Home▸Physics & Mechanics▸Hanging Chain 3D Physics Simulation: Bessel Normal Modes, Resonance and Whirling (2D)

⛓️ Hanging Chain 3D Physics Simulation: Bessel Normal Modes, Resonance and Whirling (2D)

A heavy chain hangs from a shaken pivot. Tune the pivot to a normal mode and the chain resonates in the shape of a Bessel function; shake in a circle and it whirls; sweep the frequency and see the peaks line up with the zeros of J0, with the 40-bead model checked against theory.

Physics & Mechanics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version
Hanging Chain 3D Physics Simulation: Bessel Normal Modes, Resonance and Whirling (2D) ↗ Open standalone
⚙ Under the hood

A heavy chain hangs from a shaken pivot. Tune the pivot to a normal mode and the chain resonates in the shape of a Bessel function; shake in a circle and it whirls; sweep the frequency and see the peaks line up with the zeros of J0, with the 40-bead model checked against theory.

hanging chainBessel functionnormal modesresonancestanding waveswhirling chain3D physics simulation

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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