Locate the centroid of the area bounded by the $x$-axis and the sine curve $y = a \sin \dfrac{\pi x}{L}$ from $x = 0$ to $x = L$.
Locate the centroid of the area bounded by the $x$-axis and the sine curve $y = a \sin \dfrac{\pi x}{L}$ from $x = 0$ to $x = L$.