Understanding Tension and Acceleration: A Helpful Explanation

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tdreceiver17
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My question is how do you find the acceleration if you don't know the Tension. If someone could just elaborate on the question as a whole it would be very helpful.


I didn't really know anything about how to do this problem.
 
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Start with this notion and see where it gets you: Tension on both sides will be the same, since this pulley is massless/frictionless. Also, in order for the the blocks to move down the 4kg mass side, T must be less than the the weight of the 4kg mass. Make sense?