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Unformatted text preview: MATH 251 Midterm Exam II July 20, 2006 Name: Student Number: Instructor: Section: This exam has 10 questions for a total of 100 points. There are 5 partial credit questions. 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 USE OF CALCULATORS IS NOT PERMITTED IN THIS EXAMINATION. At the end of the examination, the booklet will be collected. 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: Total: Do not write in this box. MATH 251 Summer 2006 Exam II 1. (8 points) Consider a mass-spring system described by the differential equation 2 u 00 + u + 8 u = 2 sin( t ) . Answer the following questions. (a) When = 0 what is the systems natural period , T ? (b) For what value(s) of will the system be critically damped ? (c) If = 4, is the system underdamped or overdamped? (d) (True of false) Resonance would occur if = 0 and = 2....
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