Give the location of the centre of mass of a
Question.
Give the location of the centre of mass of a

(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?

solution:

Geometric centre; No

The centre of mass (C.M.) is a point where the mass of a body is supposed to be concentrated. For the given geometric shapes having a uniform mass density, the C.M. lies at their respective geometric centres.

The centre of mass of a body need not necessarily lie within it. For example, the C.M. of bodies such as a ring, a hollow sphere, etc., lies outside the body.
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