A bicyclist traveling with speed v = 9.2 m/s on a flat
Chapter 11, Problem 11.78(choose chapter or problem)
A bicyclist traveling with speed v = 9.2 m/s on a flat roadis making a turn with a radius r = 12 m. The forces actingon the cyclist and cycle are the normal force (Fn) and frictionforce (Ffr) exerted by the road on the tires and rag, the totalweight of the cyclist and cycle. Ignore the small mass of thewheels, (a) Explain carefully why the angle 0 the bicyclemakes with the vertical (Fig. 11-48) must be givenby tan 0 = FfT/FN if the cyclist is to maintain balance.(b) Calculate 0 for the values given. [Hint: Considerthe circular translational motion of the bicycle andrider.] (c) If the coefficient of static friction betweentires and road is = 0.65, what is the minimum turningradius?FIGURE 11-48 78.
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