First condition of equilibrium problem help

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SUMMARY

The discussion focuses on solving a static equilibrium problem involving a horizontal cable with a tension of 100 N. Participants emphasize the importance of using the component method to analyze forces acting on the cable. To determine the weights w1 and w2, a free body diagram must be drawn, and force balance equations should be applied in both the x and y directions. The problem requires understanding of static equilibrium principles and trigonometric relationships related to angles.

PREREQUISITES
  • Static equilibrium concepts
  • Force balance equations in two dimensions
  • Trigonometric functions for angle calculations
  • Free body diagram construction
NEXT STEPS
  • Study the component method for analyzing forces in static systems
  • Learn how to construct and interpret free body diagrams
  • Explore the principles of static equilibrium in physics
  • Review trigonometric relationships in the context of force analysis
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Students in physics or engineering courses, particularly those studying mechanics and static equilibrium problems.

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Anyone know how to solve this one?

Homework Statement


Determine weights w1 and w2 that cause the tension T in the horizontal cable to be 100 N.

Here's the diagram:
http://tinypic.com/m/f56cyb/2

Homework Equations


All I know is the component method but. . .I'm not sure how to apply it here.

The Attempt at a Solution


I really have no idea where to start, so please help!
 
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Since the whole cable setup is not in motion nor is it in impending motion, what must the tension in the cable that makes the 30 degree angle be?

Once you decide on that, draw a free body diagram of the cable joint and perform the usual force balance in the x and y directions.
 

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