Determine the Hamiltonian and the Hamilton's equation of motion:
For a system with generalized coordinate (q) and generalized momentum (p), the Hamiltonian (H) is defined as: [ H = p \dot{q} - L ] where (L) is the Lagrangian of the system (L = T - V), (T) being kinetic energy and (V) potential energy. Assume a particle of ___ ___ _________ _________ _________ ______ __________ _________ ________.
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