Consider a simple plane pendulum consisting of a mass m attached to a string of length l.

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Consider a simple plane pendulum consisting of a mass m attached to a string of length l. After the pendulum is set motion, the length of the string is shortened at a constant rate

The suspension point remains fixed. Compute the Lagrangian and Hamiltonian functions. Compare the Hamiltonian and the total energy, and discuss the conservation of energy for the system

di -a = constant dt
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