System Dynamics
System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 1, Problem 1.15P

The distance a spring stretches from its “free length” is a function of how much tension is applied to it. The following table gives the spring length y that was produced in a particular spring by the given applied force f. The spring’s free length is 4.7 in. Find a functional relation between f and x, the extension from the free length (y = y − 4.7).

Force  f   pounds ¯ 0 0.47 1.15 1.64 Spring length  y   inches ¯ 4.7 7.2 10.6 12.9

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