A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.655 m in diameter, wrapping lead wire around the rim, and taping it in place. The shaft projects 0.210 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 9.50 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/s. Find the magnitude and direction of the force each hand exerts on the shaft under the following conditions: A) The shaft is at rest. B) The shaft is rotating in a horizontal plane about its center at .04 rev/s. C) The shaft is rotating in a horizontal plane about its center at .20 rev/s. D) At what rate must the shaft rotate in order that it may be supported at one end only?