Q$3.$ Given the proportional feedback control loops shown below where:

Proportional controller gain $=2.G_m=G_m=G_f=1.,G_{**}(s)=\frac{2}{3s^2+3s+1}$

a$.$ Determine the equation for the response hat$(y)$

b$.$ Will the response be overdamped? Underdamped? explain why?

c$.$ Determine the offset due to step change of magnitude $5$ in disturbances