Question: Problem 2 . ( 4 0 pts ) For the system of two interacting tanks in Figure 2 , derive a second - order differential

Problem 2.(40 pts) For the system of two interacting tanks in Figure 2, derive a second-order differential
equation that relates the second tank level (h2) to the feed flow rate (Fin). Calculate the steady state gain
(K), the natural period of oscillation (), and the damping factor () for this system. Is the system
overdamped, critically damped, or underdamped?
Figure 2
Problem 2.(40 pts) For the system of two interacting tanks in

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