Calculate Tension of Two Wires: Physics/Precalc

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SUMMARY

The discussion revolves around calculating the tensions in two wires supporting a 1200 lbs weight at angles A = 35 degrees and B = 30 degrees. The user struggles with the equations, specifically using x = (-ycos35/cos150) and x = (-ycos35/cos180), leading to confusion regarding vector analysis and the application of the angle theorem. The consensus indicates that while the Pythagorean theorem is often applicable, the complexities of tension require a more nuanced understanding of vector components and equilibrium conditions.

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  • Understanding of vector components in physics
  • Knowledge of trigonometric functions and their applications
  • Familiarity with the Pythagorean theorem
  • Basic principles of equilibrium in static systems
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  • Learn about static equilibrium and force diagrams
  • Explore the application of trigonometric identities in tension calculations
  • Review examples of tension problems involving multiple angles and weights
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High school physics students, educators teaching precalculus concepts, and anyone interested in understanding the principles of tension in static systems.

Planetx
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I am tasked to find the tensions of two wires by calculating the "magnitude of the vector" in a high school physics/precalc class. I have tried working out the equation in several ways but they all end up in an unsolvable format. So, in reference to the picture, A = 35 degrees, B= 30 degrees and sides a and b symbolize the magnitude or tension on two vectors when holding a 1200 lbs weight from a level position. I am given no other information.
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I have found that x = (-ycos35/cos150) no? And I tried substituting it into a few equations I worked out. I feel I am in the WAY wrong direction here and common sense is failing me.
 
Planetx said:
I have found that x = (-ycos35/cos180) no? And I tried substituting it into a few equations I worked out. I feel I am in the WAY wrong direction here and common sense is failing me.
I realize this is a simple problem but my application of angle theorem and vector analysis is limited so far.
 
Some people told me pythagorean theorem is that simple but i figured tension would be different from magnitude
 

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