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Course: Calculus II
Topic: Physics
Subtopic: Moments and Centroids

Overview

Rounding out the calculus of physics, today we cover moments, center of mass, center of gravity, and centroids. In most cases we want to find "balance" points that put the system in equilibrium. Area, mass, density, and other physics terms and concepts will be important here as we apply the calculus.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Terms you should be able to define: 1-dimensional system, 2-dimensional system, fulcrum, equilibrium, moment of force, mass, center of mass, inertia, lamina, density, homogeneous, planar, center of gravity, centroid

Supplemental Resources (optional)

Video: Centroid of a Planar Region, Selwyn Hollis's Video Calculus

PDF: Moments and Centers of Mass, Dale Hoffman's Contemporary Calculus

rev. 2021-02-04