Uniform circular disk of radius

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Homework Help Overview

The discussion revolves around determining the center of mass of a uniform circular disk with a specified radius, R. The original poster seeks to prove that this center of mass is located at a distance of (4/3π)R from the center of the circle, which raises questions about the formulation of the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the definition of the center of mass for a uniform disk, with some questioning the validity of the given distance of (4/3π)R. There are mentions of integrating to find coordinates and transforming the coordinate system, as well as concerns about the problem's formulation.

Discussion Status

The discussion is ongoing, with participants expressing confusion and skepticism about the problem's requirements. Some are attempting to clarify the assumptions, while others are exploring different interpretations of the problem's setup.

Contextual Notes

Participants note that the problem lacks sufficient information regarding the location of the circle and express uncertainty about the implications of the stated distance for the center of mass.

johnnyb
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Any help would be great

Show that the centre of the mass of a uniform circular disk of radius, R, is at a point (4/3pi)R from the centre of the circle.
 
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The center of mass of a uniform disk is the center.
 
Yeh that's what I'm having a problem with, seems like a stupid question, but still have to prove that it is (4/3pi)R
 
johnnyb said:
Any help would be great

Show that the centre of the mass of a uniform circular disk of radius, R, is at a point (4/3pi)R from the centre of the circle.
Where is the circle located?
 
Thats all the information that is given

Show that the centre of the mass of a uniform circular disk of radius, R, is at a point (4/3pi)R from the centre of the circle

Altho below it does say...

X co-ord is obvious..to find y co-ord integrate using

Mr = [tex]\int[/tex]rdm

and transform y into an appropriate co-ord system
 
any ideas?
 
that doesn't make sense. i don't know what to tell you.
 
Don't worry bout it, i'll keep trying
 
In the way it's formulated,the problem's incorrect.It would have made it interesting,if it had mentioned about a half of the initial disk.

Daniel.
 
  • #10
This is nonsense.

The centre of mass of a circular disc with radius 1 unit is going to be 4.19 units from the centre of the disc?


I'd like to see that!
(I could make an end table for my desk that floats in mid-air!)
 

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