Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_23

3/23 If the rider presses on the pedal with a force \( P = 160 \text{ N} \) 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 \( 45 \text{ mm} \) and \( 90 \text{ mm} \), respectively. The mass of the bicycle is \( 13 \text{ kg} \) and that of the rider is \( 65 \text{ kg} \). Treat the rider as a particle moving with the bicycle frame, and neglect drivetrain friction.