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complex numbers

mettula · 2007-10-14 00:19:52

Hello all, I have a little problem with the sum below; Using complex exponential notation show that vibration with “complex frequency” f = 2 + j(1/2pi) Hz is equivalent to vibration with exponentially decaying amplitude. a) Find time required for the amplitude to decrease to 1/e of its initial value. b) Assume zero initial…

14-10-2007 12:19am

#1

mettula

Closed Accounts Posts: 1 ✭

Join Date: September 2007

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Hello all, I have a little problem with the sum below;

Using complex exponential notation show that vibration with “complex frequency” f = 2 + j(1/2pi) Hz is equivalent to vibration with exponentially decaying amplitude.

a) Find time required for the amplitude to decrease to 1/e of its initial value.

b) Assume zero initial phase and initial displacement of 1cm and find the value of displacement measured in 1s after the motion was started.

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