00:01
We're given a region and we're asked to find the centroid of the region by locating the centroids of the rectangles and triangles and using addativity of moments.
00:16
This is in reference to the exercise 41 from this section.
00:22
You see that the region that we're given consists of what i would call three sub -regions, which is two triangles and one rectangle.
00:35
The two triangles, well, one triangle has vertices 0 -0 -20 -1 -2, the other triangle has vertices 0 -0 -0 -2 -0 -2 -2, and the rectangle has vertices 0 -0 -2 -0 -0 -0 -0 -2 -0 -2 -1.
01:09
So it follows that two triangles and the rectangle have massive, which are the areas of one half times the base, which is two times the height, which is two, for both triangles, or two, two, and then the area of the rectangle is four times one, which is four.
01:59
So it follows that the total mass of the region is eight...