For the below given closed-loop system with the cascaded gain and transfer functions: K, (5+2). Perform...

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For the below given closed-loop system with the cascaded gain and transfer functions: K, (5+2). Perform the following: G₁ (S) = (5+5) G₂ (S) = (5+5), G3 (5) = { (+5) G3 (S) = (s+7)* a. Find a value of K to yield static position error constant of K₂ = 10,000, and if such a K exists, note if the system will be stable or not. b. Find a value of K to yield static position error constant of K, = 10,000, and if such a K exists, note if the system will be stable or not. c. Find a value of K to yield static position error constant of K = 10,000, and if such a K exists, note if the system will be stable or not. R(s) E(s) K G₁ (s) G₂ (S) G3(S) C(s) For the below given closed-loop system with the cascaded gain and transfer functions: K, (5+2). Perform the following: G₁ (S) = (5+5) G₂ (S) = (5+5), G3 (5) = { (+5) G3 (S) = (s+7)* a. Find a value of K to yield static position error constant of K₂ = 10,000, and if such a K exists, note if the system will be stable or not. b. Find a value of K to yield static position error constant of K, = 10,000, and if such a K exists, note if the system will be stable or not. c. Find a value of K to yield static position error constant of K = 10,000, and if such a K exists, note if the system will be stable or not. R(s) E(s) K G₁ (s) G₂ (S) G3(S) C(s)