Simple Harmonic Motion
PHYS 210 · Module 1
This module develops simple harmonic motion as the foundation for oscillations and waves. Students study the SHM differential equation, mass-spring systems, pendulums, and the energy exchange that makes oscillatory motion possible.
Lessons in this module
The SHM differential equation
Simple harmonic motion begins with a restoring acceleration proportional to displacement and opposite in direction. This lesson derives and interprets the central SHM differential equation.
Mass-spring system
A mass attached to an ideal spring is the standard physical model of SHM. This lesson derives the motion, period, and energy behavior of the spring oscillator.
Simple pendulum
A simple pendulum is approximately harmonic for small angles. This lesson derives the pendulum equation, explains the small-angle approximation, and interprets the period.
Energy in SHM
Energy methods reveal how SHM continually exchanges kinetic and potential energy while conserving total mechanical energy. This lesson develops energy equations and phase relationships.
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