A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle `theta`. The frictional force-

A cylinder of radius R and mass M rolls without slipping down a plane inclined at an angle theta . Coeff. of friction between the cylinder and the plane is mu . For what maximum inclination theta , the cylinder rolls without slipping ?

A cylinder of radius R and mass M rolls without slipping down a plane inclined at an angle theta . Coeff. of friction between the cylinder and the plane is mu . For what maximum inclination theta , the cylinder rolls without slipping ?

A uniform thin spherical shell of mass m and radius R rolls down without slipping over an inclined plane of angle theta with the horizontal. The ratio of rotational kinetic energy to the total kinetic energy of the shell will be