Mass Oscillating between Two Springs

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A block is connected to two fixed walls by two springs. The equation of motion is

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,

where is the mass of the block, is the displacement of the mass, is time, and and are spring stiffness coefficients independent of and .

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Contributed by: Stephen Wilkerson (March 2011)
(United States Military Academy West Point, Department of Mathematics)
Open content licensed under CC BY-NC-SA


Snapshots


Details

This example comes from [1], section 4.1, "Modeling with First Order Equations".

Reference

[1] J. R. Brannan and W. E. Boyce, Differential Equations with Boundary Value Problems: An Introduction to Modern Methods and Applications, New York: John Wiley and Sons, 2010.



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