F=ma experiment: Trolley being pulled by a falling weight

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Homework Statement
Hope I’m posting this in the right area!
Relevant Equations
Experiment involves connecting a trolley to a perpendicular weight via pulley string
The weight accelerating/pulling the trolley is changed and corresponding acceleration recorded. What I don’t understand is why the weight added/removed to the hanging weight is removed/added to the trolley
 
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What is the equation for the acceleration of the system? Write it down and see what happens when you keep the sum of the masses fixed in a plot of acceleration vs. hanging mass.
 
kuruman said:
What is the equation for the acceleration of the system? Write it down and see what happens when you keep the sum of the masses fixed in a plot of acceleration vs. hanging mass.
Thank you. I neglected the tension on the hanging weight in it’s free body diagram