For the given uniform square lamina ABCD, whose centre is O find the relation between IAC and IEF
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a
IAC=IEF
b
IAC=2IEF
c
2IAC=IEF
d
IAC=3IEF
answer is A.
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Detailed Solution
Let Io be the moment of inertia of square lamina ABCD about an axis perpendicular to the plane of the lamina end passing through O. Applying the theorem of perpendicular axes, we get 2IAC=I0and 2IEF=I0∴ IAC=IEF