Laplace transforms:Mass-Spring Oscillator: Difference between revisions
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By Newton's first law: |
By Newton's first law: |
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'''F'''='''m''''''a''' |
'''F'''='''m''''\''a''' Rightarrow '''f'''_''m''(t)=''m''ddot{x} |
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Revision as of 14:57, 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=m'\a Rightarrow f_m(t)=mddot{x}