Explanation Given: The non-linear differential equation of a free spring mass system is m d 2 x d t 2 + β | d x d t | d x d t + K x = 0 . Calculation: The non-linear differential equation of a free spring mass system is given as follows: m d 2 x d t 2 + β | d x d t | d x d t + K x = 0 In the above equation the term β | d x d t | d x d t signifies the contraction and relaxation of the free spring mass system

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 3.11, Problem 21E

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To discuss: In the non-linear differential equation md2xdt2+β|dxdt|dxdt+Kx=0 the damping term is written as β|dxdt|dxdt instead of β(dxdt)2.

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Chapter 3.11, Problem 20E

Chapter 3.11, Problem 23E

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Chapter 3 Solutions

Advanced Engineering Mathematics

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In the non-linear differential equation m d 2 x d t 2 + β | d x d t | d x d t + K x = 0 the damping term is written as β | d x d t | d x d t instead of β ( d x d t ) 2 .

Solution Summary: The author explains the non-linear differential equation of a free spring mass system.

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To discuss: In the non-linear differential equation md2xdt2+β|dxdt|dxdt+Kx=0 the damping term is written as β|dxdt|dxdt instead of β(dxdt)2.

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