The poles of the transfer function occur at s-9.81=0. Thus, the poles occur at s=-3.132,3.132. Since there is a root that exists in the RHP, the plant is unstable. B. The system is then controlled using a proportional controller with gain K The stability of the closed-loop system is determined using the root locus method. Imaginary Axis (seconds) 3 3 2 1 Root Locus System: G Gain: 7.21 Pole: 1.61 Damping: -1 Overshool (%): 0 Frequency (rad/s): 1.61 System. G Gain: 16.3 0 Pole: 0-2.541 Damping: 0 Overshant (%): 100 Frequency (radis): 2.54 1 2 3 Real Axis (seconds) Figure 2 Root locus plot of the closed-loop system. From the root locus plot in figure 2, it is evident that for K>9.81 unstable as the poles are on the imaginary axis; whereas for the system is marginally K