The standard simple harmonic oscillator (SHO) potential, expressed as V = mω²x²/2, describes systems that follow Hooke's Law, where the restoring force is proportional to displacement. This potential is commonly found in mechanical systems like springs and pendulums, where the angular frequency ω relates to the spring constant k and mass m through the equation ω = √(k/m). The discussion clarifies that the potential energy formula aligns with the SHO model, emphasizing the relationship between k and mω². Understanding this relationship helps in identifying physical situations governed by the SHO potential. The explanation highlights the importance of angular frequency in characterizing oscillatory motion.
