Question: Determine to what value the gain K should be changed to make this closed-loop system stable if, for K = 10 +1, the gain margin

Determine to what value the gain K should be changed to make this closed-loop system stable if, for K=10+1, the gain margin of the system is negative and equal to -20dB,
Sine wave with magnitude of 0.5(1+10) units and frequency of (1+10) rad/sec was applied to the input of the system presented in Figure Q2.2.

Discuss how you will determine the magnitude of sine wave at the output of this system and phase lag (in degrees) between input and output sine waves.
Plant R(S) E(S) U(s) YS) G(s) Figure Q2.1 u(1) y(t) dy(t) + y(t) = u(t) dt Figure Q2.2
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