The homogeneous circular cylinder shown has a mass m. and the diameter OB of its top surfa...

The homogeneous circular cylinder shown has a mass m. and the diameter OB of its top surface forms 45° angles with the x and z axes. (a) Determine the principal mass 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 axis.