Math 166 Project
Centroids

In problems 1 and 2, the objects have uniform density of 1.
Find the center of mass (= centroid, for these problems).

Problem 1

The mass is                                   __________

The moment around the y axis is  __________

The moment around the x axis is  __________

The center of mass is                   ___________

Problem 2

In the second problem, we have not shaded in the area bounded by the curve, but that's just to make it a little easier to read the coordinates.

The mass is                                   __________

The moment around the y axis is  __________

The moment around the x axis is  __________

The center of mass is                   ___________