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Physics Fundamentals

Pendulum
Master

Release pendulums to knock targets.
Real SHM physics. 8 levels of precision.

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🎯 Pendulum Physics Game

Pendulum Master — Free Online Simple Harmonic Motion Game

Pendulum Master is a free physics game that teaches simple harmonic motion, period, energy conservation and resonance through 8 levels of precision pendulum puzzles. Release pendulums to knock targets — and understand SHM without memorising a single formula first.

The physics behind the game

Period formula

T = 2π√(L/g)

The period depends only on length and gravity — not on mass, not on release angle (for small angles). This is isochronism, discovered by Galileo. A longer pendulum swings slower; a shorter one swings faster.

Energy conservation

E = ½mL²ω² + mgL(1 − cosθ)

Total energy is conserved. At maximum angle, all energy is potential. At the bottom, all energy is kinetic. This is why releasing from higher up always means more speed at the bottom — and a wider swing.

Resonance

f_resonance = (1/2π)√(g/L)

Pushing a pendulum at exactly its natural frequency causes amplitude to grow with each push. Push at the wrong frequency and the swings stay small or even cancel — destructive interference.

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