Question

The axis of rotation of a purely rotating body ⇒
(a) must pass through the center of mass
(b) may pass through the center of mass
(c) must pass through a particle of the body
(d) may pass through a particle of the body.

Answer 1

Answer ⇒ Option (b) ''may pass through the center of mass'' and Option (d) ''may pass through a particle of the body''.

Explanation ⇒

We know that it is not a necessary condition that the axis of rotation must be passing through the center of mass or through a particle of the body.

But it may or may not pass through them.

In some cases they do not pass through them even.

Hence, we cannot say Option (a). and Option (c). is correct since the work ''must'' is used.

But Option (b). and Option (d). will be correct, since ''may'' is used.

Hope it helps.