Why is the center of mass assumed to be on the vertical in an arc?

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Homework Help Overview

The discussion revolves around the assumption of the center of mass being vertically aligned in the context of an arc, particularly in a physics problem involving a suspended wire. Participants are exploring the implications of this assumption and its relevance to the problem at hand.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the reasoning behind the assumption that the center of mass is directly below the suspension point. There is a focus on the consequences of this assumption and its impact on the problem's setup.

Discussion Status

The discussion includes attempts to clarify the reasoning behind the assumption of the center of mass's position. Some participants express understanding, while others continue to engage with the implications of this assumption.

Contextual Notes

There is a mention of the wire being freely suspended, which may influence the discussion about the center of mass's position. The original poster indicates a specific relationship involving the radius and the vertical distance, suggesting a mathematical consideration tied to the assumption being questioned.

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The Attempt at a Solution


i have the solution , but in it , he assumes the center of mass is on the vertical and thus the distance of the vertical from the center is rsin(1/4∏)/(1/4∏) where r is the radius , so why did he take this assumption?
 

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he assumes the center of mass is on the vertical ... so why did he take this assumption?
The wire is freely suspended from point A.
If the com was not vertically below point A, then what would happen?
 
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Thanks, i got it
 
Well done :)
 

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