Problems 24 through 34 deal with a massspringdashpot system having position function x(t) satisfying Eq. (4). We

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Problems 24 through 34 deal with a mass–spring–dashpot system having position function x(t) satisfying Eq. (4). We write x0 = x(0) and v0 = x'(0) and recall that

The system is critically damped, overdamped, or underdamped, as specified in each problem.

Show that the local maxima and minima of 

occur where

Conclude that t2 - t1 = 2π/ω1 if two consecutive maxima occur at times t1 and t2.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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