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A simple pendulum consists of mass m suspended by a massless string of length
e as shown in the figure to the right.
(a) Determine the Lagrangian for this pendulum in terms of its length e and
angle 0.
(b) Determine Lagrange's equations of motion for this pendulum.
(c) Determine the Hamiltonian for this pendulum in terms of its length e and
angle 0.
(d) Determine Hamilton's equations of motion for this pendulum.
m

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