Fall 2017 university physics i 7. 15 pts) a wheel in the form of a massive solid disk spins frictionlessly and with constant angular velocity around a shaft of edicine mass. one end of the shaft is unpended from a rigid support by a tout string, as shown in the figure below. the shaft makes a (angle with the string, and the connection between the shaft and string can turn irewly and frictionlessly. the shaft-wheel assembly is observed to rotate (or precess) in the plane perpendicular to the string, with the axis of precession being mirallel to the string. the earths gravity acts downward. in this problem use a circle with a dot in the center to indicate a direction out of the page, and a circle with a cross to indicate into the page. the right-hand-rule should come in handy (no pun (a) the direction in which the wheel spins is shown by the arrow in the figure. draw a vector that represents the direction of the angular momentum associated with the spin and label it l. (b) on the figure, indicate the direction of the torque (about the axis of the string) that is caused by gravity acting on the wheel. label this torque f. () indicate the direction in which the wheel processes around the axis of the string. and label it "precession direction". (d) why doesn't the wheel simply fall down, with the shaft becoming vertical (parallel to the string)? explain in a few sentences. (e) in what direction would you need to apply a force to the center of mass of the wheel, in order to catase the shaft to point slightly downward (i. e., make a larger than 10 angle with respect to the string)? indicate this direction on the figure, and label it f. (note: in this case, the assembly would still precess around the string, but it would be pointed slightly downward.) 7 of 7