Lagrangian mechanics#

Systems whose equations of motion are derived symbolically from a Lagrangian \(L(q, \dot q, t)\) via LagrangianEngine – a double pendulum, a bead on a rotating hoop, coupled oscillators, and an elastic (spring) pendulum showing 1:2 autoparametric resonance – including one built entirely from scratch, outside physicskit.classical.systems, showing the raw symbolic-derivation workflow directly.