A pendulum consists of a mass m suspended by a massless spring with unextended length b and spring constant k. The pendulum’s point of support rises vertically with constant acceleration a. (a) Use the Lagrangian method to find the equations of motion. (b) Determine the Hamiltonian and Hamilton’s equations of motion.

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A pendulum consists of a mass m suspended by a massless spring with
unextended length b and spring constant k. The pendulum’s point of support
rises vertically with constant acceleration a.


(a) Use the Lagrangian method to find the equations of motion.


(b) Determine the Hamiltonian and Hamilton’s equations of motion.

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