Neat answers please: Show all work and reasoning. 4: (38 pts) Given the followin

Question

Neat answers please: Show all work and reasoning.

4: (38 pts) Given the following root locus plot: Root Locus System sys Gain 102 Poir-00006 . 707i 10 0972 0945 B 0.78 0s Damping: 0 0137 Overshoot (%) 05.8 Frequency fradis 7 07 0395 System: sys Gain: 35.6 Pole.-234 Damping: 1 System: sys Gain: 24.1 Pale:-7.07 Damping:1 Overshoot (%): O Frequency (rad/s): 707 4 Frequency (radis) 234 40 Frequency (radis; 234 50 System sys Gain 358 Pole -2.14 Damping 1 Overshoot ow Frequency fradis) 2.14 0 999 0.988 0 972 08 078 05 0945 10 80 40 -10 10 Real Axis (seconds) (18 pts) 4.1) On the above root locus, label the regions for which the system exhibits, (if they exist): . unstable response second order dominate under-damped response second order dominate critical damped response second order dominate undamped/marginally damped response . second order dominate over-damped response . first order response e higher order response . portions of the locus that do not provide major contributions to the time response.

Explanation / Answer

Unstable Response - Right Side trace of imaginary Axis(Vertical axis); Second Order dominate Under-damped Response - left side circular trace between -10 and 0; Second Order dominate Critical-damped Response - left side trace point where trace cut horizontal axis or real axis;Second Order dominate Undamped Response - point on vertical or imaginary axis where trace cut it;

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