In this lesson, we learn about the centroid of a planar region and how to calculate moments and centroids. The centroid is a point that acts as the center of the region, and if the region has lines of symmetry, then the centroid is located at their intersection. We also learn about additivity of moments and how to calculate the coordinates of the centroid by dividing the moments by the area. The lesson includes examples of finding the centroid of irregular polygons, strips, and regions between curves.
Calculation of moments and centroids.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.