A uniform ring of mass M and radius R is placed directly above a uniform sphere of mass 8M and of same radius R. The centre of the ring is at a distance of `d = sqrt(3)R` from the centre of the sphere. The gravitational attraction between the sphere and the ring is

A uniform rig of mas m and radius a is placed directly above a uniform sphre of mass M and of equyal radius. The centre of the ring is at a distance sqrt3 a from the centre of the sphere. Find the gravitational foerce exerted by the sphere on the ring.

For a uniform ring of mass M and radius R at its centre

The figure represents a solid uniform sphere of mass M and radius R . A spherical cavity of radius r is at a distance a from the centre of the sphere. The gravitational field inside the cavity is

The gravitational field due to an uniform solid sphere of mass M and radius a at the centre of the sphere is

A cavity of radius R//2 is made inside a solid sphere of radius R . The centre of the cavity is located at a distance R//2 from the centre of the sphere. The gravitational force on a particle of a mass 'm' at a distance R//2 from the centre of the sphere on the line joining both the centres of sphere and cavity is (opposite to the centre of cavity). [Here g=GM//R^(2) , where M is the mass of the solide sphere]