Relating a massive pulley system to an equivalent massless pulley setup

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BLam417
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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 ?