A certain vibrating system satisfies the equation u" + yu' +u = 0. Find the value of the damping coefficient y for which the quasi period of the damped motion is 59% greater than the period of the corresponding undamped motion.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A certain vibrating system satisfies the equation
u" + yu' + u = 0. Find the value of the damping
coefficient y for which the quasi period of the
damped motion is 59% greater than the period of
the corresponding undamped motion.
Round you answer to three decimal places.
Y =
i
Transcribed Image Text:A certain vibrating system satisfies the equation u" + yu' + u = 0. Find the value of the damping coefficient y for which the quasi period of the damped motion is 59% greater than the period of the corresponding undamped motion. Round you answer to three decimal places. Y = i
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