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This lecture covers the dynamics of a rigid body with a fixed axis and gyroscopes, discussing topics such as physical pendulum, moment of inertia, Huygens-Steiner theorem, equations of motion, small angle approximation, and period calculation. The instructor explains the concepts using examples and derivations, emphasizing the differences between a physical pendulum and a mathematical pendulum. Additionally, the lecture explores the rotation of a thin bar, focusing on angular velocity, external forces, acceleration, and theorems related to the center of mass and moment of inertia. Theoretical formulas and practical applications are presented to illustrate the principles of rotational dynamics.