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5. A particle moves in the xy plane under the influence of a central force that depends only on its
distance from the origin. (a) Write the Hamiltonian for such a system in detail. (b) Also obtain
Hamilton's equations of particle motion and show that it is possible to reobtain the results of the
Lagrangian formalism.

5. A particle moves in the xy plane under the influence of a central force that depends only on its
distance from the origin. (a) Write the Hamiltonian for such a system in detail. (b) Also obtain
Hamilton's equations of particle motion and show that it is possible to reobtain the results of the
Lagrangian formalism.

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