Find the intensity of gravitational field at a point lying at a distance `x` from the centre on the axis of a ring of radius `a` and mass `M`.

The intensity of gravitational field at a point situated at a distance of 8000km form the centre of the earth is 6//kg . The gravitational potential at that point is -(in joule /kg)

Find the centre of mass of a uniform semicircular ring of radius R and mass M .

A uniform solid of valume mass density rho and radius R is shown in figure. (a) Find the gravitational field at a point P inside the sphere at a distance r from the centre of the sphere. Represent the gravitational field vector vec(l) in terms of radius vector vec(r ) of point P. (b) Now a spherical cavity is made inside the solid sphere in such a way that the point P comes inside the cavity. The centre is at a distance a from the centre of solid sphere and point P is a distance of b from the centre of the cavity. Find the gravitational field vec(E ) at point P in vector formulationand interpret the result.

Calculate gravitational field intensity at a distance x on the axis from centre of a uniform disc of mass M and radius R .

Find potential at a point 'P' at a distance 'x' on the axis away from centre of a uniform ring of mass M and radius R .

A charge Q is uniformly on a ring of radius R . Find the electric potential on the axis of ring at distance x from the centre of the ring. Sketch variation of potential with respect to x .

A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.