Laplace transforms: Critically Damped Motion: Difference between revisions

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==Using the Laplace Transform to solve a spring mass system that is critically damped==
==Using the Laplace Transform to solve a spring mass system that is critically damped==


=Problem Statement=
===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.

Revision as of 16:50, 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.