Explore the fascinating world of spring pendulums in this 15-minute video tutorial. Dive into the rich phase space views that demonstrate energy conservation and the interplay between gravitational and spring forces. Learn to simulate a spring pendulum using both GlowScript and Jupyter Notebook, with provided code examples. Discover how to visualize the system's behavior and analyze potential numerical instabilities in energy conservation calculations. Gain hands-on experience in applying Lagrangian mechanics to model complex physical systems, enhancing your understanding of classical mechanics and computational physics.