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Moment of Inertia: Parallel axis theorem

(See attached file for full problem description with equations)

(Steiner's theorem) If IA is the moment of inertia of a mass distribution of total mass M with respect to an axis A through the center of gravity, show that its moment of inertia IB with respect to an axis B, which is parallel to A and has the distance k from it, is

IB= IA + K2M


Solution Summary

The Steiner's (Parallel axis) theorem for moment of inertial is proved.