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

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The relationship between total mass and acceleration in an Atwood's machine indicates that as total mass increases, acceleration decreases. The user struggles to interpret their lab graph due to a poor regression value, making it challenging to determine the nature of the relationship. They seek clarification on how to explain this inverse relationship and what type of graph would best represent the data. The discussion highlights the need for more information to accurately analyze the results. Understanding this relationship is crucial for solving problems related to Atwood's machines in physics.
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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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