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Moment of inertia of a thin square plate about an axis passing through its diagonal is I. Its moment of inertia about an axis passing through its centre in the plane of the plate and making an angle θ with the diagonal is

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a

I

b

I cosθ

c

I sinθ

d

I tanθ

answer is A.

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Detailed Solution

IBD = I = IACBy perpendicular axis TheoremIBD + IAC = IZ ⇒ 2I = IZ ......(1)Since I1 and I2 are mutually perpendicular and I1 = I2by perpendicular axis Theorem I1 + I2 = Iz = 2I 2I1 = 2I ⇒ I1 = I

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