A bicycle wheel of radius 28 cm is mounted at the middle of anaxle 50 cm long. The tire and rim weigh 30 N. The wheelis spun at 12 rev/s, and the axle is then placed in ahorizontal position with one end resting on a pivot.
(a) What is the magnitude of the angular momentum due to thespinning of the wheel? (Treat the wheel as a hoop.)
(b) What is the angular speed of precession?
(c) How long does it take for the axle to swing through 360°around the pivot?
(d) What is the magnitude of the angular momentum associated withthe motion of the center of mass, that is, due to the precession?