The position of a certain spring-mass system satisfies the initial value problem3zu" + ku= 0, u(0) = 2, u'(0) = v.If the period and amplitude of the resulting motion are observed to be and3, respectively, determine the values of k and v.

The given equation is ,where (say) Therefore,…

Answered: The position of a certain spring-mass…

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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The position of a certain spring-mass system satisfies the initial value problem 3 u" + ku= 0, u(0) = 2, u'(0) = v. If the period and amplitude of the resulting motion are observed to be and 3, respectively, determine the values of k and v.