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Unformatted text preview: T = 2 π ω , i.e., F ( t + T ) = F ( t ) for all t . F ( t ) is deFned by F ( t ) = ‰ A if < t < . 1 T if . 1 T < t < T where A is a constant. Express F ( t ) in the form of a ±ourier series. (You may Fnd either the exponential form or the sine + cosine form. As usual, I recommend the exponential form since it is easier.) 4 5. [6 pts] The function F ( t ) is periodic with period T = 2 π ω , i.e., F ( t + T ) = F ( t ) for all t , where F ( t ) is deFned by F ( t ) = ‰ A if < t < . 1 T if . 1 T < t < T where A is a constant. (This F ( t ) is the same as in the preceeding problem.) What values of T will make the solution to the equation ¨ x + 0 . 02 ˙ x + x = F ( t ) oscillate strongly? Explain your answers, but no detailed calculations are necessary. You do not need to use your detailed answer to the previous question. 5...
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 Spring '08
 B.Pope
 Physics, mechanics, Energy, Mass, Periodic function, pts, Total Energy, exponential form

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