Lesson: Center of Mass of Laminas Mathematics

In this lesson, we will learn how to find the position of the center of mass (sometimes called the center of gravity) of a lamina composed of standard shapes in 2D.

Lesson Plan

Students will be able to

find the center of mass of laminas that are rectangles, triangles, or other standard 2D shapes including semicircles,
find the center of mass of laminas composed of standard 2D shapes,
find the center of mass of a lamina with additional masses added,
solve applied problems related to center of mass, for example, finding unknown angle measures given that the system is suspended from a vertex.

Lesson Video

Lesson Explainer

Sample Question Videos

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Lesson Worksheet

Q1:

A uniform lamina is bounded by the parallelogram . Where does its center of gravity lie?

Q2:

Where does the center of gravity of a uniform triangular lamina lie?

Q3:

Where does the center of gravity of a uniform circular disk lie?