Articles for subject Classical

  • Equations of motion for a gyroscope are derived by considering the torques.
  • In a rotating coordinate system, a free particle moves in a way that appears to be affected by three forces: the centrifugal force, the Coriolis force and the Euler force. These forces arise only from the rotation of the coordinate system.
  • The description of 2D rotational motion is further developed in analogue to linear dynamics by introducing the rotational equivalents of force, momentum and mass.
  • The description of 2D rotational motion is developed in analogue to linear kinematics.
  • The centre of mass of a system of particles is derived as a fictitious point that behaves as if the mass of the entire system where concentrated there. Tricks for finding it are discussed.
  • A simple review of the notation and some of the expressions for kinematics and dynamics along a line, for classical physics.
  • The map of phase space of a dynamical system is a really convenient way of summarising the behaviour of a system. In particular it doesn’t require a solution to the equations of motion.
  • The loaded string is a classic problem of coupled oscillators where \(N\) small masses are threaded onto a light string. It makes a nice transition for considering the continuum case and waves.
  • The continuum limit of the loaded string is derived, arriving at the one dimensional wave equation.
  • Coupling together two or more oscillators introduces a whole new level of complexity. It turns out that there is a particular way of looking at the system that makes it simple to solve the motion.
© Copyright 2021 Alexei Gilchrist