Center of gravity - conflicting result

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Homework Help Overview

The discussion revolves around calculating the center of mass for a wire frame shaped like a half-circle and two straight lines. Participants are comparing their results with a solution manual, noting discrepancies in their calculations of the center of mass coordinates.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are exploring different methods for calculating the center of mass, questioning the definitions and assumptions regarding the shapes involved, particularly the treatment of areas versus lengths in the context of a wire frame.

Discussion Status

Some participants have identified potential misunderstandings regarding the nature of the shapes involved and the choice of axes for calculations. There is ongoing exploration of how these choices impact the results, with various interpretations being discussed.

Contextual Notes

Participants are working under the constraints of a specific problem statement and are attempting to reconcile their calculations with those presented in a solution manual, which may have different assumptions regarding the coordinate system used.

  • #31
Definitely, definitely, definitely the most annoying exercise to date.

Thanks for leading me through that. Give me a moment :)
 
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  • #32
You took the half circle offset from the left side of the circle, instead of from the center of the circle.
That would be correct in your original choice of the coordinates (with the center of the circle as the origin), but with the origin at the leftmost point of the object, you need to compensate. ;)
__________________

So my length for the half circle wire is 20 minus 2x20/pi? I recall trying that but still not getting the right result
 
  • #33
Femme_physics said:
So my length for the half circle wire is 20 minus 2x20/pi? I recall trying that but still not getting the right result

Try again? :smile:
 
  • #34
It's like magic! :)

Thanks, ILS the great! :)
 
  • #35
Femme_physics said:
It's like magic! :)

Thanks, ILS the great! :)

Aww, so this is not a neverending story?

Pity! :smile:
 

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