Rotational MotionHard

Question

The moment of inertia of a thin square plate ABCD, of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is (where I1, I2, I3 and I4 are respectively moments of inertia about axis 1, 2, 3 and 4 which are in the plane of the plate)
                                    

Options

A.I1 + I2
B.I3 + I4
C.I1 + I3
D.I1 + I2 + I3 + I4

Solution

Form the perpendicular axis theorem, MI about an axis passing through ′O′ & perpendicular to the plane is the sum of any two MI about an axis passing through ′O′ & lie on the plane of plate.

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