How can you determine the forces in equilibrium without using calculus?

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SUMMARY

The discussion focuses on determining forces in equilibrium without the use of calculus. Participants emphasize that since the system is in equilibrium, the net force acting on each point (A, B, and C) must equal zero. Key concepts include the application of static equilibrium conditions and the use of free-body diagrams to analyze forces. The conversation highlights that maximum force considerations for each cord can be addressed through algebraic methods rather than calculus.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with free-body diagrams
  • Basic algebra skills for solving equations
  • Knowledge of tension forces in cords
NEXT STEPS
  • Study static equilibrium conditions in detail
  • Practice drawing and analyzing free-body diagrams
  • Learn how to calculate tension forces in systems of pulleys
  • Explore algebraic methods for solving force equations
USEFUL FOR

Students in physics or engineering courses, educators teaching mechanics, and anyone interested in understanding force analysis without calculus.

quantum_enhan
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Homework Statement


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The Attempt at a Solution


I'm not entirely sure how to go about this question, and what to do with the maximum force that each cord can withstand. I tried setting up an equation, then taking a derivative to solve it for the maximum, but I bet there is an easier way, since the derivative got quite messy... Suggestions?
 
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Nothing moves, so what do you know about the net force acting on each ring at A, B and C?

p.s. By the way, calculus is not needed here.
 

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