Calculus 3 Lesson 63: Center of Mass, Moments, & Inertia for 2D Lamina

Mar 03, 2026

Hi there! Today I have released Lesson 63 of my Calculus 3 series. In this lesson we learn about an application of double integrals!

Specifically you will learn:

  1. How to find the mass of a planar lamina with variable density
  2. How to find the first moments & center of mass for a lamina using double integrals
  3. How to find the second moments (of inertia) & radii of gyration for a planar lamina

I hope you enjoy this new lesson for Calculus 3. Next time we will learn how to find surface area using double integrals!

Until then,

- Josh

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