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The study of motion and force in systems that evolve continuously over time, bridging classical mechanics and dynamical systems theory. It extends Newtonian physics to systems with feedback, nonlinearity, and time-dependent parameters. Where classical mechanics asks "Where will this cannonball land?", Dynamical Mechanics asks "How will this pendulum's swing evolve as energy dissipates, as friction changes with temperature, as the pivot point oscillates?" It's mechanics that respects the fourth dimension.
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