Pendulum with sliding box

Simulation of a pendulum system with a sliding box. The box is sliding on a ramp perpendicular to the pendulum with the ramp being mounted to the pendulum pivot. Springs are mounted to the ramp at both ends with compactly supported interaction with the box.
The pendulum and box has the same mass. Other objects are massless.

The massless springs are compactly supported. The compact support implies that Hooke's law is slightly modified at the contact point to comply with all zero higher order derivatives as required for accurate application of higher order integration algorithms.

The video demonstrates chaotic and regular motion. The same physical parameters are used throughout the video, except the speed and the system energy which varies for each section.

0:00 intro / 2D display / full rotation
0:34 regular motion
1:03 regular (singular)
1:12 regular (singular)
1:18 chaos 🔥

The system is treated as a nonseparable Hamiltonian system with two degrees of freedom, and was simulated using higher order explicit symplectic integrators and was rendered in real time.

[trdrudedude]

I dont know why this is so fun to watch but have some engagement

[ARVash]

I wonder what would happen with a double pendulum at the bottom