The root locus method can be used to study the stability of a motorcycle and rider combination. Analysis of a motorcycle/rider system must include a model of the rider in addition to the handling characteristics of the motorcycle. For this analysis, the approximate human model to be used for the system shown in the block diagram is (s+0.1Xs +10) Desired direction Human transfer function Actual direction Motorcycle dynami G,(s) s0.96 (1) Construct the root locus diagram of this motorcycle/rider system assuming that the rider is a "beginner" and hence his/her anticipation is very small1. The "zero" term (s + A) can be neglected in the numerator of Gr(s). Determine the allowable range of K for stability (ii) Construct the root locus diagram of this motorcycle/rider system assuming that the rider has gained experience, and the anticipation ternm is finite. Assume A Determine the allowable range of K for stability (iii) What conclusions can you draw by comparing the allowable range of (iv) For both systems(i and (ii), choose a value of K that you assess to give (v) Explain the reason(s) for your choice of K in (iv) above stable gains in parts (i) and (ii)'? "good" control by plotting the time response of the motorcycle/rider to a step change in the desired direction