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Question

# Statement 1: Moment of inertia of a system is minimum about COM. Statement 2: τ=Iα is valid in inertial frame only, except a special case when axis of rotation passes through COM.

A
Statement 1 is correct; Statement 2 is incorrect.
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B
Statement 1 is incorrect; Statement 2 is correct.
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C
Both statements are correct.
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D
Both statements are incorrect.
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Solution

## The correct option is C Both statements are correct.As we know, Rotation about COM provides least resistance. ∴ Moment of inertia about COM is minimum ⇒ Statement 1 is correct. Also, we know τ=Iα is derived from Newton's 2nd law of motion (F=ma), which is valid in inertial frame only. ⇒ Statement 2 is also correct. ∴ option (c) is correct.

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