The 80.0kg climber in the figure is supported in the \"chimney\" by the friction
ID: 1289959 • Letter: T
Question
The 80.0kg climber in the figure 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 0.81 and 0.62. 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. Ignore his grip on the rope. Express your answer using two significant figures.
The 80.0kg climber in the figure 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 0.81 and 0.62. 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. Ignore his grip on the rope. Express your answer using two significant figures.Explanation / Answer
80*g*0.62=F1
80*g*0.81=F2
F1 + F2=80*g
F2 - F1=80*g*(.81-.62)
F2=80*g -F1
80*g-2*F2=80*g*(.81-.62)
F2=80*g*(1-.81+.62)/2
F2= 317.844 N
F1= 466.956 N
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