$3$A$\mathrm{.}0$ Prelab

This pre$-$lab is due at the beginning of the laboratory period.

Read the entire assignment for both Part A and Part B of this exercise.

Consider the mass$-$spring$-$damper system shown in Figure $3$A$\mathrm{.}1,$ where $k=10[$lbf$/$in$],$

lbf$.\{$:$\frac{s^2}{i}n],$ and $b=2[$lbf$.$s$/$in$].$

Draw a linear graph and normal tree representing this system.

Create a block diagram in Simulink ${?}^{TM}$ that will simulate the response of this system

to the input $v_s(t)=5sin(t)[i\frac{n}{s}].$ The block diagram should flow horizontally from

inputs on the left to outputs on the right.

The outputs of interest for this system are the position, velocity, and acceleration of

the mass, as well as the force in the spring. Output each of these values to the MAT$-$

$LA{B}^{TM}$ workspace and generate a plot of each output with respect to time. Run the

simulation for $15[s].$