Let x(t) be the displacement of an object, attached to a vibrating vertical spring with one end fixer from the equilibrium position. Which of the following differential equations allows to model this mass-spring system in which the effect of mechanical resonance occurs? a) a" + 196x = -27sen(14t) b) x" + 196x' = -27sen(14t) c) a" – 196x = -27sen(14t) d) x" – 28x' + 196x = -27sen(14t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let x(t) be the displacement of an object, attached to a vibrating vertical spring with one end fixed,
from the equilibrium position. Which of the following differential equations allows to model this
mass-spring system in which the effect of mechanical resonance occurs?
a) x" + 196x =-27sen(14t)
b) a" + 196x' = -27sen(14t)
c) x"
196x = -27sen(14t)
-
d) æ" – 28x' + 196x = -27sen(14t)
Transcribed Image Text:Let x(t) be the displacement of an object, attached to a vibrating vertical spring with one end fixed, from the equilibrium position. Which of the following differential equations allows to model this mass-spring system in which the effect of mechanical resonance occurs? a) x" + 196x =-27sen(14t) b) a" + 196x' = -27sen(14t) c) x" 196x = -27sen(14t) - d) æ" – 28x' + 196x = -27sen(14t)
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