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so we know that root locus is the sketch of closed loop poles as we change the gain in the system and we also remember that transient specifications as well as stability is mainly determined by the location of closed loopholes therefore to achieve a transient response specifications we can uh manipulate the root locus to achieve the required specifications in todays lecture we shall talk about a simple example to demonstrate that particular concept so we have this system given by this diagram so we have this system with negative feedback and k is a tunable parameter we want to determine that gain such that the closed loop system exhibits an overshoot of 4.33 for that purpose we shall sketch the root locus and uh if in the exam of course you will not have access to software tools therefore you have to draw the wood workers according to the scale so lets draw it so i am trying to draw it correctly you will have some geometrical tools and then you can draw it uh more accurately there i