Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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
See similar textbooks
icon
Related questions
Question

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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS