A taut string of length L has its ends x=0, x= L fixed. The midpoint of the string is drawn aside a small distance ʼn and released at time t = 0. Obtain the displacement of the string at any subsequent time / > 0. Leave your answer in terms of sin(mm/2).
A taut string of length L has its ends x=0, x= L fixed. The midpoint of the string is drawn aside a small distance ʼn and released at time t = 0. Obtain the displacement of the string at any subsequent time / > 0. Leave your answer in terms of sin(mm/2).
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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![(c) A taut string of length L has its ends x=0, x= L fixed. The midpoint of the
string is drawn aside a small distance h and released at time t = 0. Obtain the
displacement of the string at any subsequent time / > 0.
Leave your answer in terms of sin(mm/2).
Hint
[(L-x) sin(mx/L)dx=-L/(n²r² )[Lsin(mx/L) + n(L-x) cos(mx/L)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F803f58d8-6f13-46a9-b20c-f2652ac30f86%2Fad80dd30-545a-4be6-a851-7d419fd7298a%2Fz0kwgoe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) A taut string of length L has its ends x=0, x= L fixed. The midpoint of the
string is drawn aside a small distance h and released at time t = 0. Obtain the
displacement of the string at any subsequent time / > 0.
Leave your answer in terms of sin(mm/2).
Hint
[(L-x) sin(mx/L)dx=-L/(n²r² )[Lsin(mx/L) + n(L-x) cos(mx/L)]
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