Q.

A square plate of mass ‘M’ and edge ‘L’ it shown. The moment of inertia of the plate about the axis in the plane of plate and passing through one of its vertex making an angle 15o from horizontal is 11ML28x Where ‘x’ is

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answer is 3.

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Detailed Solution

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Ix+Iy=Iz

By similarity we can say Ix and Iy are equal

Ix=Iy=Iz2

So,Ix=Iy=ML212

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from the above figure

I'=Ix+Mr2=ML212+M3 L222=ML212+3 L28

I'=11M24 L2

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