A particle of mass m is attracted to a center of force by a force of magnitude k/r2 , where k is a constant and r is the distance between the particle and the center of force. (a) Write the Lagrangian of the system in terms of polar coordinates. (b) Write the Hamiltonian of the system. (c) Using Hamilton's equations, determine
A particle of mass m is attracted to a center of force by a force of magnitude k/r2 , where k is a constant and r is the distance between the particle and the center of force. (a) Write the Lagrangian of the system in terms of polar coordinates. (b) Write the Hamiltonian of the system. (c) Using Hamilton's equations, determine
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A particle of mass m is attracted to a center of force by a force of magnitude k/r2
, where k is a constant and r is the distance between the particle and the center of force.
(a) Write the Lagrangian of the system in terms of polar coordinates.
(b) Write the Hamiltonian of the system.
(c) Using Hamilton's equations, determine the equations of motion for the particle.
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