Lagrangian Pendulum Studio | Interactive Visualization | Elysia Tools

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Physics

Lagrangian Pendulum Studio

Drive a pendulum from the Lagrangian ℒ = ½mL²θ̇² + mgL·cosθ: watch KE/PE trade places, read the exact large-amplitude period T = 4√(L/g)·K(sinθ₀/2), and see isochronism fail as the orbit swells toward the separatrix.

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