Foucault Pendulum: Theoretical Analysis

This lecture delves into the theoretical analysis of the Foucault pendulum, exploring the impact of pseudo-forces in non-inertial reference frames and the Coriolis effect. The instructor explains the complex equations involved in modeling the pendulum's motion in spherical coordinates, highlighting the interplay between gravitational forces, rotation of the Earth, and the pendulum's movement. By dissecting the forces at play and considering the Earth's rotation, the lecture demonstrates how the pendulum's behavior can be mathematically predicted. The discussion also touches on the practical challenges of replicating the Foucault pendulum in smaller-scale models, emphasizing the need for adjustments to account for friction and maintain the pendulum's oscillation plane. Through detailed calculations and explanations, the lecture provides insights into the intricate dynamics of the Foucault pendulum.