A particle of mass (m) is attracted to the origin by a force of magnitude (k /
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A particle of mass \(m\) is attracted to the origin by a force of magnitude \(k / r^{2}\). Using plane polar coordinates, find the Hamiltonian and Hamilton's equations of motion. Sketch constant- \(H\) contours in the \(\left(r, p_{r}\right)\) phase plane.
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