Parallel-Axis Theorem Let W be a region in R3 with center of mass at the origin. Let Iz

Chapter 15, Problem 63

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Parallel-Axis Theorem Let W be a region in R3 with center of mass at the origin. Let Iz be the moment of inertia of W about the zaxis, and let Ih be the moment of inertia about the vertical axis through a point P = (a, b, 0), where h = a2 + b2. By definition, Ih = W ((x a)2 + (y b)2)(x, y, z) dV Prove the Parallel-Axis Theorem: Ih = Iz + Mh2.

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