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An Instructor’s Solutions Manual to Accompany MECHANICAL VIBRATIONS: THEORY AND APPLICATIONS, 1ST EDITION S. GRAHAM KELLY download instant at http://testbankinstant.com
ISBN-13: 978-1-4390-6213-5
ISBN-10: 1-4390-6213-7
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INSTRUCTOR'S SOLUTIONS MANUAL TO ACCOMPANY MECHANICAL VIBRATIONS THEORY AND APPLICATIONS FIRST EDITION S. GRAHAM KELLY download instant at http://testbankinstant.com
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Contents Preface Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 Chapter 13 1 55 134 220 369 424 526 660 727 765 853 921 993 vii download instant at http://testbankinstant.com
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Preface Mechanical vibrations is an applied engineering science. Students learn to apply
previously learned sciences to realistic engineering problems. Students apply material
learned in courses in statics, dynamics, mechanics of solids, fluid mechanics, calculus,
differential equations and linear algebra to the solution of vibrations problems. The
difference between a vibrations course and the aforementioned courses is the mathematical
modeling aspect of vibrations. While studying vibrations students learn about
mathematical modeling of systems with time as an independent variable. Students learn
about assumptions made during the modeling process, coordinates and variables used,
application of the basic laws of nature (including drawing of free-body diagrams), solving
the mathematical problem, putting the solution in a form that can be used and most
importantly how to interpret the solution to answer a given problem. Thus students learn
the basic theory of mechanical vibrations and its application to problem solution and
design. Mechanical vibrations is a precursor to engineering design.
The purpose of an Instructor’s Solution Manual is to provide solutions to end-ofchapter problems in the manner solved in the text. That is why this Solutions Manual is so
lengthy. The solution to the vast majority of the problems is presented in such a way that is
easy to follow. The end-of-chapter problems are broken into two types. Short answer
questions are concept questions addressing the reader’s understanding of basic concepts.
They are broken into four subtypes: true/false, short answer, short calculation, and
dimensions. The true/false questions ask the reader to evaluate a statement for its veracity
and either explain why it is true or rewrite it to make the statement true. Short answer
problems require the reader to formulate a short answer to a question while short
calculation questions require the reader to make short calculations to test understanding of
the concepts. The questions on dimensions are included for most chapters to review
dimensions of basic quantities used in the chapter. The solutions to short answer questions
are presented without the problem statement.
Chapter problems involve lengthier calculations and may involve concepts form
more than one chapter. The solutions of chapter problems are presented with a problem
statement, a review of what is given in the problem statement with symbols assigned, a
statement of what is desired in the solution, the solution of the problem and a statement
regarding what the problem illustrates. The solution of the problem is presented in detail in
most problems. This makes it easier for an instructor to decide what problems to assign.
vii
© 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. download instant at http://testbankinstant.com
The author acknowledges the help of his wife, Seala Fletcher-Kelly in preparing the
figures and organizing the manual. However any mistakes in the solutions are solely mine.
I would appreciate being informed of mistakes as you find them at sgraham@uakron.edu.
That way I can post errata on the website for the book.
S. Graham Kelly
viii
© 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.