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This lecture covers the dynamics of a point mass moving on the inner surface of a cone under the influence of gravity. The lecture discusses the geometric constraints, the vectorial law of motion, the expression of the angular momentum, and the constancy of the angular momentum norm. It also explores the establishment of the mechanical energy expression and the determination of the radial coordinate when the angle is constant. The lecture concludes with the derivation of the radial position in equilibrium and the radial coordinate expression in terms of given parameters.