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Q4: A particle of mass m moves in three dimensions under influence of a force
described by a potential which is expressed in terms of cylindrical coordinates
P, q, z and constant parameters, a, b, Vo, as
V(p, q, z) = V,(cosh+ cos p – z/a).
A) Determine the hamiltonian of the system (= the particle).
B) Find Hamilton equation of motion.
C) Determine the constants of motion.

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