The Duffing oscillator with mass m is described by the non-linear second order DE d? x de + ax + Bx° = y sin (wt), where [x] = L and [t] = = T. Calculate the dimensions of a, B, y and w. Answer: [a = %3D [B] = (w] = ||

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Chapter1: Units, Trigonometry. And Vectors
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The Duffing oscillator with mass m is described by the non-linear second order DE
d?
3
+ ax + Bx° = y sin (wt),
dt?
where [x] = L and [t] = T. Calculate the dimensions of , B, y and w.
Answer: a
[B] =
[w] =
||
Transcribed Image Text:The Duffing oscillator with mass m is described by the non-linear second order DE d? 3 + ax + Bx° = y sin (wt), dt? where [x] = L and [t] = T. Calculate the dimensions of , B, y and w. Answer: a [B] = [w] = ||
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