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For the system given below with the block diagram: a) Find the closed-loop transfer function C(s)/R(s) of the system when K = 0.025 and

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For the system given below with the block diagram: a) Find the closed-loop transfer function C(s)/R(s) of the system when K = 0.025 and T = 10 seconds. b) By determining the natural frequency (w) and damping ratio () for the K 0.025 value, explain the dynamic behavior that the system will exhibit. c) Find the velocity error constant and the steady-state error egs by finding the error transfer function E(s)/R(s). 1 (There's a block diagram showing a feedback control system with a proportional gain K, two transfer functions 0.51 and and a summing point where the reference input R(s) is compared with the output C(s) to generate an error signal.) 0.28-1'

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