Why are the coordinate axis different for block M1 and M2 in this scenario?

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Homework Help Overview

The discussion revolves around the coordinate systems used for two blocks, M1 and M2, in a physics problem involving their motion and connection through a string. Participants are exploring the implications of using different coordinate axes for each block and the reasoning behind it.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the validity of using different coordinate axes for two separate blocks, particularly when they are connected. There is an exploration of whether the same axis must be used for both blocks when they are in contact versus when they are not.

Discussion Status

The discussion is ongoing, with some participants seeking clarification on the context of the blocks and their connection. There is an acknowledgment of the coupling of their motions, but no consensus has been reached regarding the appropriateness of the coordinate systems used.

Contextual Notes

There is a mention of a visual aid that may provide additional context, but it has not been fully integrated into the discussion. The lack of initial context regarding the blocks and their setup has led to some confusion among participants.

Miike012
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I am confused how they picked the direction right of block M1 to be -x and the downward direction of block M2 to be +x..?

I didn't know that one could create two different coordinate axis.

Correct me if I am wrong but it seems that if you are working with two diff body's that are not in contact you can create diff axis for both body's.. but if two body's are in contact then you have to use the same axis for both body's?
 
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What's block M1? What's block M2? What are they up to? Who are "they"? Without context, your statements are vague and your questions unanswerable.
 
sorry forgot to add the picture... here it is..
 

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Okay. In this situation there are two separate objects being considered. They are connected by a string (or rope, or cable, or however it's defined). Because they are so connected, their motions are coupled. That is, any change of displacement of one is going to be identical to the displacement of the other, in magnitude if not direction. This being so, it would make sense to choose the same variable name for both displacements (they will have equal values at all times). x is the value of the horizontal displacement of block M1, and it's also the vertical displacement of block M2. Does that work for you?
 

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