Q$)$ for the control system shown in Figure

a$-$ Use the block diagram template $($on the next page$)$ and construct the system block diagram using the

following equations that describe the speed control system.

b$-$ By ignoring the external disturbance $t_L,$ simplify the system block diagram to a one$-$block TF representation.

System equations:

$z(s)=C_2{N}_{in}(s)$

$x(s)=(kz-C_4{N}_o)(\frac{1}{k-C_r{C}_3})$

where $k$ is the spring stiffness

$y(s)=x(s)\frac{C_7}{1+T_{1}s}$

$Q(s)=C_{5}y(s)$

$N_o(s)=\frac{C_6}{1+T_{2}s}(Q(s)-C_8{t}_L(s))$

Where, $t_L$ is the external disturbance.

$N_{in}$ is the input or the desired speed.

$N_o$ is the output speed.

$C_2,C_3,C_4,C_5,C_6,C_7,C_r,T_1,T_2$ are constants