Video Title: (Torus-hq Mp4)
Video Duration: 0:11
From: hazelnusse
Category: Science and Technology
this animation is from a simulation of a uniform density torus rolling on a smooth flat surface without slip. the model parameters are: g 9.81 m s2 r1 0.594 m r2 0.055 m initial conditions: yaw pi 4.0 rad ignorable for purpose of dynamic motion lean 0.1 rad 0.0 being upright spin 0.0 rad ignorable for purpose of dynamic motion x 0.0 ignorable y 0.0 ignorable lean rate 0.1 rad s yaw rate 1.5 rad s about an axis in plane of torus and perpendicular to instantaneous heading spin rate -0.1 rad s an interesting thing about this system is that the motion only depends upon gravity, and the two radii of the torus m and inertia terms drop out. the simulation was performed using the gnu scientific library, rendered with opengl, frames captured to png using libpng, and encoded to an ogg vorbis file using ffmpeg. the original equations of motion were derived using pydy.
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