dsc_hw_2_w09 - Homework Set#2 MAE 3600 Dynamic Systems and...

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Homework Set #2: MAE 3600 – Dynamic Systems and Control, Winter 2009 Due date: Friday, February 13, 2009 Problem 1 . An electrical circuit is shown below. Derive a model in terms of the appropriate dynamic variables. The voltage source provides the input voltage e in ( t ). Problem 2 . An electrical circuit is shown below. Derive a model in terms of the appropriate dynamic variables. The current source provides the input current i in ( t ).
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Problem 3 . A high-speed proportional solenoid actuator valve is shown below: This sort of actuator is used in electrohydraulic systems to position spool valves for metering flow. Current flows through the coil of wire and generates a magnetic field, which produces an attractive force between the opposing stator and armature pole pieces. The armature therefore moves a push-pin which acts directly on the spool valve with force F . Displacement of the spool-valve is x , and actuator force F and displacement x are both positive to the left. A return spring ( k
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