Ncert Exercises & Solutions

Question 7. 1. Give the location of the center of mass of an (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the center of mass of a body necessarily lie inside the body?

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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