Rotating double pendulum

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Simulation of a frictionless planar double pendulum attached to a rotating wheel. The pendulum wheel and both pendulum bobs have masses.

The system was treated as a non-separable Hamiltonian system with three degrees of freedom. The wheel angle is a cyclic coordinate associated with conservation of angular momentum, and can be used to reduce the system to only two degrees of freedom.

0:00 large wheel large moment of inertia
0:21 small wheel large moment of inertia
0:29 zero angular momentum
0:47 non-zero angular momentum

The system was simulated using high order explicit symplectic integrators and rendered in real time.
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These are always a joy to watch. Can't wait to see what you come up with next :)

nzuckman
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Remember to hit the 4K settings and smash that full screen button

Added MSAA x16 to deal with the jagged lines, but apparently YouTube just can't handle thin lines outside full screen.

Zymplectic
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Can you show us a ball on a string demonstration of conservation of angular momentum that achieves the 12000 rpm which is directly predicted by the hypothesis of conservation of angular momentum?
Perhaps compared to one which keeps constant speed and conserves angular energy instead resulting in 1200 rpm?
Starts at 2 rps and has the radius reduced to 10%.

TheAnimammal