University of Florida/Egm4313/s12.team11.imponenti/R1.3

Report 1,problem 3

For the spring-dashpot-mass system shown, draw the FBDs and derive the following equation of motion Template:Center top $m y^{″} + f_{I} = f (t)$ Template:Center bottom File:Mass.spring.dash.jpg

Where f_I is the resistive force from both the spring and dash-pot and f(t) is our applied force.

Newton's second law of motion in the y-direction

Σ $F_{y} = m a = f (t) - f_{I}$ where $a = y^{″}$

which can be re-written as

                   $m y^{″} + f_{I} = f (t)$

Egm4313.s12.team11.imponenti 03:01, 30 January 2012 (UTC)