Moment of Inertia and Parallel Axis Theorem – Rankers Physics
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Moment of Inertia and Parallel Axis Theorem

Assertion (A): Moment of inertia about an axis passing through center of mass is maximum. Reason (R): Theorem of parallel axis can be applied only for two dimensional body of negligible thickness.
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is false because the moment of inertia about an axis passing through the center of mass is the minimum, not maximum, for parallel axes (\(I = I_{CM} + Md^2\)). Reason (R) is false because the parallel axis theorem is applicable to any rigid body, not just 2D bodies of negligible thickness.

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