Problem : A membrane of uniform density a per unit arca is stracthed on a Circular frame of radius a' to uniform stress ac? , where at t = 0 fthe membrane is released from rest in the position u = €(a² – r2) , where ɛ is small and r is the distance from the centre. Show that the displacement of the centre at time t is 8ea? E cos (En ) =1 Ji(En)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem : A membrane of uniform density a per
unit arca is stracthed on a Circular frame of radius
a' to uniform stress ac? , where at t = 0 fthe
membrane is released from rest in the position
u = € (a? – r2) , where e is small and r is the distance
-
from the centre. Show that the displacement of
cos(Sa 은)
n=1 eJ(En)
the centre at time t is 8ea² 0
Transcribed Image Text:Problem : A membrane of uniform density a per unit arca is stracthed on a Circular frame of radius a' to uniform stress ac? , where at t = 0 fthe membrane is released from rest in the position u = € (a? – r2) , where e is small and r is the distance - from the centre. Show that the displacement of cos(Sa 은) n=1 eJ(En) the centre at time t is 8ea² 0
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