A circular hole of radius `r` is made in a disk of radius `R` and of uniform thickness at a distance `a` from the centre of the disk. The distance of the new centre of mass from the original centre of mass is

In the figure shown a hole of radius 2 cm is made in a semicircular disc of radius 6pi at a distance 8 cm from the centre C of the disc. The distance of the centre of mass of this system from point C is :

From a uniform circular dis of radius R , a circular dis of radius R//6 and having centre at a distance R//2 from the centre of the disc is removed. Determine the centre of mass of remaining portion of the disc.

All the particles of a body are situated at a distance R from the origin. The distance of the centre of mass of the body from the origin is

A circular hole is cut from a disc of radius 6 cm in such a way that the radius of the hole is 1 cm and the centre of 3 cm from the centre of the disc. The distance of the centre of mass of the remaining part from the centre of the original disc is

The distance of the centre of mass of a hemispherical shell of radius R from its centre is

For a group of particles of different masses,if all the masses are placed at different points at equal distance R from the origin, then the distance of the centre of mass from the origin will be

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]