Question

Assertion :The kinetic energy of a rigid body with respect to centre of mass is $\frac{1}{2}I{\omega }^2$. Reason: In COM frame body can have only pure rotation.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

In COM frame,the body performs a rotational motion. thus only energy of body is that frame is rotational energy that is $\frac{1}{2}I{\omega }^2$

Thus assertion and reason are true with reason explaining the assertion.