tilbury exam2 ME360 - ME 360: Modeling, Analysis, and...

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Unformatted text preview: ME 360: Modeling, Analysis, and Control of Dynamic Systems Professor Tilbury (Section 2), University of Michigan, Winter 2009 Exam 2: Thursday, April 2, 12:402:30pm in different rooms than Exam 1! Last names AH: 1012 FXB Last names JZ: 2211 GGB The exam is closed book and closed notes, no calculators are allowed. One sheet of notes (8.5 11), both sides, is allowed. A Laplace transform sheet consisting of pages 1921 from Ogata will be provided on the exam. 1. (15 points) For the three step responses, choose the transfer function that matches it. 0.5 1 1.5 2 0.2 0.4 0.6 0.8 1 1.2 Time (seconds) Step response a 0.5 1 1.5 2 0.5 1 1.5 2 2.5 3 Time (seconds) Step response b 0.5 1 1.5 2 0.2 0.4 0.6 0.8 1 1.2 Time (seconds) Step response c H 1 ( s ) = 10 s + 3 s + 3 H 4 ( s ) = 25 s 2 + 6 s + 25 H 2 ( s ) = 3 s + 3 H 5 ( s ) = 1 s 2 + 6 s + 25 H 3 ( s ) = 1 s + 3 H 6 ( s ) = 25 s + 25 s 2 + 6 s + 25 2. (15 points) Shade (or use cross-hatching) to indicate the s domain region(s) in which the poles of the transfer function G ( s ) = 2 n s 2 + 2 n s + 2 n will achieve all of the following step response requirements: (a) overshoot...
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This note was uploaded on 09/23/2009 for the course MECHENG MEcheng360 taught by Professor Ulsoy during the Winter '09 term at University of Michigan.

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tilbury exam2 ME360 - ME 360: Modeling, Analysis, and...

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