Laplace transforms:Mass-Spring Oscillator: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 9: | Line 9: | ||
By Newton's first law: |
By Newton's first law: |
||
'''F'''='''m''' |
'''F'''='''m''''''a''' \Rightarrow '''f'''_''m''(t)=''m''\ddot{x} |
||
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)=m\ddot{x}