Give the location of the centre of mass of: (i) sphere, (ii) cylinder,

1.	Give the location of the centre of mass of: (i) sphere, (ii) cylinder, (iii) ring, (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie inside the body?
Answer» (i) The centre of mass of sphere is located at its centre. (ii) The centre of mass of cylinder is at the centre of its axis of symmetry. (iii) The centre of mass of a ring is at centre of the ring. (iv) The centre of mass of a cube is at its geometrical centre. The centre of mass may lie outside the body also, e.g., in case a ring, a hollow sphere, a hollow cylinder, a hollow cube etc.

Give the location of the centre of mass of: (i) sphere, (ii) cylinder, (iii) ring, (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie inside the body?

Answer»

(i) The centre of mass of sphere is located at its centre.

(ii) The centre of mass of cylinder is at the centre of its axis of symmetry.

(iii) The centre of mass of a ring is at centre of the ring.

(iv) The centre of mass of a cube is at its geometrical centre.

The centre of mass may lie outside the body also, e.g., in case a ring, a hollow sphere, a hollow cylinder, a hollow cube etc.