Center of mass of a uniform wire

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Homework Help Overview

The discussion revolves around determining the center of mass of a uniform wire that is bent at an angle. Participants express confusion regarding the orientation and arrangement of the wire pieces, particularly how they relate to the center of mass being stated as below point A.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the setup and orientation of the wire pieces, specifically the implications of the angle between them and the position of the center of mass. Some suggest simplifying the problem by neglecting one piece of the wire initially, while others propose treating the pieces separately to find their individual centers of mass.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem. Some have offered hints about treating the wire segments separately and considering their centers of mass, while others have clarified their initial misconceptions about the dimensionality of the problem.

Contextual Notes

Participants are grappling with the interpretation of the problem's setup, including the angle between the wire segments and the implications for the center of mass. There is a noted shift in understanding regarding the dimensionality of the problem, with some initially misinterpreting it as three-dimensional.

Jahnavi
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Homework Statement



wire.png

Homework Equations

The Attempt at a Solution



I am having trouble understanding the setup as well as how to approach this problem .

I am not understanding the orientation of the two pieces of the wire .

They make angle 60° with each other , but then what does it mean when the question states that the center of mass lies below A ?

How are the two pieces of wires arranged ?
 

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I suppose that is a two-dimensional problem. Neglect the wire BC in the first place. Where, by means of a horizontal axis and the length AB, the center of mass of the inclined wire AB would be located?
 
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Jahnavi said:
I am not understanding the orientation of the two pieces of the wire .
Looks to me like a wire that's just bent at point B at the given angle.

Jahnavi said:
They make angle 60° with each other , but then what does it mean when the question states that the center of mass lies below A ?
Consider the horizontal component of the center of mass. Express that mathematically and you can solve for the quantity asked for.
 
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Hint: Treat pieces BC and BA separately. Where are their centers of mass? Then find the center of mass of the combination.
 
stockzahn said:
I suppose that is a two-dimensional problem.
Doc Al said:
Looks to me like a wire that's just bent at point B at the given angle.

Sorry ! I was wrongly interpreting this as a 3 -dimensional problem . I was considering the center of mass to be below the plane formed by the two pieces of wires .

Thanks for the clarification . I think I should now be able to solve the problem .
 

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