y" + cy=sin(2t). (a) For what value of c does resonance occur? Compute the solution at resonance with y(0) = 1 and y'(0) = 0. (b) For what values of c is there a beat with frequency 0.1 Hz? (The beat frequency is defined is the natural frequency of the spring and w is the forcing frequency.) as |- ; μw rad/s where 2 fl 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Consider the undamped spring equation
y" + cy= sin(2t).
(a) For what value of c does resonance occur? Compute the solution at resonance with y(0) = 1
and y'(0) = 0.
(b) For what values of c is there a beat with frequency 0.1 Hz? (The beat frequency is defined
as rad/s where is the natural frequency of the spring and w is the forcing frequency.)
۳-w
2
1
Transcribed Image Text:5. Consider the undamped spring equation y" + cy= sin(2t). (a) For what value of c does resonance occur? Compute the solution at resonance with y(0) = 1 and y'(0) = 0. (b) For what values of c is there a beat with frequency 0.1 Hz? (The beat frequency is defined as rad/s where is the natural frequency of the spring and w is the forcing frequency.) ۳-w 2 1
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