Explanation Given information: Spring constant α , mass β , damping coefficient γ . Calculation: We have, Damping force = − γ d x d t Restoring force = − α x Apply Newton’s second law of motion, total force = β d 2 x d t . Then, β d 2 x d t = damping force + restoring force β

4th Edition

ISBN: 9780495561989

Author: Paul Blanchard, Robert L. Devaney, Glen R. Hall

Publisher: Cengage Learning

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Chapter 2, Problem 8RE

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Differential Equations

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The second order and corresponding first order system for the mass spring system.

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