JA string of length l has a zero initial velocity and a displacement yo(x) as shown. (This ini- tial displacement might be caused by stopping the string at the center and plucking half of it.) Find the displacement as a function of x and t. yolx)| L/2 8h > Bn sin nTvt COS = (2 sin na/4 - sin na/2)/n. Answer: y : where Bn n=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer number 3

A string of length l has a zero initial velocity
and a displacement yo (x) as shown. (This ini-
tial displacement might be caused by stopping
the string at the center and plucking half of it.)
Find the displacement as a function of x and t.
2.
yo(x)|
/2
8h
y =
NTvt
Answer:
Bn sin
where Bn = (2 sin na/4 – sin nn/2)/n².
COS
n=1
3.
Solve Problem 2 if the initial
yolx) |
displacement is:
4.
Solve Problem 2 if the initial
yolx)
displacement is:
1/2
1.
jh
Transcribed Image Text:A string of length l has a zero initial velocity and a displacement yo (x) as shown. (This ini- tial displacement might be caused by stopping the string at the center and plucking half of it.) Find the displacement as a function of x and t. 2. yo(x)| /2 8h y = NTvt Answer: Bn sin where Bn = (2 sin na/4 – sin nn/2)/n². COS n=1 3. Solve Problem 2 if the initial yolx) | displacement is: 4. Solve Problem 2 if the initial yolx) displacement is: 1/2 1. jh
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