A demonstration gyroscope wheel is constructed by removing thetire from a bicycle wheel 0.655 m in diameter, wrapping lead wirearound the rim, and taping it in place. The shaft projects 0.190 mat each side of the wheel, and a woman holds the ends of the shaftin her hands. The mass of the system is 9.50 kg ; its entire massmay 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 shaftis at rest.
b) Find the force each hand exerts on the shaft when the shaftis rotating in a horizontal plane about its center at4.80×10?2 rev/s .
c) Find the force each hand exerts on the shaft when the shaftis 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 besupported at one end only?
