Harmonic Oscillator and Rotational Motion

This lecture covers the damped and forced harmonic oscillator, including the general solution and restoring force of an elastic spring. It also delves into vectors, scalar products, and rotating vectors in the context of mechanical systems. The discussion extends to uniform circular motion, spherical and cylindrical coordinates, as well as dry and fluid friction forces. Additionally, it explores work, kinetic energy, central motion, and the conservation of mechanical energy. The lecture concludes with topics on stable balance, small oscillations, and the conservation of angular momentum in various mechanical systems.