Giving a pulley with mass an essential mass

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The discussion revolves around understanding the dynamics of a pulley system that includes mass, specifically comparing it to a simpler setup with a massless pulley. The original poster seeks clarification on how to analyze the forces and motions involved in both systems. Participants are encouraged to ask questions to clarify the setups and the relationships between the masses. There is some confusion regarding whether the request for questions is directed at the participants or if they should provide their own inquiries. The conversation emphasizes the need for a clear understanding of the mechanics involved in these pulley systems.
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The set-up of the type of problem I'm trying to work with is a pulley (that has a mass) with a rope going over it that has a mass attached at each end. In class my teacher showed a way to relate this set-up with a a similar set-up where there is a mass on a flat frictionless platform attached by a rope on each side that goes over a massless pulley on its respective side and is attached to a mass. If you can understand what I just said how do I do this?

please ask questions to better understand the set-ups of the two systems.
 
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please ask questions to better understand the set-ups of the two systems
Are you asking US to ask YOU questions ?
 

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