The assembly, consisting of the solid sphere of mass m and the uniform rod of length 2c...

The assembly, consisting of the solid sphere of mass m and the uniform rod of length 2c and equal mass m, revolves about the vertical z-axis with an angular velocity ω. The rod of length 2c has a diameter which is small compared with its length and is perpendicular to the horizontal rod to which it is welded with the inclination β shown. Determine the combined angular momentum H_O of the sphere and inclined rod.