Friction Coefficients and Minimum Normal Force

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SUMMARY

The discussion centers on calculating the minimum normal force required by a 68 kg climber supported in a vertical chimney, given static coefficients of friction of 0.78 between his shoes and the wall, and 0.55 between his back and the wall. The climber's equilibrium is analyzed through free body diagrams, leading to the conclusion that understanding the forces acting on the climber is crucial for determining the minimum normal force. The climber successfully resolved the problem after initial confusion regarding the forces involved.

PREREQUISITES
  • Understanding of static friction coefficients
  • Basic principles of free body diagrams
  • Knowledge of Newton's laws of motion
  • Ability to perform calculations involving forces and mass
NEXT STEPS
  • Study the calculation of normal forces in static equilibrium scenarios
  • Learn about the application of friction in climbing dynamics
  • Explore advanced topics in mechanics, such as torque and rotational forces
  • Review case studies involving climbing safety and force analysis
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Physics students, climbing instructors, and anyone interested in the mechanics of climbing and friction forces.

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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. ;)
 

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