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Consider a vertical plane in a constant gravitational field. Let the origin of a coordinate system...

  1. Consider a vertical plane in a constant gravitational field. Let the origin of a coordinate system be located at some point in this plane. A particle of mass m moves in the vertical plane under the influence of gravity and under the influence of an additional force f=-Ara-1 directed toward the origin (r is the distance from the origin and A and a are constants). Choose appropriate generalized coordinates and find the Lagrangian equations of motion.
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