Consider the diagram of the solenoid shown below and the simplified differential equation attempting to describe...

 

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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? 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?

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In the given image we have a differential equation that models the motion of a solenoid mfracd2xtdt2 Dfracdxtdt Kit 0 Physical significance of the ter... View the full answer