EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
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Chapter 3.7, Problem 5E
Interpretation Introduction
Interpretation:
Determine the dimensionless form of the given system. For s = 0 and
Concept Introduction:
Dimensionless Formulation: The advantage of making the equation dimensionless is
The number of parameters in the equation reduces due to lumping them together into dimensionless groups
Dimensionless formulation gives the definition of parameter how much small it is
To find the parametric equations, differentiate the dimensionless system equation.
To summarize the result, the stability diagram is plotted using parametric equations of r and s.
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Question 1
20 pts
Test data on the bending strength of construction wood poles of various diameter are
presented below assuming the same length. Kip- 1000 lbf. Using the following data with 2nd
order Newton polynomial interpolation, we want to determine the strength of the material for
x=4.9 in. Which data point will be used as x? After you found x0, enter the value of x-xo in
the solution. Answer shall be in one decimal place.
Distance (in)
Strength (kips) 100
3.6
1.1
5.6
3.6
5.6
200
300
400
500
Chapter 3 Solutions
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5E
Ch. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.7 - Prob. 1ECh. 3.7 - Prob. 2ECh. 3.7 - Prob. 3ECh. 3.7 - Prob. 4ECh. 3.7 - Prob. 5ECh. 3.7 - Prob. 6ECh. 3.7 - Prob. 7ECh. 3.7 - Prob. 8E
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