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Let x(t) be the displacement of an object, attached to a vibrating vertical spring with one end fixe 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) z" – 144x = -21sen(12t) b) z" + 144a' = –21sen(12t) c) æ" – 24x' + 144x = -21sen(12t) d) æ" + 144x = -21sen(12t)

Let x(t) be the displacement of an object, attached to a vibrating vertical spring with one end fixe 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) z" – 144x = -21sen(12t) b) z" + 144a' = –21sen(12t) c) æ" – 24x' + 144x = -21sen(12t) d) æ" + 144x = -21sen(12t)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) a" 144x = -21sen(12t) %3D | b) z" + 144x' = -21sen(12t) c) a" – 24x' + 144x = -21sen(12t) d) a" + 144x = -21sen(12t)
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) a" 144x = -21sen(12t) %3D | b) z" + 144x' = -21sen(12t) c) a" – 24x' + 144x = -21sen(12t) d) a" + 144x = -21sen(12t)
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