3. A pendulum consist of a mass m suspended by a massless spring with naturallength ro and spring constant k.(i) Sketch the system and determine the generalized coordinate.(ii) Calculate the Lagrangian, L =(iii) Calculate the generalized momenta for each generalized coordinate.(iv) Determine the Hamiltonian H(v) Determine the Hamilton's canonical equations of motion and show thatH(qk, Pk).%3Dİk = [qx,H],and pg = [Pk, H]%3D%3Dfor each generalized coordinate and [,] denotes Poisson bracket.

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Answered: 3. A pendulum consist of a mass m…

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