Show that the center of mass of a uniform semicircular disk of radius R is at a point (4/(3*Pi))R from the center of the circle.(adsbygoogle = window.adsbygoogle || []).push({});

well I know I am suppose to find this by integration. By this equation

[tex]M\vec{r_{cm}}=\int\vec{rdm}[/tex]

But, I am not sure how to find dm in this case...

do I divide mass by area? or by circumference?

and since it's a disk, and it was 2 variables, would I have to integrate for 2 variables? (x and y)?

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# Center of Mass by integration

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