Let lA and LB be moments of inertia of a body about two axes A and B respectively.

Question

Let lA and LB be moments of inertia of a body about two axes A and B respectively.

Let l_A and L_B 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) I_A < I_B

(b) If I_A< I_B,the axes are parallel

(c) If the axes are parallel, I_A<I_B.

(d) If the axes are not parallel ,I_A≥ I_B.

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

(c) If the axes are parallel, I_A< I_B

Explanation:

From the parallel axis theorem I_B = I_A + I_A.r² where r is the distance between the parallel axes. Hence I_A < I_B.

Others are not necessary conditions.

4 views Answered 2023-02-05 15:29