Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

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:

• 7.3.1 Set-up and solve center of mass problems in a 1-dimensional system
• 7.3.2 Set-up and solve center of gravity problems in a 2-dimensional system

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)

rev. 2021-02-04