Question: For the system shown in Fig. P2.7, determine characteristic equation. Hence find the following when excitation is a unit step ; (a) undamped natural frequency

For the system shown in Fig. P2.7, determine characteristic equation. Hence find the following when excitation is a unit step ;
(a) undamped natural frequency
(b) damped frequency of oscillation
(c) damping ratio and damping factor
(d) maximum overshoot
(e) settling time.
( $f$ ) number of cycles before the response is settled within $2 \%$ of its final value.
(g) Time interval after which maxima \& minima will occur.

R(S) 20 1.2 s(s+ 1) (0.2s + 1) S 8 6 C(s)

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