Newton's law, phase space, momentum and energy

Classical Mechanics (Fall, 2011)

October 3, 2011

This lecture focuses on classical mechanics expressed using Newton's 2nd law. The notions of phase space, momentum and energy are introduced.

  • Aristotle incorrect laws of motion
  • Newton's law (the 2nd law)
  • Inertial reference frames
  • Newton's determinism and the need of position and velocity
  • Momentum and Newton's law
  • Phase space
  • Newton and reversibility
  • Newton's law and conserved quantities
  • Newton's 3 laws
  • Proof of conservation of momentum for an isolated system of particles
  • Potential energy
  • Energy conservation for a system of particles
  • Harmonic oscillator and energy