Mass needed for static equilibrium compound pulley system

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SUMMARY

The discussion focuses on determining the mass m1 required for a static equilibrium in a compound pulley system with m2 set at 60 kg. Participants emphasize the importance of analyzing free body diagrams and understanding tension forces in the system. The relationship between the movements of the masses is crucial; if one mass moves, the other will move in a predictable manner, allowing for the calculation of the necessary tension to maintain balance. The key takeaway is that in static conditions, the lengths of the rope segments remain constant.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of free body diagrams
  • Familiarity with tension forces in pulley systems
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of static equilibrium in mechanical systems
  • Learn how to draw and analyze free body diagrams
  • Explore the calculations involved in tension forces in pulley systems
  • Investigate the effects of mass changes on pulley systems
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Students studying physics, particularly those focusing on mechanics and static equilibrium, as well as educators looking for teaching resources on pulley systems.

hus8765
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Homework Statement


For what m1 will the illustrated pulley system be in static equilibrium if m2 = 60 kg?

Homework Equations

The Attempt at a Solution


im supposed to use the change in lengths but don't know how to do it
 

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If it is static (no motion) then the lengths will not be changing. Look to free body diagrams and tensions instead.
 
gneill said:
If it is static (no motion) then the lengths will not be changing. Look to free body diagrams and tensions instead.
thanks a lot
 
Hello hus, welcome to PF :smile:

The change in length thingy is a good hint, though. But perhaps a little differently: If one of the two moves a little, does the other move just as much, half as much, or twice as much ? From that you can deduce the proper tension force to keep balance. And balance means no change of lengths allright.
 

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