Solve Atwood System Equilibrium: Find Tension in lbs

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SUMMARY

The discussion focuses on solving the Atwood system equilibrium problem to find the tension (T) in pounds. The system consists of massless, frictionless pulleys and requires the application of Newton's second law, F=ma, where the net force equals zero. The acceleration due to gravity is given as 32 ft/s², and the mass of the object is specified as 93 slugs. The solution involves analyzing free body diagrams for the 93 slug body and the two moving pulleys, considering the forces acting on each pulley to ensure they cancel out.

PREREQUISITES
  • Understanding of Newton's laws of motion, specifically F=ma.
  • Knowledge of free body diagram construction for analyzing forces.
  • Familiarity with the concept of tension in ropes and pulleys.
  • Basic grasp of units of force, specifically pounds (lb) and slugs.
NEXT STEPS
  • Study the principles of static equilibrium in mechanical systems.
  • Learn how to draw and analyze free body diagrams for complex systems.
  • Explore the effects of massless pulleys on tension distribution in a system.
  • Review the conversion between slugs and pounds for force calculations.
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone involved in solving problems related to forces and tensions in pulley systems.

wmrunner24
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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.

ehild
 

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