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

Problem Statement
For the spring-dashpot-mass system shown, draw the FBDs and derive the following equation of motion $$my''+f_I=f(t)$$

Free Body Diagram


Where fI 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

$$my''+f_I=f(t)$$

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