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
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 AI1+I3 B All of the above is correct CI1+I2 DI3+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