What is the Maximum Force P Applied at C Given Cable Tension Limits?

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SUMMARY

The maximum force P that can be applied at point C, given the tension limits of the cables, is determined by analyzing the forces in a force triangle. Each cable can withstand a maximum tension of 800N. To solve for force P, it is essential to utilize the sine law effectively, although resolving forces into their vertical and horizontal components is also a viable approach. The discussion emphasizes the importance of understanding the geometry of the force triangle to find the unknown angles and sides.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with the sine law in trigonometry
  • Ability to draw and interpret free body diagrams (FBD)
  • Knowledge of vector resolution into components
NEXT STEPS
  • Learn how to apply the sine law in force triangle problems
  • Study the principles of static equilibrium in two-dimensional systems
  • Explore vector resolution techniques for forces
  • Practice drawing and analyzing free body diagrams for complex systems
USEFUL FOR

Students studying mechanics, engineers involved in structural analysis, and anyone needing to solve problems related to cable tension and force applications.

Dfresh
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Homework Statement


Two cables are tied together at C as shown below. Knowing that the maximum tension in each cable is 800N, determine:
a) the force in P that can be applied on C
b) The corresponding value of a
Link to diagram
http://www.chegg.com/homework-help/two-cables-tied-together-c-loaded-shown-knowing-maximum-allo-chapter-2-problem-61p-solution-9780077414214-exc

Homework Equations


sine law

The Attempt at a Solution


So basically I drew a FBD, and realized that you can have a max of 800N in each rope. However, what I'm stuck on is trying to rearrange the diagram so I can solve it using the sine law. It seems I'm always having two unknown angles and one unknown side.I need some help with trying to decipher the force triangle.
 
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Who says you have to use the sine law?

Chet
 
Dfresh said:
what I'm stuck on is trying to rearrange the diagram so I can solve it using the sine law. It seems I'm always having two unknown angles and one unknown side.I need some help with trying to decipher the force triangle.
You could first resolve all forces into their vertical and horizontal components ...
 

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