bottom of the inclined plane is v .The kinetic energy of the sphere at the bottom is