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A particle moves in a potential field,let V(z)be the potential energy function,V(z)=kz, use the cylindrical coordinates...


A particle moves in a potential field,let V(z)be the potential energy function,V(z)=kz, use the cylindrical coordinates as general coordinates.

(1)Determine the Lagrangian for this particle.

(2)Calculate the generalized impulse for this particle.

(3)Determine the Hamiltonian and the equation of motions for this particle.

(4)Determine the conserved quantity of this system.

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