Mass Spring System
The Mass Spring System notebook shows how to model coupled mass spring systems with DiffKt. Mass spring systems are used in computer graphics to model textures, fabrics, or clothes. The Mass Spring System notebook is a set of ordinary differential equations (ODEs) that model the forces of the spring interactions as Hookian springs, and model the force of gravity pulling down on the masses. The ODEs are solved with a simple forward Euler ODE solver. Energy equations are given for the different forces and DiffKt is used to automatically differentiate the energy equations in the solving of the ODEs.