Laplace transforms: Critically Damped Motion

From Class Wiki
Revision as of 18:09, 22 October 2009 by Mark.bernet (talk | contribs) (→‎K=4)
Jump to navigation Jump to search

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