Calculus 2: Centroids

Discusses (1) how to find the center of mass of a system of point-masses in both one- and two-dimensional frameworks; (2) how to find the centroid of two-dimensional plates such as circles, rectangles, triangles, and shapes with axes of symmetry; (3) how to find the centroid of a system of two-dimensional plates; and (4) how to use integration to find the centroid of a plate bound by two functions of x over some specified interval.

0:00 Page 1 Center of mass with two point masses in 1 dimension
5:19 Page 2 Center of mass with three point masses in 1 dimension
6:49 Page 3 Center of mass with two point masses in 2 dimensions
8:30 Page 4 Centroids of 2-dimensional plates
11:26 Page 5 Centroid of a right triangle
12:47 Page 6 Centroid of a right trapezoid
16:37 Page 7 Formula for centroid of a plate bounded by two functions
19:30 Page 8 Example using integration
21:16 Using Desmos