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Question

The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through its centre and perpendicular to its plane will be:
1500343_a80202b6c5f04658aef0fb4598ab367e.png

A
I3+I2
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B
I1I3
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C
I3+I2+I4
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D
I1+I2+I3+I4
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Solution

The correct option is D I1+I2+I3+I4
The axis of I1 and I2 and that of I3 and I4 are perpendicular to each other .
Using perpendicular axis theorem I=I1+I2+I3+I4
I=2I1+2I2+2I3+2I4I1=I2=I3=I4
Hence, Option D is correct answer.

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