Forced Harmonic Oscillator: Resonance

This lecture covers the concept of forced harmonic oscillators, including critical, super-critical, and sub-critical cases, as well as damped harmonic oscillators. It explains Newton's second law, steady state, and resonant forcing, with a focus on digital solutions and initial conditions. The instructor discusses the amplitude of the forcing, equilibrium, and transitional regimes. The lecture also explores resonances in physics, mechanical oscillators, and resonance breaking, highlighting practical applications in musical instruments, vehicles, and shock absorbers.