Hamiltonian mechanics6 is based on the Hamiltonian function H(p, q). representing the total energy in terms of
Question:
For the undamped mass-spring system with mass m, spring constantk, and displacement x, we let q = x and p = mx (the momentum).
(a) Show that the kinetic energy of the mass is p2 / 2m.
(b) Show that the total energy is H (p, q) = p2/2m + kq2/2.
(c) Derive the corresponding Hamiltonian system.
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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