For the following mechanical system shown in Fig-4 a) Write the differential equations that model the...

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For the following mechanical system shown in Fig-4 a) Write the differential equations that model the system b) Find the transfer function X2(s)/F(s) B₂ M₂ eeee M₁ Fig-4 elle K(s + 4) s(s+1.2) (s + 2) K₂ For a unity feedback control system with G(s) = Sketch the root locus showing all details. Determine the range of K that keeps the system stable. And determine the values of K that makes the system to oscillate and the frequency of oscillation For the following mechanical system shown in Fig-4 a) Write the differential equations that model the system b) Find the transfer function X2(s)/F(s) B₂ M₂ eeee M₁ Fig-4 elle K(s + 4) s(s+1.2) (s + 2) K₂ For a unity feedback control system with G(s) = Sketch the root locus showing all details. Determine the range of K that keeps the system stable. And determine the values of K that makes the system to oscillate and the frequency of oscillation