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. | ||
'''Solution:''' | |||
We first begin by setting up a few equations from Newton's laws. | |||
By Newton's first law, F=ma. | |||
Revision as of 15:52, 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.