画像 centroid of parabola y=x^2 285498-Centroid of parabola y=x^2
Solved 1 Find The Centroid Of The Region In The First Chegg Com For the height of the centroid, you need to find the moment of the paraboloid about the $x$$y$ plane The crosssectional area at height $z$ is $\pi(x^2y^2)=\pi z$ A thin slice of thickness $dz$ at that height has approximate volume $\pi z\,dz$, and therefore moment about the $x$$y$ plane approximately $z(\pi z \,dz)$ The centroid of a parabola is found with the equation y = h/b^2 * x^2, where the line y = h Additionally, the area is 4bh/3 Centroid of parabola y=x^2