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Question

State theorem of parallel axes and theorem of perpendicular axes about moment of inertia.

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Solution

The theorem of parallel axis states that the moment of inertia (I) of a body about any axis is equal to sum of its moment of inertia (ICM) about a parallel axis through the centre of mass and the product of the mass M of the body and the square of the perpendicular distance a between the two axes.
The theorem of perpendicular axes about moment of inertia states that the moment of inertia of a plane lamina about an axis perpendicular to its plane is equal to the sum of its moments of inertia about two mutually perpendicular axes in its plane and through the point of intersection of the perpendicular axis and the lamina.

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