Problems 39 and 40 illustrate two types of resonance in a massspringdashpot system with given external force
Question:
Problems 39 and 40 illustrate two types of resonance in a mass–spring–dashpot system with given external force F(t) and with the initial conditions x(0) = x'(0) = 0.
Suppose that m = 1, k = 9.04, c = 0.4, and F(t) = 6e-t/5 cos 3t. Derive the solution
Show that the maximum value of the amplitude function A(t) = te-t/5 is A(5) = 5/e. Thus (as indicated in Fig. 10.3.5) the oscillations of the mass increase in amplitude during the first 5 s before being damped out as t → + ∞.
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x04x 904xx 5 25 226 X s 25 ...View the full answer
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Related Book For 
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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