I am doing a project which involves finding the center of mass/gravity of half of a thin-walled, hollow, cylinder capped with ends of the same material and thickness. Basically like half of an empty soup can, as if the can were standing on a counter top and was sliced in half from top to bottom, leaving 2 "boat hulls".
I'm surprised at how much trouble I'm having finding out how to do this. Can someone please tell me how to do it?
I was using this for the body, but I wasn't (at all) sure it is the right formula:
$y_{cg} =\frac{1}{2r} \int^r_{-r} (r^2 -x^2)^.5 dr $
where r is the radius (a constant) and integrating from -x to x because x=r
Thanks!