Uniform circular disk of radius

AI Thread Summary
The discussion revolves around proving that the center of mass of a uniform circular disk of radius R is located at (4/3π)R from the center. Participants express confusion over this assertion, noting that the center of mass for a uniform disk is typically at its center. Questions arise regarding the formulation of the problem, with some suggesting it may be incorrectly stated. There is skepticism about the validity of the (4/3π)R measurement, with one participant humorously questioning the feasibility of such a result. Overall, the thread highlights a mix of confusion and disbelief regarding the center of mass calculation for the disk.
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 = \intrdm

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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