A uniform solid sphere of radius R has a hole of radius `R//2` drilled inside it. One end of the hole is at the centre of the sphere while the other is at the boundary. Locate centre of mass of the remaining sphere..

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at the centre of the sphere is

The M.I. of solid sphere of mass M and radius R about its diameter is

A metal sphere of radius 1cm is charged with 3.14 mu C . Find the electric intensity at a distance 1 m from centre of metal sphere.

If V denotes the volume and S denotes the surface area of a sphere then find the rate of change of V w.r.t. s when the radius of sphere is 2cm.

A big dumb-bell is prepared by using a uniform rod of mass 60 g and length 20 cm. Two identical solid spheres of mass 50 g and radius 10 cm each are at the two ends of the rod. Calculate moment of inertia of the dumb-bell when rotated about an axis passing through its centre and perpendicular to the length.

A big dumb bell is prepared by using a uniform rod of mass 60 g and length 20 cm.Two identical solid spheres of mass 50 g and radius 10 cm each are at the two ends of the rod. Calculate moment of inertia of the dumb bell when rotated about an axis passing through its centre and perpendicular to the length.

Four uniform solid cubes of edges 10 cm, 20 cm, 30 cm and 40 cm are kept on the ground, touching each other in order. Locate centre of mass of their system.