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Parallel Axes Theorem, , I low, , The moment of inertia of any object about any arbitrary axes is equal to the sum of moment of, inertia about a parallel axis passing through the centre of mass and the product of mass of the, body and the square of the perpendicular distance between, , the two axes., , , , Mathematically I = Tem + Mr?, , where I is the moment of inertia about the arbitrary axis, I, is moment of inertia about the, parallel axis through the centre of mass, M is the total mass of the object and r is the, perpendicular distance between the axis., , , , Perpendicular Axes Theorem, , Z, , , , The moment of inertia of any two dimensional body about an axis perpendicular to its plane, (L,) is equal to the sum of moments of inertia of the body about two mutually perpendicular, axes lying in its own plane and intersecting, , each other at a point, where the perpendicular axis passes through it., , Mathematically [, = I, + Iy, , where I, and I, are the moments of inertia of plane lamina about perpendicular axes X and Y, respectively which lie in the plane lamina an intersect each other.