Give the location of the centre of mass of a (l) sphere, (u) cylinder,

1.	Give the location of the centre of mass of a (l) sphere, (u) cylinder, (i) ring, and (iv)cube, each of uniform mass density. Does the centre of mass of a body riecessarilylie inside the body?
Answer» center is mass of Sphere (I)Centre of mass of a sphere lies at its geometrical centre. (ii) Centre of mass of a cylinder lies at its geometrical centre i.e. at the mid-point of its axis of symmetry. (iii)Centre of mass of a ring lies at its geometrical centre. (iv)Centre of mass of a cube lies at its geometrical centre i.e. at the point of intersection of its diagonals. No, it does not necessary that centre of mass of a body lie inside it, because in some cases such as a ring, a hollow cylinder, a hollow sphere and a hollow cube centre of mass lies outside.

Give the location of the centre of mass of a (l) sphere, (u) cylinder, (i) ring, and (iv)cube, each of uniform mass density. Does the centre of mass of a body riecessarilylie inside the body?

Answer»

center is mass of Sphere

(I)Centre of mass of a sphere lies at its geometrical centre.

(ii) Centre of mass of a cylinder lies at its geometrical centre i.e. at the mid-point of its axis of symmetry.

(iii)Centre of mass of a ring lies at its geometrical centre.

(iv)Centre of mass of a cube lies at its geometrical centre i.e. at the point of intersection of its diagonals.

No, it does not necessary that centre of mass of a body lie inside it, because in some cases such as a ring, a hollow cylinder, a hollow sphere and a hollow cube centre of mass lies outside.

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