What is the center of gravity of the perimeter of a triangle (as when a piece of wire is bent into triangular form)?

(In reply to re: Centroid invariance in the face of increasing triangle size by Charlie)

Charlie wrote:

Since this frame, with differing thicknesses on the different sides, has the same CG as the overall triangle, if the thickest sides were shaved down so all sides would be uniform thickness, the CG would move away from the shortest sides and move towards the larger sides, of a uniform-thickness wire, away from the centroid of the triangle.

Yup. I was a bit too much in a hurry, and wanted to submit an answer without careful reflection. (Serves me right!) I'll give it another go.

Posted by FrankM on 2008-05-20 09:08:24