We can make the following inferences from the oscillatory motion
(displacement) of the mass-spring system written as:
- Energy is conserved, the oscillation never decays.
- At the peaks:
- the spring is maximally compressed or stretched;
- the mass is momentarily stopped as it is changing direction;
- At zero crossings,
- the spring is momentarily relaxed (it
is neither compressed nor stressed), and thus holds no PE
- all energy is in the form of KE.
- Since energy is conserved, the KE at zero crossings is exactly
the amount needed to stretch the spring to displacement
or
compress it to
.
``MUS 206: Mechanical Vibration''
by Tamara Smyth,
Department of Music, University of California, San Diego (UCSD).
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Copyright © 2019-11-15 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>