The spheres of Prob. 7/53 are replaced by three rods, each of mass m and length l, mount...

The spheres of Prob. 7/53 are replaced by three rods, each of mass m and length l, mounted at their centers to the shaft, which rotates with the angular velocity as shown. The axes of the rods are, respectively, in the x-, y-, and z-directions, and their diameters are negligible compared with the other dimensions. Determine the angular momentum H_O of the three rods with respect to the coordinate origin O.