A uniform disk having mass 0.75 kg and radius 5.2 cm is mounted in the center of a 10 cm axle and spun at around 600 rev/min. The axle is then positioned in a horizontal position having one end resting on a pivot. The other end is given an initial horizontal velocity in such a way that the precession is smooth with no notation.
(i) Determine the magnitude of the angular velocity of precession?
(ii) Find out the speed of the center of mass throughout the precession?
(iii) Determine the magnitude and direction of the acceleration of the center of mass?
(iv) Determine the magnitude of the vertical component of the force applied by the pivot?