Friction Coefficients and Minimum Normal Force

AI Thread Summary
The discussion revolves around calculating the minimum normal force required for a climber supported by friction in a vertical chimney. The climber's weight is 68 kg, with static coefficients of friction of 0.78 for shoes against the wall and 0.55 for the back against the wall. The user initially struggled with understanding the forces acting on the climber and the net force involved. After some deliberation and drawing free body diagrams, the user successfully figured out the solution. The conversation highlights the importance of analyzing forces and friction in physics problems.
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Homework Statement



The 68 kg climber in Fig. 4-52 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 0.78 and 0.55, respectively. What is the minimum normal force he must exert? Assume the walls are vertical and that friction forces are both at a maximum.

2. The attempt at a solution

I have drawn some free body diagrams, but I cannot quite grasp this question. Any help towards a solution would be greatly appreciated.
 
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Well, what forces act on the climber? What's the net force?
 
Thanks anyhow. I figured it out now. ;)
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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