Bathroom Brilliance: The Pendulum Proof

That sweet moment of intellectual victory in the most mundane setting! Instead of mindlessly scrolling through social media during bathroom time, your brain decides to flex by deriving the equation of motion for a pendulum using Lagrangian mechanics—and nails it! For the uninitiated, Lagrangian mechanics is an alternative formulation of classical mechanics that uses energy functions instead of forces. Solving a pendulum problem this way requires tracking kinetic and potential energies and applying partial derivatives. Getting it right without computational aids? Pure galaxy-brain energy. Next challenge: deriving the Navier-Stokes equations before the hand soap runs out!