Laplace transforms: Critically Damped Motion: Difference between revisions

From Class Wiki
Jump to navigation Jump to search
Line 19: Line 19:
<math>\text {Damping constant C=2}\,</math>
<math>\text {Damping constant C=2}\,</math>


<math>\text {x(0)=0 and x'(0)=-3}\,</math>
<math>\text {x(0)=0}\,</math>





Revision as of 18:28, 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