(Solved): *** Please provide explanations for each part and screenshots from matlab Consider the transfer ...

*** Please provide explanations for each part and screenshots from matlab

Consider the transfer function between the input force and output displacement of mass-damperspring system: $$G(s)=\frac{X(s)}{F(s)}=\frac{1}{m{s}^2+bs+k}$$ where $$m=1$$ and $$k=25$$. (a) Identify the range of values of $$b$$ for which the poles are (i) real and distinct, (ii) real and repeated, and (iii) complex conjugate. (b) Pick up one value from each range and obtain the output $$x(t)$$ for each case for a unit impulse input, after computing the residues with the residue() command. (c) For the values of $$b?[5,15]$$ with increments of one, please superimpose the impulse responses of this system in a single figure and briefly discuss how changes in $$b$$ affects the shape of the response.