Describe the mass-spring chains that gives rise to the following potential energy functions, and find their equilibrium

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Describe the mass-spring chains that gives rise to the following potential energy functions, and find their equilibrium configuration:
(a) 3u21 - 4u1u2 + 3u22 + u1 - 3u2
(b) 5u21 - 6u1u2 + 3u22 + 2u2
(c) 2u21 - 3u1u2 + 4u22 - 5u2u23 - u1 - u2 + u3
(d) 2u21 - u1u2 + u22 - u2u3 + u23 - u3u4 + 2u24 + u1 - 2u3.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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