A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.650 m in diameter, wrapping lead wire around the rim, and taping it in place. The shaft projects 0.200 m at each side of the wheel, and a woman holds the ends of the shaft in her hands. The mass of the system is 8.00 kg; its entire mass may be assumed to be located at its rim. The shaft is horizontal, and the wheel is spinning about the shaft at 5.00 rev/so Find the magnitude and direction of the force each hand exerts on the shaft
(a) When the shaft is at rest;
(b) When the shaft is rotating in a horizontal plane about its center at 0.050 rev/s
(c) When the shaft is rotating in a horizontal plane about its center at 0.300 rev/s
(d) At what rate must the shaft rotate in order that it may be supported at one end only?