Assume a cyclist of weight mg can exert a force on
Chapter 7, Problem 7.85(choose chapter or problem)
Assume a cyclist of weight mg can exert a force on thepedals equal to 0.90 mg on the average. If the pedals rotatein a circle of radius 18 cm, the wheels have a radius of 34 cm,and the front and back sprockets on which the chain runshave 42 and 19 teeth respectively (Fig. 7-31), determine themaximum steepness of hill the cyclist can climb at constantspeed. Assume the mass of the bike is 12 kg and that of therider is 65 kg. Ignore friction. Assume the cyclists averageforce is always: (a) downward; (b) tangential to pedal motion.FIGURE 7-31 85.
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