Math — Centroids & Pappus
Centroid of a region and Pappus's theorem.
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\bar{x} = \frac{1}{A}\int x\,dA
\bar{y} = \frac{1}{A}\int y\,dA
V = 2\pi\bar{r}A \;\text{(Pappus)}
\text{centre of mass of a lamina}
Centroid of a region and Pappus's theorem.
\bar{x} = \frac{1}{A}\int x\,dA
\bar{y} = \frac{1}{A}\int y\,dA
V = 2\pi\bar{r}A \;\text{(Pappus)}
\text{centre of mass of a lamina}