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Q.

Let I be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides.CD is a line in the plane of the plate and passes through the centre of the plate and makes ∠θ withAB . The moment of inertia of the plate about axis CD is then equal to.

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a

I

b

I sin2θ

c

I cos2θ

d

I cos2(θ/2)

answer is A.

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Detailed Solution

As the plate is a uniform square plate, its moment of inertia about any axis in its plane passing through the centre of plate must be the same.

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