College Physics I – Introduction

study guides for every class

that actually explain what's on your next test

Overdamped

from class:

College Physics I – Introduction

Definition

Overdamped describes a system where the damping force is so strong that it prevents oscillations and the system returns to equilibrium without oscillating. This occurs when the damping coefficient is greater than the critical damping coefficient.

congrats on reading the definition of overdamped. now let's actually learn it.

ok, let's learn stuff

5 Must Know Facts For Your Next Test

  1. In an overdamped system, the damping constant $b$ is greater than $2\sqrt{mk}$, where $m$ is mass and $k$ is the spring constant.
  2. Overdamping results in a slow return to equilibrium without any oscillation.
  3. The characteristic equation of an overdamped harmonic oscillator has two distinct real roots.
  4. An overdamped response takes longer to reach equilibrium compared to a critically damped response but avoids oscillations entirely.
  5. Examples of overdamped systems include some automotive shock absorbers and certain electrical circuits.

Review Questions

  • What condition must be met for a system to be considered overdamped?
  • How does an overdamped system behave when displaced from its equilibrium position?
  • Compare and contrast the time it takes for an overdamped system to return to equilibrium with that of a critically damped system.
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
Glossary
Guides