The moment of inertia of a solid body about an axis in 3-space relates the angular acceleration about this axis to torque (force twisting the body). The moments of inertia about the coordinate axes of a body of constant density and mass m occupying a region W of volume V are defined to be I, = m т т I, (? + z) dV (x² + 2?) dV Iz (2? + y*) dV V V V Use these definitions to find the moment of inertia about the z-axis of the rectangular solid of mass 6 given by 0

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