Solve Atwood System Equilibrium: Find Tension in lbs

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The discussion focuses on solving for the tension in an Atwood system in equilibrium, where all pulleys are massless and frictionless. The key equation to use is F=ma, which indicates that the net force must equal zero. Participants emphasize the importance of drawing free body diagrams for the masses involved, specifically the 93 slug body and the moving pulleys, to analyze the forces and tensions. The presence of three ropes introduces three different tensions that need to be considered, with the forces at each pulley needing to cancel out. Understanding these principles is crucial for deriving the correct equations to find the tension in pounds.
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Homework Statement



The system is in equilibrium and all pulleys
are massless and frictionless.

Find the tension T. The acceleration of
gravity is 32 ft/s2. Note : lb = slug · ft/s2.

Answer in units of lb.

Physics4.jpg


Homework Equations


F=ma=0


The Attempt at a Solution


So, I'm totally lost an really in need of a good point in the right direction. How do I even begin to figure this out? I only have two numbers. The net force on this object must be equal to 0 as well. But, how do I derive an equation? Any help is greatly appreciated.
 
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Write on the free body diagrams for the 93 slug body and for both moving pulleys. You have three ropes, with three different tensions. The pulleys are massless so the forces acting at each pulley must cancel.

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