Consider a biker riding on level ground as shown. She wants to have the maximum

Question

Consider a biker riding on level ground as shown. She wants to have the maximum forward acceleration possible, which means experiencing the maximum horizontal force without her wheels slipping.

To analyze this problem correctly, we need to be careful about the forces on the bike wheels. The forces between the road and the back wheel can be different from the forces between the road and the front wheel, and only the back wheel is connected to the drive chain and the pedals. We need to distinguish between these forces in our free body diagram and force equations.

Which of the free body diagrams below is correct for this problem, with the bike and biker accelerating forward? These diagrams are for the biker and the bike combined. In these diagrams, the subscripts G, N, and f refer to the graivitation, normal, and friction forces respectively. The subscripts F and R refer to the Front and Rear wheels. The force labeled "Biker" is the force the biker is exerting to turn the back wheel.

A

B

C

D

F

Explanation / Answer

option F is correct Fgf(gravitation force on front wheel) is balence by Fnf(Normal force on front wheel) Fgr(gravitatioin force on rare wheel) is balenced ny Fnr(Normal force on rare wheel) FfF: Friction force on front wheel (Backward) Ffr: Friction force on rare wheeL (Forward) Inorder the the bile moves Frictional forece on rare wheel must be forward Net gravitational force FG down ward Net gravitational force FG down ward

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