The open-loop transfer function of a unity feedback control system is given by: [ G(s)=frac{K}{s(1+tau s)} ]

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The open-loop transfer function of a unity feedback control system is given by:

\[ G(s)=\frac{K}{s(1+\tau s)} \]

(a) By what factor the gain be multiplied so that damping ratio is increased from 0.2 to 0.8 ?

(b) By what factor the constant \(\tau\) should be multiplied so that the damping ratio is reduced from 0.6 to 0.3 ?

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