What's Wrong with My Force Analysis in These FBDs?

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    String Tension
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Homework Help Overview

The discussion revolves around analyzing free body diagrams (FBDs) related to tension forces in a system of blocks. The original poster attempts to determine the correct relationships between the tensions in the strings and the weights of the blocks involved.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the assumptions made about the forces acting on the middle block, specifically whether the weight of the block was considered in the FBDs. There is also discussion about the implications of treating the tension in string B differently if it were a rigid rod.

Discussion Status

Participants are actively engaging in clarifying the forces involved and questioning the original poster's reasoning. Some guidance has been offered regarding the inclusion of the weight of the blocks in the FBDs, and there is an exploration of how different interpretations of the setup might affect the analysis.

Contextual Notes

There seems to be a focus on ensuring all forces are accounted for in the FBDs, with specific attention to the weights of the blocks and the nature of the connections (strings vs. rigid rods). The original poster's initial assumptions are being scrutinized for accuracy.

minimario
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Homework Statement


bKy7FZm.png


Homework Equations


F=ma

The Attempt at a Solution


A FBD on the bottom block gives tension in C is equal to Mg. Then, a FBD on the middle block should give T_b-T_c=0, so tension on B should also be equal to Mg. Finally, a FBD on the top block gives the tension on A is equal to Mg.

But this is not correct, what did I do wrong?
 
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minimario said:
... so tension on B should also be equal to Mg.
Really? You might want to rethink that.
 
What are the forces acting on the middle block? Are they not only tension in B and tension in C?
 
Draw a free body diagram of the middle block. Show the forces acting on that block. What are they?

Chet
 
For your 2nd FBD, on the middle block, you forgot to include the Weight of that block. Same for the FBD on the top block.
 
minimario said:
What are the forces acting on the middle block? Are they not only tension in B and tension in C?
Yes, but how does that relate to the answer to the you are looking for. Are you looking for the forces on a single block or the tension on the various strings? Suppose B was a rigid rod instead of a string. What would that do to your perception of the tension in string A ?
 
Ok, thanks. I got it now. The FBD on B should be T_b=T_c+Mg
 
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