2 Dimensional Tension Force Homework Help

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SUMMARY

The discussion focuses on calculating the weight of a sign suspended by two strings, each exerting a tension force of 25 Newtons at an angle of 40 degrees. The participant correctly identifies that the system is in equilibrium, leading to equal and opposite tension forces. The initial calculation using sine functions yielded 16.1 Newtons for each side, but further steps to determine the total weight of the sign were not completed. The equilibrium of vertical forces must be analyzed to finalize the solution.

PREREQUISITES
  • Understanding of tension forces in physics
  • Knowledge of trigonometric functions, specifically sine
  • Familiarity with free body diagrams
  • Concept of equilibrium in static systems
NEXT STEPS
  • Calculate the total weight of the sign using vertical force equilibrium
  • Review the application of sine and cosine in tension force calculations
  • Explore examples of free body diagrams in static equilibrium problems
  • Study the principles of vector resolution in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and static equilibrium, as well as educators seeking to enhance their teaching of tension forces and free body diagrams.

amberacd123
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Homework Statement


A sign is suspended from two strings as shown. Determine the wheight of the sign.
Left string: Fτ=25 Newtons; ∅=40 degrees
Right String:Fτ=25 Newtons; ∅=40 degrees

Homework Equations


i no that the mass is at equilibrium, so the tension forces are equal and opposite.


The Attempt at a Solution


I first used sin to help me and I got 16.1 Newtons on both sides, but I don't know where to go from there.
 
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amberacd123 said:
I first used sin to help me and I got 16.1 Newtons on both sides, but I don't know where to go from there.
In the free body diagram of the sign, what do you get for the balance of vertical forces?
 

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