Mass needed for static equilibrium compound pulley system

AI Thread Summary
To determine the mass m1 for static equilibrium in a compound pulley system with m2 set at 60 kg, it is essential to analyze the system using free body diagrams and tension forces. The discussion emphasizes that if the system is static, the lengths of the strings will remain constant, indicating no motion. Participants suggest considering how movement of one mass affects the other to establish the correct tension for balance. Understanding the relationship between the masses and their movements is crucial for solving the problem. The focus remains on applying these principles to achieve static equilibrium in the pulley system.
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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