PHY 104 Simple Harmonic Motion Notes

Description

These comprehensive notes delve into the fundamental principles of Simple Harmonic Motion (SHM), beginning with its definition, the application of Newton's second law, and the derivation of the governing differential equation. The document explores general solutions for displacement, velocity, and acceleration, along with key parameters such as angular frequency, period, and frequency for mass-spring systems. It further extends these concepts to analyze the motion of a simple pendulum, employing the small-angle approximation. Additionally, the notes touch upon the energy transformations within SHM, covering kinetic and potential energy, and conclude with practical examples illustrating the application of these theoretical frameworks.