A particle of mass m is constrained to move on the surface of a cylinder of...
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A particle of mass m is constrained to move on the surface of a cylinder of radius R. The particle is subjected to a force directed towards the origin and is proportional to the distance of the particle from the origin. Construct the Hamiltonian function and obtain the Hamilton's equations of motion. Hint: The force directed towards origin is given by F = -kr and the constraint on the particle is (x + y) = R and x = R cosp and y = R sino where is called azimuthal angle] A particle of mass m is constrained to move on the surface of a cylinder of radius R. The particle is subjected to a force directed towards the origin and is proportional to the distance of the particle from the origin. Construct the Hamiltonian function and obtain the Hamilton's equations of motion. Hint: The force directed towards origin is given by F = -kr and the constraint on the particle is (x + y) = R and x = R cosp and y = R sino where is called azimuthal angle]
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