Suppose that you have the Lagrangian L = 1 (;² + ở´n² ) + 420 for a 2D 20 system in plane polar coordinates (r, 0). Determine the Hamiltonian.
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![Suppose that you have the Lagrangian L = (;2 + ʻr²) + 20 for a 2D
20
system in plane polar coordinates (r, 0).
Determine the Hamiltonian.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbeeb476-a64f-4459-b8af-acf5dbdffec4%2Fc8bffc37-9d17-4ba2-9cab-613f10506da1%2Fdep8epl_processed.png&w=3840&q=75)
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Hamiltonian of the system is given by
Where L = Lagrangian of the system, pq = Conjugate momenta corresponding to canonical variable q
Conjugate momenta are given by
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