motion with a frequency of

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A guitar string is pulled at point Pa distance of 3 cm above its rest position. It is then released and vibrates in damped harmonic
motion with a frequency of 165 cycles per second. After 1 s, it is observed that the amplitude of the vibration at point P is 0.3 cm.
(a) Find the damping constant c. (Round your answer to two decimal places.)
C =
(b) Using the values given above, find an equation that describes the position of point P above its rest position as a
function of time. Take t = 0 to be the instant that the string is released. (Round your coefficients to two decimal places.)
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Transcribed Image Text:A guitar string is pulled at point Pa distance of 3 cm above its rest position. It is then released and vibrates in damped harmonic motion with a frequency of 165 cycles per second. After 1 s, it is observed that the amplitude of the vibration at point P is 0.3 cm. (a) Find the damping constant c. (Round your answer to two decimal places.) C = (b) Using the values given above, find an equation that describes the position of point P above its rest position as a function of time. Take t = 0 to be the instant that the string is released. (Round your coefficients to two decimal places.) Need Help? Read It
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Given, a guitar string at point P a distance of 3cm above its rest position. it is then released and vibrates in damped harmonic motion with a frequency of 165 cycles per second. After 1 s, it is observed that the amplitude of the vibration at point P is 0.3cm

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