The acceleration down the plane of spherical body of mass m radius R and moment of inertia I having inclination `theta` to the horizontal is

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

The pulleys in figure are identical, each having a radius R and moment of inertia I. Find the acceleration of the block M.

The pulleys in figure are identical, each having a radius R and moment of inertia I. Find the acceleration of the block M.

Consider a system of a small body of mass m kept on a large body of mass M placed over an inclined plane of the angle of inclination theta to the horizontal. Find the acceleration of m when the system is set in motion. Assume an inclined plane to be fixed. all the contact surfaces are smooth.

Consider a system of a small body of mass m kept on a large body of mass M placed over an inclined plane of the angle of inclination theta to the horizontal. Find the acceleration of m when the system is set in motion. Assume an inclined plane to be fixed. all the contact surfaces are smooth.

The pulleys in filgure are identical, each having a radius R and moment of inertia I. Find the acceleration of the block M.

A cotton reel of mass m , radius R and moment of inertia I is kept on a smooth horizontal surface. If the string is pulled horizontally by a force F , find the (i) acceleration of CM , (ii) angular acceleration of the cotton reel.

A round unifrom body of radius R, mass M and moment of inertia I rolls down (without slipping) an inclined plane making an angle theta with the horizontal. Then its acceleration

A disc of mass M and radius R is rolling without slipping down an inclined plane. Show that the acceleration of the centre of mass of the disc is (2)/(3) g sin theta . Given angle of inclination of the plane is theta and moment of inertia of the disc is (MR^(2))/(2) .