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Partial Solns Manual - Andy Ruina

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26 Chapter 9.4. Coupled motion in 1D Problem 9.4.14The primary emphasis of this sectionis setting up correct differential equations(without sign errors) and solving theseequations on the computer.9.4.14 x 1 .t/ and x 2 .t/ are measured positionson two points of a vibrating structure.x 1 .t/ is shown. Some candidatesfor x 2 .t/ are shown. Which of the x 2 .t/could possibly be associated with a normalmode vibration of the structure? Answer“could” or “could not” next to each choiceand briefly explain your answer (If a curvelooks like it is meant to be a sine/cosinecurve, it is.)X 1 (t)a)b)c)d)e)X 2 ?X 2?X 2 ?X 2?X 2 ?Filename:pfigure-blue-144-1Problem 9.14Introduction to Statics and Dynamics, c <strong>Andy</strong> <strong>Ruina</strong> and Rudra Pratap 1992-2009.

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