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
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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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