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This lecture covers the dynamics of rigid bodies, focusing on the concept of the center of mass. It explains how the distance between two points of a solid remains constant over time, regardless of its motion. The instructor discusses examples of calculating the center of mass for various objects and demonstrates how to determine the equilibrium position. Additionally, the lecture delves into the composition of center of masses for systems with multiple objects and provides insights into the moment of inertia. Various scenarios, such as rotation around different axes and the projection of angular momentum, are explored in detail.