Question: ( a ) The control system in Figure 1 has an unknown gain K . Derive its closed - loop transfer function and determine the

(a) The control system in Figure 1 has an unknown gain K. Derive its closed-loop transfer function and determine the value of K, if any, such that it has an undamped oscillation frequency of n=5.0radsec. Compute also the corresponding damping ratio .
Figure 1
( a ) The control system in Figure 1 has an

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