How Does Total Mass Affect Acceleration in an Atwood's Machine?

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SUMMARY

The discussion centers on the relationship between total mass and acceleration in an Atwood's machine. It is established that as the total mass increases, the acceleration decreases. The participant notes a poor regression value for the best-fit line from their lab graph, indicating difficulty in deriving a clear relationship. The need for a proper understanding of the graph's shape—whether linear or parabolic—is emphasized, highlighting the complexity of the relationship.

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  • Understanding of Newton's Second Law of Motion
  • Familiarity with Atwood's machine mechanics
  • Basic knowledge of graphing and regression analysis
  • Experience with interpreting experimental data
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  • Explore the mechanics of Atwood's machines and their applications
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Physics students, educators, and anyone interested in understanding the dynamics of Atwood's machines and the principles of motion and acceleration.

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Homework Statement


What is the relationship between the total mass and the acceleration of an Atwood’s machine?

The Attempt at a Solution


I have a graph from the lab, but the regression value for the best fit line is very poor, so it is difficult to tell much from the values. I can see that as the total mass increases the acceleration goes down, but I don't know how to explain this. I don't even know what sort of graph the best-fit line would have (straight or parabola). I would appreciate any help.
 
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