How do you calculate tension forces using trigonometry?

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SUMMARY

The discussion focuses on calculating tension forces A, B, and C in a system involving a suspended mass of 120 kg and angles of 60° and 25°. The gravitational force acting on the mass is calculated as 1177.2 N. Participants emphasize the importance of using trigonometric relationships to resolve the forces, particularly noting that the sum of the vertical components must equal the weight of the mass for equilibrium. The calculated tensions provided by one participant are A = 1359.31 N and B = 2785.49 N, which require verification.

PREREQUISITES
  • Understanding of basic trigonometry, specifically sine and cosine functions.
  • Knowledge of static equilibrium principles in physics.
  • Familiarity with free body diagrams to visualize forces.
  • Ability to perform calculations involving gravitational force (F = m * g).
NEXT STEPS
  • Study the concept of static equilibrium in physics.
  • Learn how to draw and analyze free body diagrams.
  • Explore trigonometric identities and their applications in force resolution.
  • Practice calculating tension forces in various pulley systems using different angles.
USEFUL FOR

This discussion is beneficial for physics students, engineers, and anyone involved in mechanics or structural analysis who needs to calculate tension forces in static systems.

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Homework Statement


angle 1 is 60
angle 2 is 25
and the suspended mass is 120kg

CALCULATE THE TENSIONS FORCES A, B, AND C
[PLAIN]http://img52.imageshack.us/img52/1412/unledfm.jpg

Homework Equations


The Attempt at a Solution


I understand you have to use some triangles and some trigonometry. But I am not sure how.

here is my attempt

120 X 9.81 = 1177.2 = c?

so a + b = C?

and a = half of c and b = half of c?

and then a = sin60 = half of c divided by a ?

I have no idea. please help
 
Last edited by a moderator:
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Start thinking of the conjunction point of ABC.
In which directions it could basically move ?
If it doesn't move, it's because there's a balance...
 
yea, there is a balance. but I never said it would move or anything like that.

I've gotten answers of a = 1359.31
b=2785.49

can anyone check of that's right?
 

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