M251ex2(su07) - MATH 251 Examination II July 30, 2007 Name:...

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MATH 251 Examination II July 30, 2007 Name: Student Number: Section: This exam has 9 questions for a total of 100 points. In order to obtain full credit for partial credit problems, all work must be shown. Credit will not be given for an answer not supported by work. The point value for each question is in parentheses to the right of the question number. A table of Laplace transforms is attached as the last page of the exam. Please turn off and put away your cell phone. You may not use a calculator on this exam. 1: 2: 3: 4: 5: 6: 7: 8: 9: Total: Do not write in this box.
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MATH 251 EXAMINATION II July 30, 2007 1. (14 points) Consider a mass-spring system described by the equation 3 u ′′ + 12 u + ku = 0 , k > 0 . Answer the following questions. Be sure to justify your answer. Full credit will not be given without supporting work. (a) For what value(s) of k would the system be overdamped ? (b) When k = 12, determine whether the system is over-, under-, or critically damped.
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This note was uploaded on 07/23/2008 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.

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M251ex2(su07) - MATH 251 Examination II July 30, 2007 Name:...

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