Laplace transforms:Mass-Spring Oscillator: Difference between revisions
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An ideal mass ''m'' sliding on a frictionless surface, attached via an ideal spring ''k'' to a rigid wall. The spring is at rest when the mass is centered at ''x=0''. Find the equation of motion that the spring mass follows. |
An ideal mass ''m'' sliding on a frictionless surface, attached via an ideal spring ''k'' to a rigid wall. The spring is at rest when the mass is centered at ''x=0''. Find the equation of motion that the spring mass follows. |
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'''Solution:''' |
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We first begin by setting up a few equations from Newton's laws. |
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By Newton's first law, F=ma. |
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Revision as of 14:52, 19 October 2009
Problem Statement:
An ideal mass m sliding on a frictionless surface, attached via an ideal spring k to a rigid wall. The spring is at rest when the mass is centered at x=0. Find the equation of motion that the spring mass follows.
Solution:
We first begin by setting up a few equations from Newton's laws.
By Newton's first law, F=ma.