Physics
Gyroscope and spinning top
Precession, nutation and the Dzhanibekov effect.
What happens
A spinning top refuses to fall: gravity's pull turns into a slow precession circle, with a nodding nutation on top of it. Spin it faster and the precession slows down, exactly as the theory orders. The presets stage clean precession, strong nutation and the fast top; the chart tracks the tilt. The toy on its stand: the axle horizontal, let go from the hand - it dips by a computed couple of degrees, nods and precesses round the stand instead of falling.
Equations used in the module
Equations L = Iω; dL/dt = τ Ω ≈ mgr/(Iω) I₁ω₁′ = (I₂−I₃)ω₂ω₃ + τ₁
