Dimensional Analysis Gauge

Quality control for a physics simulation starts before a single number is computed: does the equation even balance dimensionally? This 2D simulator turns that check into two flat, physically real instruments — a pair of exponent-plane scatter plots and a draggable torsion-spring dial — built from a library of real mechanical quantities (force, energy, pressure, momentum, and more). Pick a quantity for the left side and one or two for the right, watch the dial settle under a genuine damped rotational oscillator with tunable stiffness, damping and inertia, and read a separate, exact verdict on whether the SI base-unit exponents of mass, length and time actually match. Try F = m·a (valid) versus F = m·v (invalid) to see both a physically satisfying needle swing and a hard pass/fail dimensional-homogeneity check side by side.