Getting the tension(Static equilibirum)

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SUMMARY

The discussion focuses on solving a static equilibrium problem involving a knotted cord system with a hanging mass of 850g (8.34N) and a tension of 42N in cord B, which is angled at 25 degrees from the X-axis. The user attempts to apply the Law of Sines and the Law of Cosines to find the angle of force exerted at cord C, ultimately calculating the length of cord C as 34.544. However, the user encounters difficulties when substituting this value to find sinA, indicating a need for a more systematic approach to resolving forces in each component.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with the Law of Sines and Law of Cosines
  • Basic knowledge of vector components in physics
  • Ability to perform trigonometric calculations
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  • Review static equilibrium problems in physics textbooks
  • Practice using the Law of Sines and Law of Cosines with different scenarios
  • Learn how to resolve forces into their components effectively
  • Explore examples of tension in cord systems in physics resources
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Students studying physics, particularly those focusing on mechanics and static equilibrium, as well as educators looking for examples of tension problems in cord systems.

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Homework Statement



A system cord is knotted at point 0. Determine the angle of the force exerted at cord c If the mass of the hanging block is A=850g(8.34N) the tension in B=42N (the angle of Cord B is 25 degrees from the X-axis)

The Image: http://tinypic.com/m/5ani0y/3

Homework Equations



a/sinA = b/sinB = c/sinC

The Attempt at a Solution



8.43/sinA = 42/sinB = c/sin65

so to get the value of c I need to use the cosine law w/c gives me the answer of c=34.544

If i substitute this value in getting the value of sinA it will be sinA=(34.544)(8.34)/Sin65 w/c gives me a wrong answer.

Help please
 
Last edited:
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How about starting off with the sum of the forces for each component?
 

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