A bicyclist traveling with speed v = 3.2m/s on a flat toad is making a turn with radius r = 2.8 m. The forces acting on the cyclist and cycle are the normal force (N) and friction force (Ffr) exerted by the road on the tires and mg, the total weight of the cyclist and bicycle.(adsbygoogle = window.adsbygoogle || []).push({});

a. Explain why the angle theta the bicycle makes with the verticle must be given by tan(theta) = Ffr/N if the cyclist is to remain balanced.

b. Find theta for the values given.

c. If the coefficient of static friction between the tires and road is µs = 0.65, what is the minimum turning radius?

I am having some difficulty deriving why part a is true... and as for b I am thinking we should consider the "circular" translational motion of the bicycle and rider. Only problem is since I can't understand a, part b is somewhat confusing as well.

I would appreciate any help. Thanks a lot.

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# Homework Help: General Rotation applied to a bicyclist in a turn

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