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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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