Q5) Given the denominator of a closed loop transfer function as expressed by the following expression:

S2 + 8S – 5Kcp + 20

The symbol Kcp denotes the proportional controller gain. You are required to work out the following:

5.2) Find the value for Kcp for a peak time Tp to be 1 sec and percentage overshoot of 70%

5.1) Find the boundaries of Kcp for the control system to be stable.