3. Oscillatory Motion

  1. Martin W. McCall

Published Online: 12 NOV 2010

DOI: 10.1002/9780470972502.ch3

Classical Mechanics: From Newton to Einstein: A Modern Introduction, Second Edition

Classical Mechanics: From Newton to Einstein: A Modern Introduction, Second Edition

How to Cite

McCall, M. W. (2010) Oscillatory Motion, in Classical Mechanics: From Newton to Einstein: A Modern Introduction, Second Edition, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470972502.ch3

Author Information

  1. Imperial College London, UK

Publication History

  1. Published Online: 12 NOV 2010
  2. Published Print: 1 OCT 2010

ISBN Information

Print ISBN: 9780470715741

Online ISBN: 9780470972502

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Keywords:

  • oscillatory motion;
  • system, disturbed from its equilibrium state - restoring force, proportional to displacement from equilibrium about which system oscillates;
  • prototype mass–spring harmonic oscillator;
  • ordinary (as opposed to partial) differential equations;
  • energy in simple harmonic motion - examining SHM further using energy concepts;
  • two natural timescales - associated with damped SHM;
  • heavy damping and critical damping;
  • power in forced oscillations;
  • coupled oscillator system, initial step - general situation of oscillations of extended systems

Summary

This chapter contains sections titled:

  • Introduction

  • Prototype Harmonic Oscillator

  • Differential Equations

  • General Solution for Simple Harmonic Motion

  • Energy in Simple Harmonic Motion

  • Damped Oscillations

  • Light Damping – the Q Factor

  • Heavy Damping and Critical Damping

  • Forced Oscillations

  • Complex Number Method

  • Electrical Analogue

  • Power in Forced Oscillations

  • Coupled Oscillations

  • Summary

  • Problems