$\backslash$table$[[$Parameter$,$Value$],[$Mass of cart, $M,[kg],3\mathrm{.}0],[$Mass of rod, $m,[kg],1\mathrm{.}5],[$Length of rod, $l,[m],1\mathrm{.}3],[$Inertia of rod, I,$[kg{m}^2],1\mathrm{.}1],[$Friction constant, $b,[Nms],0\mathrm{.}75]]$

Table $2$: Problem specific parameters.

$(M+m)x^{}+b{x}^{}-ml{}^{}=u,$

$(I+m{l}^2){}^{}-mgl-ml{x}^{}=0.$

b$)(20$ pts$.)$ Obtain transfer functions $G_1(s)=\frac{s}{u}(s)$ and $G_2(s)=x\frac{s}{u}(s),$ draw the root locus $($either manually or by using Matlab rlocus function$)$ clearly for each of them. i want the steps in detail