M251ex2(sp10)

# M251ex2(sp10) - MATH 251 Examination II Name Student Number...

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MATH 251 Examination II April 7, 2010 FORM A Name: Student Number: Section: This exam has 10 questions for a total of 100 points. In order to obtain full credit for partial credit problems, all work must be shown. For other problems, points might be deducted, at the sole discretion of the instructor, for an answer not supported by a reasonable amount of 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 thru 4: 5: 6: 7: 8: 9: 10: Total: Do not write in this box.

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MATH 251 EXAMINATION II April 7, 2010 1. (5 points) A mass-spring system is initially resting at its equilibrium position with no forces acting on it. Between times t = 2 and t = 5 seconds a constant external downward force of 10 Newtons is applied. At t = 6 seconds the mass is struck with a hammer in such a fashion that an upward momentum of magnitude 20 kg-m/s is introduced to the system at that time. Given that the downward direction is positive, which of the following F ( t ) represents the combination of these two forces?
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