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2. A system has the Lagrangian L = q7 + 93 a+bq? + k193 + k29192, where a, b, k, and k2 are constants. aL

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2. A system has the Lagrangian L = q7 + 93 a+bq? + k193 + k29192, where a, b, k, and k2 are constants. aL aL (a) (6 marks) Find the generalized momenta P1 = ag, and p2 = aq2 (b) (4 marks) Find the Hamiltonian H = P191 + P292 - L. (c) (8 marks) Find the Hamilton's equations of motion

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