Vertical Oscillator Equations and Energy Potentials

This lecture covers the calculation of variables, differential equations, and energy potentials in a vertical oscillator system. It also explores the use of energy potentials to solve differential equations and discusses the behavior of a simple pendulum. The presentation progresses to analyzing the impact of considering Archimedes' buoyant force in a damped oscillator system and concludes with a study on the Foucault pendulum. Various physical concepts and mathematical derivations are illustrated throughout the slides.