A particle of mass m constrained to move on the surface of a cylinder defined by x² + y = R° . The particle is subject to a force directed toward the origin and proportional to the distance of the particle from the origin: F=-kr. (a) Use the Hamiltonian method to find the equations of motion. (b) Draw the phase diagram for the particle. HA = Johr

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A particle of mass m constrained to move on the surface of a cylinder defined by
x² + y° = R? . The particle is subject to a force directed toward the origin and proportional to
the distance of the particle from the origin: F= -kr.
(a) Use the Hamiltonian method to find the equations of motion.
(b) Draw the phase diagram for the particle.
4.
dA
Transcribed Image Text:A particle of mass m constrained to move on the surface of a cylinder defined by x² + y° = R? . The particle is subject to a force directed toward the origin and proportional to the distance of the particle from the origin: F= -kr. (a) Use the Hamiltonian method to find the equations of motion. (b) Draw the phase diagram for the particle. 4. dA
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