Q.2. Uniform shaft is fixed at one end and free in other end, if a20 a20 a? 0 0 %3D (0,0) (1,0) ae 3D0 at t>0, ax 0(0,1) = 0, x = 1 0(x, 0) = x, = 0 at t = 0, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q.2.
Uniform shaft is fixed at one end and free in other end, if
0 <x< 1, t>0
(0.0)
(1,0)
0(0,1) = 0,
= 0 at t>0,
x = 1
0(x, 0) = x,
=D 0 at t = 0,
dx
0 <x<1
Determine the angular displacement (e), as a function of x and t?
%3D
Transcribed Image Text:Q.2. Uniform shaft is fixed at one end and free in other end, if 0 <x< 1, t>0 (0.0) (1,0) 0(0,1) = 0, = 0 at t>0, x = 1 0(x, 0) = x, =D 0 at t = 0, dx 0 <x<1 Determine the angular displacement (e), as a function of x and t? %3D
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