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.

 

[thomate1]

The Atwood Machine is a simple machine that consists of two masses connected by a string over a pulley. It is often used in physics to demonstrate the principles of conservation of energy and conservation of momentum. In this case, the conservation of string refers to the fact that the length of the string connecting the two masses remains constant throughout the motion of the system. This is because the string is assumed to be massless and inextensible, meaning it cannot stretch or compress. This allows us to analyze the motion of the masses as if they were connected by a rigid rod, simplifying the calculations.

To learn more about the concept of conservation of string and how it applies to the Atwood Machine, I recommend reviewing your textbook or class notes on Newton's Laws of Motion and the principles of energy and momentum conservation. Additionally, there are many online resources and videos available that can provide a visual representation and further explanation of this concept. It is important to have a solid understanding of this principle in order to accurately analyze and solve problems involving complex Atwood Machines. Good luck on your exam!