A top consists of a ring of mass m = 0.52 kg and mean radius r = 60 mm mounted on its ce...

A top consists of a ring of mass m = 0.52 kg and mean radius r = 60 mm mounted on its central pointed shaft with spokes of negligible mass. The top is given a spin velocity of 10 000 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° 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.