According to Eq. (21), the amplitude of forced steady periodic oscillations for the system mx'' + cx'

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According to Eq. (21), the amplitude of forced steady periodic oscillations for the system mx'' + cx' + kx = F₀ cos ωt is given by

(a) If c ≧ c_cr/√2, where c_cr = √4km, show that C steadily decreases as ω increases.

(b) If c < c_cr/√2, show that C attains a maximum value (practical resonance) when

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Aug 18, 2023 02:40 AM

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According to Eq. (21), the amplitude of forced steady periodic oscillations for the system mx'' + cx'

Question:

C(w) = Fo √(k-mw²)² + (cw)²

Step by Step Answer:

a Therefore if c 2 c cr 2 2 2km it is clear from the numerator that C 0 for al...View the full answer

Differential Equations And Linear Algebra

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