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The Lagrangian L = (x +y) mgy .dis defined a 2d projectile motion a) Please write Hamiltonian Canonical equation and conservative physical quantities.

The Lagrangian L = " (x +y) mgy .dis defined a 2d projectile motion a) Please write Hamiltonian Canonical equation and conservative physical quantities. b) Please write Hamilton-Jacobi Equation. c) Solve the Hamilton-Jacobi Equation to calculate Hamilton main function. You may leave the your answer as an indefinite integral form. d) By using the last Hamilton function (main function) to show the orbital function is a parabola.

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