Let IA and Ibe 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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1 Answers

(c) If the axes are parallel, IA< I 

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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