A bicycle wheel that has a radius equal to 28cm is mounted at the centre of a 50cm long axle. The tire and rim weigh 30N. Te wheel is spun at 12rev/s and the axle is then placed in a horizontal position by one end resting on a pivot. a) What is the angular momentum due to the spinning of the wheel? (Treat the wheel as a hoop) b) What is the angular velocity of precession? c) How long does it take for the axle to swing through 360 degrees around the pivot? d) What is the angular momentum associated with the motion of the center of mass, that is, due to the precession? In what direction is this angular momentum?