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Question

The moment of inertia of a thin square plate ABCD (shown in the figure) of uniform thickness about an axis passing through the centre O perpendicular to the plane of plate is


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A
I1+I2
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B
I3+I4
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C
I1+I3
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D
All of the above is correct
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Solution

The correct options are
A I1+I3
B All of the above is correct
C I1+I2
D 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=2I4
I1=I2=I3=I4

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