37 posts on animation. All posts · RSS feed
For the purposes of this article, the harmonically-driven pendulum is one whose anchor point moves in time according to . As with previous posts, the position of the pendulum bob with time can be described using Lagrangian mechanics. In a coordinate system with the pendulum …
Following on from the previous post on the double pendulum, here is a similar Python script for plotting the behaviour of the "spring pendulum": a bob of mass suspended from a fixed anchor by a massless spring. As before, the code places frames of the …
In classical mechanics, a double pendulum is a pendulum attached to the end of another pendulum. Its equations of motion are often written using the Lagrangian formulation of mechanics and solved numerically, which is the approach taken here. The dynamics of the double pendulum are …
A very simple diffusion simulation can be constructed in two dimensions by following the positions of a number of "particles" which all start off at the centre of a grid of cells. Time is assumed to progress in a series of "ticks": at each tick, …
Wa-Tor is a population dynamics simulation described by Alexander Dewdney in Scientific American (1984): "Computer Recreations: Sharks and fish wage an ecological war on the toroidal planet Wa-Tor". In the above animation, fish (prey) are pink and sharks (predators) are yellow. In this case, the …
A simple model of a forest fire is defined as a two-dimensional cellular automaton on a grid of cells which take one of three states: empty, occupied by a tree, or burning. The automaton evolves according to the following rules which are executed simultaneously for …
The Wilberforce Pendulum is a mass suspended on a helical spring which is free to move up and down as well as to rotate as the spring coils and uncoils with its extension. You can see one in action below.
