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Consider a vibrating guitar string of length L = 648mm that satisfies the wave equation Uxx = Utt, 0 < x < 648, The ends of the string are of course fixed. Suppose the string is pulled back and released (i.e. plucked) setting it in motion from the initial position x/18, 36x/18, but with no initial velocity. Find the displacement u(x, t). u(x, 0) = f(x) = t> 0 0≤x≤ 324 324 < x < 648

Consider a vibrating guitar string of length L = 648mm that satisfies the wave equation Uxx = Utt, 0 < x < 648, The ends of the string are of course fixed. Suppose the string is pulled back and released (i.e. plucked) setting it in motion from the initial position x/18, 36x/18, but with no initial velocity. Find the displacement u(x, t). u(x, 0) = f(x) = t> 0 0≤x≤ 324 324 < x < 648

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Guitar String


1. Guitar String Consider a vibrating guitar string of length L = 648mm that satisfies the wave equation u(0,t)=0 Uxx = Uttr 0 < x < 648, The ends of the string are of course fixed. Suppose the string is pulled back and released (i.e. plucked) setting it in motion from the initial position x/18, 36x/18, but with no initial velocity. Find the displacement u(x, t). u(x,0) = f(x) = t> 0 0≤x≤ 324 324 < x ≤ 648 u(648,t)=0
Transcribed Image Text:1. Guitar String Consider a vibrating guitar string of length L = 648mm that satisfies the wave equation u(0,t)=0 Uxx = Uttr 0 < x < 648, The ends of the string are of course fixed. Suppose the string is pulled back and released (i.e. plucked) setting it in motion from the initial position x/18, 36x/18, but with no initial velocity. Find the displacement u(x, t). u(x,0) = f(x) = t> 0 0≤x≤ 324 324 < x ≤ 648 u(648,t)=0
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