Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_63

7/63 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 \(\omega\). 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 \(\beta\) shown. Determine the combined angular momentum \(\mathbf{H}_O\) of the sphere and inclined rod.