Uniform shaft is fixed at one end and free in other end, if 020 t> 0 дх2 (0.0) 020 д12 0(0, 1) = 0, = a² дө ?х 0 0, дө - 1 0(x,0) = x, 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 16CR
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advanced engingeering (the subject of partial differential equations)
Uniform shaft is fixed at one end and free in other end, if
020
0<x<1, t>0
дх2
(0.0)
= 0 at t > 0,
020
д12
0(0, 1) = 0,
=
a²
дө
x = 1
- 1
0(x,0) = x
0<x<1
дх
Determine the angular displacement (0), as a function of x and t?
?х
дө
= 0 at t = 0,
11
(1,0)
Transcribed Image Text:Uniform shaft is fixed at one end and free in other end, if 020 0<x<1, t>0 дх2 (0.0) = 0 at t > 0, 020 д12 0(0, 1) = 0, = a² дө x = 1 - 1 0(x,0) = x 0<x<1 дх Determine the angular displacement (0), as a function of x and t? ?х дө = 0 at t = 0, 11 (1,0)
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