Question: A tape recorder with a unity feedback speed control system has the loop transfer function K L(s) = Ge(s)G(s) s(s+ 1)(s + 10s + 24)*
A tape recorder with a unity feedback speed control system has the loop transfer function

K L(s) = Ge(s)G(s) s(s+ 1)(s + 10s + 24)* (a) Sketch a root locus for K, and show that the dom- inant roots are s = -0.41 j0.384, when K = 8. (b) For the dominant roots of part (a), calculate the settling time and overshoot for a step input.
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