hw5 - MEEN 364 Fall 2004 Homework Set 5 Due October 7, 2004...

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MEEN 364 Homework Set 5 Fall 2004 September 30, 2004 Homework Set 5 – Due October 7, 2004 @ 5:00 PM 1. ( DC-Motor-Driven Hoist ) A d.c. motor driven lifting system is schematically depicted in Fig. 1 Fig. 1. d.c. motor driven lifting system A d.c. motor drives, through a rigid shaft with equivalent viscous damping coefficient, b , a large wheel of radius r and inertia which rotates with an angular velocity , J . J ω The wheel in turn winds up the flexible cable and pulls the mass m . The pulleys can be assumed to be massless and the shaft bearings of pulley can be assumed to be frictionless. The motor can in turn be modeled, as depicted in Fig. 2, m τ m a V bemf e a i a R Fig. 2. d.c. motor where the ideal d.c. motor transducer constitutive relations are ,, bemf e m bemf a m m eKe i τω == () mT a T e Ki K K . = = Assume that the input to the system is the voltage V a and the output is the mass velocity V m . Also assume that all elements are ideal and linear and neglect gravity. Since the circuit diagram does
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hw5 - MEEN 364 Fall 2004 Homework Set 5 Due October 7, 2004...

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