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    Lagrangian and Hamiltonian dynamics of a particle

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    A particle of mass m moves in one dimension under the influence of a force:

    F(x, t) = (k/x^2)*e^(-t/T)

    Where k and T are positive constants.

    a) Compute the Lagrangian and Hamiltonian Functions

    b) Compare the Hamiltonian and the total energy.

    c) Discuss the conservation of energy for the system.

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    Solution Preview

    Please see the attached file for detailed solution.

    A particle of mass m moves in one demension under the influence of a force:

    F(x, t) = (k/x^2)*e^(-t/T)

    Where k and T are positive constants.

    a) Compute ...

    Solution Summary

    The solution is a detailed explanation on Lagrangian and Hamiltonian dynamics of a particle which moves in one dimension under the influence of a force. The Lagrangian and Hamiltonian functions of the particle are calculated. Furthermore, the conservation of energy of the system is discussed.

    $2.19

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