Q.

Let ‘I ’ be the M.I. of 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 that passes through the centre of the plate and makes an angle θ with AB. The M.I . of the plate about the axis CD is equal to

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a

I

b

Isin2θ

c

Icos2θ

d

Icos2(θ2)

answer is A.

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Detailed Solution

MI square plate about AB is I=12Ic=Ma212 MI of plate about CD=12Ic=Ma212=I
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Let ‘I ’ be the M.I. of 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 that passes through the centre of the plate and makes an angle θ with AB. The M.I . of the plate about the axis CD is equal to