Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_118

7/118 The rectangular steel plate of mass 12 kg is welded to the shaft with its plane tilted 15° from the plane (\(x\)-\(y\)) normal to the shaft axis. The shaft and plate are rotating about the fixed \(z\)-axis at the rate \(N = 300 \text{ rev/min}\). Determine the angular momentum \(\mathbf{H}_O\) of the plate about the given axes and find its kinetic energy \(T\).