# 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

${\displaystyle my''+f_{I}=f(t)}$

### 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${\displaystyle F_{y}=ma=f(t)-f_{I}}$ where ${\displaystyle a=y''}$

which can be re-written as

```                  ${\displaystyle my''+f_{I}=f(t)}$
```

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