Settling to balance
Hang a mass on a spring and physics solves an equation for you: the mass sinks, oscillates, and settles exactly where the spring's pull equals the weight, k·x = m·g. Scrub the mass and the stiffness and watch it re-settle to the new answer, live.
weight m·gspring force k·xpredicted equilibrium m·g / k
Weight m·g
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Spring force k·x
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Sag x
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m·ẍ = m·g − k·x − c·ẋ, integrated live; Node-verified to settle at x = m·g/k (±2%). Heavier sags more, stiffer sags less, equilibrium is where the force arrows match. Built on the reusable probe.js primitive. Runs on your device. · Institute for Physical AI @ JBI