Highlights
Consider the electromechanical system in Figure 3. The input voltage ea(t) results in a current ia through the solenoid coil and a corresponding voltage drop vs. Due to the magnetic field generated by the current, the solenoid coil produces a force Fs on the massless rod that forms the core of the solenoid, which acts in the direction shown in the figure when the current is positive. The rod is connected to a mass in as shown in the figure. While the dynamics of solenoids are typically nonlinear, you can use the following linearized model for the solenoid:



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