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

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Homework Help Overview

The problem involves three blocks connected by cords over frictionless pulleys, with specific masses given. The original poster is trying to determine the tension in the cord when the blocks are released, particularly focusing on the dynamics of the system and the forces acting on each block.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply Newton's second law to analyze the forces on each block but expresses confusion regarding the correct formulation of the equations, particularly for the tension in the cord related to Block B. Some participants question the reasoning behind the choice of tension equations and suggest clarifying the relationships between the blocks' movements and the tensions.

Discussion Status

Participants are actively engaging with the original poster's attempts, providing feedback and seeking clarification on the setup and reasoning. There is a recognition of the need for a visual aid to better understand the problem, and some participants are attempting to reconstruct the scenario based on the description provided.

Contextual Notes

The original poster's confusion seems to stem from the interpretation of the forces acting on Block B and the relationships between the tensions in the cords. The lack of a visual representation of the problem may be contributing to the difficulty in understanding the dynamics involved.

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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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