The uniform solid sphere shown in the figure has a spherical hole in it. Find the position of its centre of mass.

The objects in the figure are constructed of uniform wire bent into the shape shown. Find the position of the position of the centre of mass of each shape.

What is the position of centre of mass of a uniform sphere?

The object shown in figure is constructed of uniform rods of same material. Find the position of centre of mass w.r.t. its corner O.

The object shown in figure is constructed of uniform rods of same material. Find the position of centre of mass w.r.t. its corner O.

Inside a uniform sphere of density rho there is a spherical cavity whose centre is at a distance l from the centre of the sphere. Find the strength of the gravitational field inside the cavity.

A solid sphere has combined linear and rotation motion as shown in figure. The velocity of its centre of mass when it starts pure rolling is (R = radius of sphere)