In this project, students create a two-dimensional shape with nonuniform density, finds its center of mass, and hang it from a mobile. The various portion of the project address the differences and relationships between computing the center of mass of a discrete set of point masses and a lamina.
Included here is also a sample solution to help students formulate their own well-written solutions. Also, in the LaTeX code are a few comments to address some of the basics of LaTeX and Overleaf.
This is a template for students in MATH 3000 at Fitchburg State University. This is for formal write-ups of results presented in class.
It also contains many comments to give a brief intro to LaTeX.
Anyone else is also free to use this template, but some things will be silly for you.