Let L0 be a straight line passing through the centre of mass
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Let L0 be a straight line passing through the centre of mass of a rigid body B of mass m. Let Lk be a straight line para
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Let L0 be a straight line passing through the centre of mass of a rigid body B of mass m. Let Lk be a straight line parallel to and k units distant from L0. If I0 and Ik are the moments of inertia of B about L0 and Lk, respectively, show that Ik D I0 C k2m. Hence, a body always has smallest moment of inertia about an axis through its centre of mass. Hint: Assume that the z-axis coincides with L0 and that Lk passes through the point .k; 0; 0/.
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