Name

Work all problems.

$1.$

i$)$ Consider the system in figure where $G_c(s)=10,H(s)=1,$ and $50$

If the input $R(s)$ is a unit step input, $T_d(s)=0,$ and $N(s)=0,$ the final value of the output is:

a$.100,$

b$.1,$

c$.50,$

d$.$ None of the above

ii$)$ Consider the differential equation $d^2\frac{y}{d}{t}^2+2d\frac{y}{d}t+y=u,$ where $y(0)=dy\frac{0}{d}t=0$ and $u(t)$ is a unit step. The poles of the system are:

a$.-1,-1$

b$.$ j$,$ j

c$.-1,-2$

d$.$ None of the above