8. Three uniform slender rods of mass M and length L each are rigidly attached to each other to form a mutually orthogonal frame as shown in the figure on the right. (a) Find the moment of inertia of the frame for the line passing through P and Q. (b) Show that any line passing through O is a principle axis. (c) Determine for the maximum and the minimum central moments of inertia.
8. Three uniform slender rods of mass M and length L each are rigidly attached to each other to form a mutually orthogonal frame as shown in the figure on the right. (a) Find the moment of inertia of the frame for the line passing through P and Q. (b) Show that any line passing through O is a principle axis. (c) Determine for the maximum and the minimum central moments of inertia.
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