Let IA and IB be moments of inertia of a body about two axes A and B respectively,
Let IA and IB be moments of inertia of a body about two axes A and B respectively. The axis A passes through the centre of mass of the body but B does not
(a) IA < IB
(b) If IA < IB, the axes are parallel
(c) If the axes are parallel, IA< IB
(d) If the axes are not parallel IA > IB
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(c) If the axes are parallel, IA< IB
Explanation:
From the parallel axis theorem IB = IA + IA.r² where r is the distance between the parallel axes. Hence IA < IB.
Others are not necessary conditions.
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