A wedge like the one in Exercise 22 has a = 4, b = 6, and c = 3. Make a quick sketch to check for yourself that the square of the distance from a typical point (x, y, z) of the wedge to the line L: z = 0, y = 6 is r² = (y - 6)² + z². Then calculate the moment of inertia of the wedge about L.

Data from Exercise 22

The coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled edges. Find I_x, I_y, and I_z if a = b = 6 and c = 4.

C X 63 72 b N Centroid at (0, 0, 0) a