If the rider presses on the pedal with a force P =160 N as shown, determine the

Chapter 3, Problem 3/30

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If the rider presses on the pedal with a force \(P= 160 \mathrm{~N}\) as shown, determine the resulting forward acceleration of the bicycle. Neglect the effects of the mass of rotating parts, and assume no slippage at the rear wheel. The radii of sprockets A and B are \(45 \mathrm{~mm}\) and \(90 \mathrm{~mm}\), respectively. The mass of the bicycle is \(13 \mathrm{~kg}\) and that of the rider is \(65 \mathrm{~kg}\). Treat the rider as a particle moving with the bicycle frame, and neglect drivetrain friction.

                                                         

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