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.