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

Report 1,problem 3

Problem Statement

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

Free Body Diagram

File:FBD1.3.jpg

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

Kinetics

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

Σ$F_y=ma=f(t)-f_I$ 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)