A demonstration gyroscope wheel is constructed by removing the tire from a bicyc

Question

A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.640 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 9.00 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/s. Find the force each hand exerts on the shaft when the shaft is at rest. Part B Find the force each hand exerts on the shaft when the shaft is rotating in a horizontal plane about its center at 4.90 times 10^-2 rev/s. Part 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 Part D At what rate must the shaft rotate in order that it may be supported at one end only?

Explanation / Answer

Part a): Force exerted by Left hand = Force exerted by Right hand

That is FL = FR; also   FL + FR  = total weight

FL + FR = 9.00 kg * 9.80 m/s2  = 88.2 N

Or, FL = 44.1 N and FR = 44.1 N ANSWER

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