First slide

Moment of intertia

Question

Let I_A and I_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. Choose the correct option.

Easy

A

$I_{A} < I_{B}$
B

$I_{A} < I_{B}$ , whether the axes are parallel or not parallel
C

If the axes are parallel, $I_{A} < I_{B}$
D

If the axes are not parallel, $I_{A} \geq I_{B}$

Solution

I_CM is less than I about any other axis not passing through centre of mass only when two axes are parallel.

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