A solid sphere of mass m & radius R is cut into two equal parts and kept as shown. Find the height of centre of mass from the ground.

From a hemisphere of radius R a cone of base radius R/w and height R is cut as shown in figure. Find the height of centre of mass of the remaining object.

Three solid spheres of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

Three solid sphere of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

Three solid sphere of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

A uniform sphere has radius R . A sphere of diameter R is cut from its edge as shown. Then the distance of centre of mass of remaining portion from the centre of mass of the original sphere is

A uniform sphere has radius R . A sphere of diameter R is cut from its edge as shown. Then the distance of centre of mass of remaining portion from the centre of mass of the original sphere is

A solid hemisphere of radius R is mounted on a solid cylinder of same radius and density as shown .the height of cylinder is such that the resulting centre of mass is at O. if radius of sphrere is 2sqrt(2)m , what is the height of the cylinder (in m ) ?

A solid sphere of mass M and radius R is in pure rolling as shown in figure. The angular momentum of the sphere about the origin is (linear velocity of centre of mass is v_0 , in positive x-direction)