# 13: Simple Harmonic Motion

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Learning Objectives

• Understand how to model the position, velocity, and acceleration of a mass attached to a spring.
• Understand the conditions under which a system undergoes simple harmonic motion.
• Understand how to model the motion of a pendulum when it undergoes simple harmonic motion.

In this chapter, we look at oscillating systems that undergo “simple harmonic motion”, such as the motion of a mass attached to a spring. Many systems in the physical world, such as an oscillating pendulum, can be described by the same mathematical formalism that describes the motion of a mass attached to a spring.

Prelude

What do the motion of a mass attached to a spring, a cork bobbing in the water, and a pendulum have in common?

This page titled 13: Simple Harmonic Motion is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng.