The centre point of a perfectly elastic string stretched between two points A and B, 4 m apart, is deflected a distance 0.01 m from its position of rest perpendicular to AB and released initially with zero ²u1 u x2 = c² at ² where c = 10 to velocity. Apply the wave equation determine the subsequent motion of a point P distant x from A at time t.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 1
The centre point of a perfectly elastic string stretched between two
points A and B, 4 m apart, is deflected a distance 0.01 m from its
position of rest perpendicular to AB and released initially with zero
2²u 1 2²u
velocity. Apply the wave equation
where c= 10 to
c² at²
determine the subsequent motion of a point P distant x from A at time t.
Əx²
-
Transcribed Image Text:Question 1 The centre point of a perfectly elastic string stretched between two points A and B, 4 m apart, is deflected a distance 0.01 m from its position of rest perpendicular to AB and released initially with zero 2²u 1 2²u velocity. Apply the wave equation where c= 10 to c² at² determine the subsequent motion of a point P distant x from A at time t. Əx² -
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