Atwood Machine(Conservation of String)

[mikee]

Homework Statement

Hello i am just studying for an exam coming up and, i am looking at complex atwood machines, I am not really familiar(or understand fully) the conservation of string, if anyone knows a place where i can learn a little bit more about it that would be apreciated, thank you

Homework Equations

The Attempt at a Solution

 

[arildno]

The string(s) must have conserved length at all times.
This provides constraints upon the accelerations of various parts.