Consider the diagram of the solenoid shown below and the simplified differential equation attempting to describe its motion. Answer the following questions. m dx(t) dt + D dx(t) dt - Ki(t) = 0 Explain the physical significance of the terms used in the equation. Express the above response as a transfer function of the form x(s) i(s) Q (s) = in Laplace space. Use the Final Value Theorem to demonstrate the system is unstable following a unit step-input function of 1 ampere. Explain your reasoning. How might you change the system to make it stable and better model the solenoid shown?