Static Equilibrium of climbing harness

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SUMMARY

The discussion focuses on calculating the coefficient of static friction for a climber with a weight of 734.2 N, using angles θ = 36.5° and ϕ = 29.0°. Participants emphasize the importance of drawing a vector triangle to analyze the forces involved rather than relying solely on formulas like cosine(theta)/sin(theta). The correct approach requires a comprehensive understanding of static equilibrium principles and vector analysis to derive the solution accurately.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of vector analysis in physics
  • Familiarity with trigonometric functions and their applications
  • Basic concepts of friction in mechanics
NEXT STEPS
  • Study the principles of static equilibrium in mechanics
  • Learn how to construct and analyze vector triangles
  • Explore the relationship between forces and friction coefficients
  • Practice solving problems involving angles and forces in climbing scenarios
USEFUL FOR

Students in physics or engineering courses, climbing instructors, and anyone interested in the mechanics of climbing and friction analysis.

patelkey
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Homework Statement



a climber with a weight of 734.2 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass. The indicated angles are θ = 36.5° and ϕ = 29.0°. If her feet are on the verge of sliding on the vertical wall, what is the coefficient of static friction between her climbing shoes and the wall?

Homework Equations



I tried using cosine(theta)/sin(theta) but this did not work.

The Attempt at a Solution


I tried using cosine(theta)/sin(theta) but this did not work.
 
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Hi patelkey! :smile:

(have a theta: θ :wink:)
patelkey said:
I tried using cosine(theta)/sin(theta) but this did not work.

hmm … you can't just use formulas for no reason, and hope that they work, and that the computer will accept them. :redface:

Draw a vector triangle for all the forces …

what do you get? :smile:
 

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