Motion, oscillation & chaos

Physics

Real numerical simulations you can nudge and watch respond — a spring-mass system across every damping regime, pendulums from predictable to chaotic, ballistics that carry their own drag, and orbits worked from Newton upwards. Beverage Cooling solves the same heat equation as the Steak Timer and the Egg Timer: same physics, different object. A can in a fridge, a steak in an oven and an egg in boiling water differ only in their boundary condition and what they are made of.

Mass-Spring-Damper

A second-order system across all four damping regimes — set the mass, spring and damping, and watch the step response ring, settle, or crawl.

mx″ + cx′ + kx = 0 · ζ, ωₙ, settling time
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Refraction & Diffraction Calculator

Snell's law, critical angle and Fresnel reflection with a live ray diagram, plus single-slit, double-slit, grating and Airy-disc patterns drawn out.

Pendulum Simulator

The same Lagrangian mechanics, one, two, or three links deep — from a clean predictable swing to full chaotic motion.

Lagrangian mechanics · RK4 integration
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Inclined Plane

A block on a slope, simulated with real friction — set the angle and coefficients and watch whether it holds, slides, or slides back.

a = g(sinθ − μcosθ)
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Beverage Cooling Simulator

A real 2D transient heat-transfer simulation — watch a can or bottle actually cool, with live convection and radiation physics.

finite-volume · convection + radiation
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Projectile Motion & Golf Ball Flight

The classic no-drag trajectory, plus a real 3D drag + Magnus-lift golf simulator — clubs, wind, world gravity, bounce and roll.

R = v²sin2θ⁄g · drag · Magnus lift
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Galileo Drop Experiment

Race two falling objects with real drag physics — recreate Apollo 15's hammer-and-feather drop on the Moon.

quadratic drag · RK4
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SUVAT Calculator

Enter any three of s, u, v, a and t and get the other two, with the equation used and the working shown.

v = u + at · s = ut + ½at²
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Relativity

Built from one fact: everybody measures light at the same speed. Watch a light clock slow down, see why “now” is not universal, and find the 38 microseconds a day that satellite navigation depends on.

γ = 1/√(1−β²)
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Solar System

Every planet in 3D, drawn from its real orbital elements — at true scale, where they all but vanish, and compressed, where you can see them. Size against size, and a head-to-head on ten measures.

T² = a³ · orbits · scale
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Orbital Mechanics

Kepler's laws and the vis-viva equation, with a live animated orbit — try the ISS, geostationary, or a Molniya orbit.

T = 2π√(a³/μ)
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Rocket Equation & Delta-v Budget

Stage a rocket, watch it launch, and see if it can actually reach orbit — real vehicle presets included.

Δv = Iₛₚg₀ ln(m₀/m_f)
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Collision Simulator

Multi-ball collisions and Newton's Cradle, from perfectly elastic to perfectly inelastic — up to 10 balls.

p = mv per collision · KE only if e = 1
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Idealised, numerically-integrated systems. Point masses, massless rods and springs, and no air resistance except where a page models it — the pendulum and the golf ball both do. Real hardware has more going on — these are for building intuition, not engineering sign-off.