me375_sp11_hwk08

me375_sp11_hwk08 - ME 375 Spring 2011 Homework No. 8 Due:...

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ME 375 – Spring 2011 Homework No. 8 Due: Friday, March 25 th Problem No. 1 (30%) For the circuit shown below: (a) Use the time domain modeling method to obtain the equation of motion (EOM) relating input v in and output i 2. (b) Use the impedance method to obtain the transfer function relating input v in and output i 2, then obtain the equation of motion with input v in and output i 2. Compare your results with the one obtained in (a). (c) Let the output be v c instead, which is the voltage across the capacitor. What’s the transfer function relating input v in and output v c ? Problem No. 2 (30%) Assume that a DC motor is directly driving a load as shown below. The motor has a Back-EMF constant b K , a torque constant T K , an armature inductance a L , and an armature resistance a R . The rotor has an inertia A J and a damping constant B . The load has an inertia L J and a viscous damping constant L B . The motor and load are connected by a shaft with a spring constant L K .
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me375_sp11_hwk08 - ME 375 Spring 2011 Homework No. 8 Due:...

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