Laplace transforms: Critically Damped Motion: Difference between revisions
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===Things we know=== |
===Things we know=== |
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\frac{dy}{dx}\ |
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Revision as of 17:57, 22 October 2009
Using the Laplace Transform to solve a spring mass system that is critically damped
Problem Statement
An 8 pound weight is attached to a spring with a spring constant k of 4 lb/ft. The spring is stretched 2 ft and rests at its equilibrium position. It is then released from rest with an initial upward velocity of 3 ft/s. The system contains a damping force of 2 times the initial velocity.
Solution
Things we know
\frac{dy}{dx}\