In: Physics
A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.640 mm in diameter, wrapping lead wire around the rim, and taping it in place. The shaft projects 0.210 mm 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 kgkg ; 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/srev/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 5.10×10−2 rev/srev/s .
c)Find the force each hand exerts on the shaft when the shaft is rotating in a horizontal plane about its center at 0.315 rev/srev/s .
d)At what rate must the shaft rotate in order that it may be supported at one end only?