I have a question about a pulley and tension-related problem

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The discussion centers on a physics problem involving three blocks connected by cords over frictionless pulleys, with specific masses assigned to each block. The user is confused about the correct tension equations for block B, particularly why T2 - T1 = M2A is the appropriate formulation when block B moves to the right. Clarifications are provided regarding the direction of acceleration and the relationship between the tensions in the cords. The user successfully calculated the acceleration but seeks further understanding of the tension dynamics. Overall, the conversation emphasizes the importance of consistent notation and understanding the forces at play in pulley systems.
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Homework Statement


The figure shows three blocks attached by cords that loop over frictionless pulleys. Block B lies on a frictionless table; the masses are mA = 4.80 kg, mB = 7.10 kg, and mC = 13.0 kg. When the blocks are released, what is the tension in the cord at the right?

Figure A is on the left, figure C on the right, C being the largest mass.

Homework Equations


For part A I got T-m1g=ma, (Because the tension will be more used when it gets pulled up)
For Part B, This is where i am confused, I originally used T1-T2=M2A, because I thought that since the Box B will move to the right, then its tension would be less because Box C is pulling more with M3g, but I checked the answer and it said T2-T1=M2A, but why is that the right answer
For Part C I got, M3g-T=m3a (since gravity will do most of the work

The Attempt at a Solution


I got the answer of -7.22 on my first attempt and 3.22 for the acceleration on the second, which 3.22 is the correct answer. Help! I am just confused in part B! [/B]
 
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Your picture doesn't seem to have uploaded and I think it is needed to understand the problem. Perhaps you can try again.
 
I think I can guess the diagram. Mass 1 hangs from a pulley on the left. The cord passes up over the pulley and extends horizontally to the right to mass 2. The second cord continues from mass 2 horizontally to the right, over a second pulley and straight down to mass 3.
Your working would be easier to follow if you were to use suffixes consistently.

You correctly presumed mass 1 would rise and mass 3 would fall, and got the right equations for those.
And, as you say, mass 2 will move to the right. But I cannot understand your explanation for why you chose T1-T2 there.
If the acceleration is to the right, which tension must be greater?
 
I see to understand now! thanks sorry for not posting a picture!
 
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