The amplitude of the steady-state solution of the DE y" +y +y= 3 cos (t) is A = 24. O True O False

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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The amplitude of the steady-state solution of the DE y" +y+y= 3 cos (t) is Ag = 24.
%3D
O True
False
Transcribed Image Text:The amplitude of the steady-state solution of the DE y" +y+y= 3 cos (t) is Ag = 24. %3D O True False
For a periodically forced system my" +2 y + ky = F cos (wt), the steady-state amplitude A, can
achieve a maximum (amplitude resonance) only if the damping is sufficiently small, specifically, if
2 < v2 k m.
%3D
True
False
Transcribed Image Text:For a periodically forced system my" +2 y + ky = F cos (wt), the steady-state amplitude A, can achieve a maximum (amplitude resonance) only if the damping is sufficiently small, specifically, if 2 < v2 k m. %3D True False
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