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Question 1 a) Sketch the root locus for the control system shown in Figure 1 below. Calculate the breakout value of K and its location. Comment on the stability of the system. b) If the control system in Figure 1 is modified by addition of an open loop pole at S = -8. 1. Calculate the new breakout point and determine the corresponding value of K. 2. Find the value of K at which the root locus will cut the imaginary axis 3. Sketch the new root locus. + K s(+4)