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This lecture covers the Huygens-Steiner theorem for determining the moment of inertia of a rigid body rotating around a fixed axis, expressing it in terms of a known moment of inertia. It also discusses the kinetic energy of a rigid body, including the energy of motion of the center of mass and the relative rotational motion. The lecture further explores the transfer of kinetic moment, geometric identities, and vector identities related to kinetic energy. Additionally, it delves into the theorem of kinetic energy, its derivatives, and the principles of thermodynamics applied to rigid bodies.