For the system shown in Fig. P2.7, determine characteristic equation. Hence find the following when excitation is

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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.

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