A particle of mass m moves under the influence of gravity along the spiral z= k0, r = constant where k is a constant and z is vertical. Obtain the Hamiltonian equations of motion. The potential energy is given as U = mgz and kinetic energy is T = 2² +2²]
A particle of mass m moves under the influence of gravity along the spiral z= k0, r = constant where k is a constant and z is vertical. Obtain the Hamiltonian equations of motion. The potential energy is given as U = mgz and kinetic energy is T = 2² +2²]
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Calculate the following
*Langrangian function.
*Canonical momentum .
* Hamiltonian function.
* Canonical equation of motion.
![A particle of mass m moves under the influence of gravity along the spiral z= k0, r = constant
where k is a constant and z is vertical. Obtain the Hamiltonian equations of motion.
The potential energy is given as U = mgz and kinetic energy is T
=
= ² m [²²22²² +2²]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F866d9fde-2cb2-4ff0-8d56-5d19cdf2be25%2F483bb47e-5a00-4177-8294-6adcdef4ed41%2F0gwekzy_processed.png&w=3840&q=75)
Transcribed Image Text:A particle of mass m moves under the influence of gravity along the spiral z= k0, r = constant
where k is a constant and z is vertical. Obtain the Hamiltonian equations of motion.
The potential energy is given as U = mgz and kinetic energy is T
=
= ² m [²²22²² +2²]
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