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A mombrane of uniform density a per unit arca is stracthed on a Circular frame of radius a' to uniform stress ac², where at 0 J the membrane is released from e (a² – r²). t rest in the position u = E - where e is S mall and r is the distance from the centre. Show that the displacement of the centre at time t is cos (§, & ) cos (En * 8ea² En=1 a

A mombrane of uniform density a per unit arca is stracthed on a Circular frame of radius a' to uniform stress ac², where at 0 J the membrane is released from e (a² – r²). t rest in the position u = E - where e is S mall and r is the distance from the centre. Show that the displacement of the centre at time t is cos (§, & ) cos (En * 8ea² En=1 a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A mombrane of uniform density a per unit arca is stracthed on a Circular frame of radius a' to uniform stress ac², where at t = 0 J the membrane is released from €(a² – r²), rest in the position u = ɛ .2 Ela where e is S mall and r is the distance from the centre. Show that the displacement of the centre at time t is * 8ea? En=1 ((n) cos (§, 4) cos (En a n=1J(En)
Transcribed Image Text:A mombrane of uniform density a per unit arca is stracthed on a Circular frame of radius a' to uniform stress ac², where at t = 0 J the membrane is released from €(a² – r²), rest in the position u = ɛ .2 Ela where e is S mall and r is the distance from the centre. Show that the displacement of the centre at time t is * 8ea? En=1 ((n) cos (§, 4) cos (En a n=1J(En)
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