2. One-Dimensional Motion

  1. Martin W. McCall

Published Online: 12 NOV 2010

DOI: 10.1002/9780470972502.ch2

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) One-Dimensional Motion, in Classical Mechanics: From Newton to Einstein: A Modern Introduction, Second Edition, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470972502.ch2

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:

  • one-dimensional motion - rationale for one-dimensional analysis;
  • Newton's laws - with deep philosophical implications;
  • one-dimensional motion - location of body, force acting on body being precisely defined;
  • motion with a constant force;
  • work done by (net) force - equals change in kinetic energy;
  • work–energy theorem, and position - not velocity- or time-dependent forces;
  • work–energy theorem for a constant force system - particle in freefall under gravity;
  • motion with a position-dependent force;
  • particle in equilibrium, notion of ‘equilibrium’ - state of balance or of rest;
  • motion with a velocity-dependent force

Summary

This chapter contains sections titled:

  • Rationale for One-dimensional Analysis

  • The Concept of a Particle

  • Motion with a Constant Force

  • Work and Energy

  • Impulse and Power

  • Motion with a Position-dependent Force

  • The Nature of Energy

  • Potential Functions

  • Equilibria

  • Motion Close to a Stable Equilibrium

  • The Stability of the Universe

  • Trajectory of a Body Falling a Large Distance Under Gravity

  • Motion with a Velocity-dependent Force

  • Summary

  • Problems