A$)$ Given

For the translational mechanical system shown:

$M1=M2=1N-\frac{s^2}{m},B1=B2=1N-\frac{s}{m},K=1\frac{N}{m}$

B$)$ Determine

$\backslash$table$[[$Activities$,$Points$],[$Step $1,$Free body differential equation of mass M$1.,3\mathrm{.}0],[$Step $2,$Free body differential equation of mass M$2.,3\mathrm{.}0],[$Step $3,\backslash$table$[[$State and output equations of this system in matrix format,$],[$with $x_1(t),x_2(t)$ as output variables.$]],5\mathrm{.}0],[$Step $4,$Transfer functions $x_1\frac{s}{F}(s)$ and $x_2\frac{s}{F}(s).$ Initial conditions are zero.,$5\mathrm{.}0],[$Step $5,$Describe each step of the problem solution.,$2\mathrm{.}0],[$Step $6,$Square all the answers. Include their physical dimensions, if apply.,$2\mathrm{.}0]]$