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  4. A square frame is made by combining four rods each of mass M and length L. Moment of inertia of the square frame about an axis through one side of the frame is (see figure)

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Q. A square frame is made by combining four rods each of mass M and length L. Moment of inertia of the square frame about an axis through one side of the frame is (see figure)Physics Question Image

Solution:

$I \,= \,I_1 + I_2 + I_3+ I_4$
$I = 0 +\frac {ML^2}{3}+\frac {ML^2}{3}+ML^2$
$I = \frac {5ML^2}{3}$