Rappelling problem equilibrium w/ torques

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SUMMARY

The discussion focuses on calculating the tension in the rope and the forces exerted by the cliff on a climber's feet during rappelling. The climber, weighing 77.2 kg and positioned at a 32-degree angle above the horizontal, holds the rope at a 22.9-degree angle with the cliff face. Key equations used include the sum of torques being zero and the equilibrium of forces in both horizontal and vertical directions. Participants emphasize breaking down the forces into components to facilitate the calculations.

PREREQUISITES
  • Understanding of torque and equilibrium in physics
  • Knowledge of vector decomposition for force analysis
  • Familiarity with trigonometric functions related to angles
  • Basic principles of mechanics, particularly in static systems
NEXT STEPS
  • Study the principles of torque and equilibrium in static systems
  • Learn how to decompose forces into their components using trigonometry
  • Explore the applications of Newton's laws in real-world scenarios
  • Investigate the mechanics of climbing and rappelling techniques
USEFUL FOR

Physics students, mountaineering enthusiasts, and anyone interested in the mechanics of climbing and rappelling techniques.

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Homework Statement


Mountaineers often use a rope to lower themselves down the face of a cliff (this is called rappelling). They do this with their body nearly horizontal and their feet pushing against the cliff . Suppose that an 77.2- kg climber, who is 1.99 m tall and has a center of gravity 1.4 m from his feet, rappels down a vertical cliff with his body raised 32 degrees above the horizontal. He holds the rope 1.56 m from his feet, and it makes a 22.9degrees angle with the cliff face.

What is the tension in the rope and what is the force exerted horizontally and vertically that the cliff face exerts on the guys feet

Homework Equations


Sigma Torques = 0
Sigma Fx, Fy = 0


The Attempt at a Solution



I Don't know where to even begin
 
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Can you break up the forces into their components? Sum them up in each direction.
 

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