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In: Physics

Consider a simple plane pendulum of mass m and length l (the mass swings in a...

Consider a simple plane pendulum of mass m and length l (the mass swings in a vertical
plane). After the pendulum is set into motion, the length of the string is decreased at a
constant rate,
??/?? = −? = ?????. The suspension point remains fixed.
(a) Compute the Lagrangian and Hamiltonian for the system. [4]
(b) Compare the Hamiltonian and the total energy- is the energy conserved? Why/Why
not? [2]

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