The minimum normal force that the 50.0 kg climber must exert in a vertical chimney scenario is determined by the static friction forces acting on his shoes and back. With static coefficients of friction of 0.90 for the shoes and 0.65 for the back, the climber's weight (approximately 490 N) must be balanced by the maximum static friction forces. The net force must equal zero, leading to the conclusion that the normal force must compensate for the weight and the frictional forces exerted by both surfaces.
PREREQUISITESClimbers, physics students, and anyone interested in understanding the mechanics of climbing and force equilibrium in vertical environments.
physicsss said:The 50.0 kg climber is supported in the "chimney" by the friction forces exerted on his shoes and back. The static coefficients of friction between his shoes and the wall, and between his back and the wall, are 0.90 and 0.65, respectively. What is the minimum normal force he must exert? Assume the walls are vertical and that the static friction forces are both at their maximum, Ffr = µsFN.