Using the data from the steady state dynamometer test $($assume dynamometer test was

performed at $1$ Volt input$)$ and the given values: $J_1=2kg*m^2,J_2=12kg*m^2,b_1=2\frac{(N)*(s)}{\text{r}\text{a}\text{d}},$

$b_2=12\frac{(N)*(s)}{\text{r}\text{a}\text{d}},N_1=50$ teeth, $N_2=100$ teeth $(R$ should drop out of the analysis$)$:

Construct the Block Diagram.

Find the transfer function considering ${}_2=\frac{d{}_2}{dt}$ as output and $V_{\text{A}\text{P}\text{P}\text{L}}$ as input.

Solve for ${}_2(t).$

Plot ${}_2(t)$ for $V_{\text{A}\text{P}\text{P}\text{L}}=1$ using MATLAB.