2016-Fall-ME501-Homework-07-Solutions (1).pdf

# 2016-Fall-ME501-Homework-07-Solutions (1).pdf - 2016 Fall...

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Unformatted text preview: 2016 Fall Semester ME 501 Mechanical Engineering Analysis Homework, Part 7: Fourier analysis Solutions 1. Find the Fourier series for the given function which is assumed to have the period 2 . Solution: 2 sin 0, 2 cos sin /4 given at the interval 2 1 2. Find the Fourier series of a function Solution: 4 , 3 4 cos 2 cos , 2 0 2 . 3. Find half‐range expansions (both Fourier cosine and sine series) for the non‐periodic function given in the interval 0 4 by the plot Solution: 1. Half‐range expansion for the even extension 0, 2 1 sin 1 2 2 cos 4 2. Half‐range expansion for the odd extension 0, 2 cos sin cos 2 4 ...
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