How to find tension at midpoint of the string?
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simply make a free body diagram of the bottom part of the problem - midpoint of the rope and the block. Yes, assume that the mass of the rope, if cut at the midpoint, is 2kg. Since you already solved for acceleration of the system, the rope and block are accelerating at this same rate. So, you know the masses of the two components, the acceleration of them, and know g=9.81m/s2. There are three forces to sum up, with T obviously one of them. Plug your knowns into Newton's second law.
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