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A bicycle wheel has a diameter of63.1 cm and a mass of 1.85 kg. Assume that the wheel is a hoop with allof the mass concentrated on the outside radius. The bicycle isplaced on a stationary stand and a resistive force of 118 N is applied tangent to the rim of the tire.

(a) What force must be applied by a chainpassing over a 8.95 cm diametersprocket if the wheel is to attain an acceleration of 4.57 rad/s2?

N

(b) What force is required if the chain shifts to a 5.65 cm diameter sprocket?

N

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