How Do You Calculate Tension and Acceleration in a Constrained Pulley System?

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Homework Help Overview

The discussion revolves around calculating tension and acceleration in a constrained pulley system involving masses and massless pulleys. Participants are exploring the relationships between forces acting on the masses and the resulting tension in the strings.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to derive the tension and acceleration using the equation T - mg = ma. Some express confusion over their calculations, particularly regarding an outcome of T = 0. Others question the assumptions made about acceleration and encourage sharing of work to clarify misunderstandings.

Discussion Status

The discussion is ongoing, with participants seeking clarification on their reasoning and calculations. There is an emphasis on the need for showing work and considering free body diagrams to better understand the forces at play.

Contextual Notes

Participants are encouraged to share their working steps, as there seems to be a lack of detailed attempts posted. The problem context includes assumptions about acceleration that may need to be revisited.

AbhinavJ
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Homework Statement


A,B,C are of mass one kg each, while D,E are massless pulleys.
https://docs.google.com/file/d/0B0FIIKckKOcKN2JxcS1DYldaX0U/edit?usp=docslist_api
We need to find Tension in string, acceleration of A,B,C

Homework Equations



T-mg=ma

The Attempt at a Solution


I tried getting tension and got T=2T, which gives T=0, which is not the answer. Thanks in advance
 
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AbhinavJ said:

Homework Statement


A,B,C are of mass one kg each, while D,E are massless pulleys.
https://docs.google.com/file/d/0B0FIIKckKOcKN2JxcS1DYldaX0U/edit?usp=docslist_api
We need to find Tension in string, acceleration of A,B,C

Homework Equations



T-mg=ma

The Attempt at a Solution


I tried getting tension and got T=2T, which gives T=0, which is not the answer. Thanks in advance
Sounds to me as though you assumed no acceleration.
Can't tell where you are wrong if you don't post your working.
 
haruspex said:
Sounds to me as though you assumed no acceleration.
Can't tell where you are wrong if you don't post your working.
I actually couldn't get anything, any hint on which I can work on?
 
AbhinavJ said:
I actually couldn't get anything, any hint on which I can work on?
You wrote that you did some work and got T=2T. Please post that work. You must show some attempt, even if it is just some thoughts.
Have you drawn a free body diagram for each pulley? Each of those should give you an equation, though some may be uninteresting because they involve unknown forces from outside the system.
 

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