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A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.655 m...

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 0.190 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 4.90 rev/s .

a) Find the force each hand exerts on the shaft when the shaft is at rest.

b) Find the force each hand exerts on the shaft when the shaft is rotating in a horizontal plane about its center at 4.80×10?2 rev/s .

c) Find the force each hand exerts on the shaft when the shaft is rotating in a horizontal plane about its center at 0.320 rev/s .

d) At what rate must the shaft rotate in order that it may be supported at one end only?

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