The homogeneous circular cylinder shown has a mass m, and the diameter OB of its top surface
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The homogeneous circular cylinder shown has a mass m, and the diameter OB of its top surface forms 45o angles with the x and z axes.
(a) Determine the principal moments of inertia of the cylinder at the origin O.
(b) Compute the angles that the principal axes of inertia at O form with the coordinate axes.
(c) Sketch the cylinder, and show the orientation of the principal axes of inertia relative to the x, y, and z axes.
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O Z B a First compute the moments of inertia using Figure 928 and the parallelaxis theorem I I m 3a a m 3 1y ma ma ma 2 Next observe that the centroid...View the full answer
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