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Unformatted text preview: ME 360: Modeling, Analysis, and Control of Dynamic Systems Professors Peng and Tilbury University of Michigan Fall 2006 Exam # 1 Thursday, October 12, 2006 This exam is closed book and closed notes. One sheet of notes (8.5 × 11), both sides, and a calculator are allowed. Honor Code: 1 Signature: Name: Student ID number: Circle one: Section 1 (Peng) Section 2 (Tilbury) Scores: Problem 1 10 points Problem 2 25 points Problem 3 15 points Problem 4 25 points Problem 5 25 points total 100 points Write your answers in the spaces provided on the exam. If you use the backs of the pages or extra sheets, provide a note and/or arrows to point out the location of your solution. Note that the last page of this exam contains some Laplace transform tables that you may find useful. 1 Please write out in longhand: “I have neither given nor received aid on this exam, nor have I concealed any violation of the honor code.” 1. (10 points) For each time function f a ( t ) , f b ( t ) , f c ( t ) (as shown in the three plots), choose the Laplace transform that it corresponds to (one of F 1 ( s ) , . . . , F 9 ( s ))....
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