(Solved): The open loop transfer function of a unity feedback control system is given b ...

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The open loop transfer function of a unity feedback control system is given by \[ G(S)=\frac{K}{(s+3)(s+1)\left(s^{2}+6 s+25\right)} \] 34. Find the values of \( K \) which will cause sustained oscillations in the closed - looped system. (A) \( 3993.6 \) (B) \( -75 \) (C) \( -118 \) (D) \( 399.36 \) 35. Find the oscillating frequency. (A) \( 11.8 \mathrm{rad} / \mathrm{sec} \) (B) \( 3.43 \mathrm{rad} / \mathrm{sec} \) (C) \( 0.547 \mathrm{rad} / \mathrm{sec} \) (D) \( 1.8 \mathrm{rad} / \mathrm{sec} \)