Euler Equations and Rotation Dynamics

This lecture covers the Euler equations describing the dynamics of rotation, focusing on the behavior of a solid rotating freely around different axes. It also explores gyroscopic effects and stability in rotating systems, illustrated with examples like a bicycle wheel. The lecture delves into the paradoxical behavior of gyroscopes and the constancy of rotational speed. Various concepts such as the center of mass, equilibrium of a wheel, and gyroscopic effects are discussed in detail.