Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_122

7/122 A top consists of a ring of mass \(m = 0.52\text{ kg}\) and mean radius \(r = 60\text{ mm}\) mounted on its central pointed shaft with spokes of negligible mass. The top is given a spin velocity of \(10,000\text{ rev/min}\) and released on the horizontal surface with the point \(O\) remaining in a fixed position. The axis of the top is seen to make an angle of \(15^\circ\) with the vertical as it precesses. Determine the number \(N\) of precession cycles per minute. Also identify the direction of the precession and sketch the body and space cones.