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Statement of a problem № 3441

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A particle moves in a horizontal plane in a central force potential U (r ). Derive the Lagrangian in terms of the polar coordinates (r,T). Find the corresponding momenta pr and pT and the Hamiltonian. Hence show that the energy and angular momentum of the particle are conserved.

Solution:
A particle moves in a horizontal plane in a central force potential U (r ). Deri

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