Solving 3D Equilibrium: Finding FBA & Alpha

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Homework Help Overview

The discussion revolves around a statics problem involving a weight supported by three strings and a spring, where the original poster is trying to solve for the force FBA in terms of an angle alpha. The problem includes a specific equation that relates these variables.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to manipulate an equation involving FBA and an angle, expressing concern over the algebraic complexity. Some participants question the clarity of the problem statement and suggest providing a visual representation. Others note the difficulty in solving the equation algebraically and mention the potential need for numerical methods.

Discussion Status

The discussion is ongoing, with participants exploring the algebraic manipulation of the equation and the feasibility of finding a solution. There is no explicit consensus on the approach, but guidance regarding the use of numerical solutions has been mentioned.

Contextual Notes

Participants note that the original problem statement may lack sufficient detail for accurate interpretation, and there is an emphasis on the need for additional information or visual aids to clarify the setup.

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Homework Statement


I am having difficulty with the algebra for a particular statics problem. A weight is hanging down and three strings and a spring support it in equilibrium. FBA is the force acting along the BA vector. I must solved for alpha in terms of FBA. There is also a spring force acting on the weight
how do i solve for FBA?
FBAcos(10/FBA)=10(((10-5cos(10/FBA))-5)



Homework Equations





The Attempt at a Solution

 
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I'm afraid there's not nearly enough in your post for me to even draw this out accurately. Would it be possible for you to scan the problem statement and attach the image to your next post?
 
I don't need help setting up or understanding how to solve the original problem. I just cannot figure out how to solve this equation FBAcos(10/FBA)=10(((10-5cos(10/FBA))-5)
 
That reduces slightly (x+ 10)cos(10/x)= 50, with x= FBA but there is no "algebraic" way to solve that equation for FBA. You will need to use some kind of numerical solution.
 

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