Gyroscope Precession

This interactive simulator explores Gyroscope Precession in Classical Mechanics. Gravity torque τ = mgd, spin L = Iω, steady precession Ω ≈ τ/L — schematic 3D view. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Classical Mechanics.

Key terms

  • gyroscope
  • precession
  • gyroscope precession
  • mechanics
  • classical

Live graphs

How it works

A spinning rotor has angular momentum L along its axle. Gravity exerts a torque about the pivot that is perpendicular to L, so L changes direction rather than magnitude: the axle sweeps a cone — precession. This simulator uses the standard steady-precession estimate Ω = τ/L with τ = mgd, ignoring nutation and friction. Compare with Angular Momentum (conservation on a fixed axis): here torque is present, so L’s direction evolves.

Key equations

τ = m g d  ·  L = I ω_spin  ·  Ω ≈ τ / L
dL/dt = τ  (⊥ L ⇒ |L| ≈ const, direction precesses)