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Introduction to Computational Modeling Using C and Open-Source Tools
book

Introduction to Computational Modeling Using C and Open-Source Tools

by Jose M. Garrido
November 2013
Intermediate to advanced content levelIntermediate to advanced
461 pages
12h 1m
English
CRC Press
Content preview from Introduction to Computational Modeling Using C and Open-Source Tools
276 Introduction to Computational Modeling
horizontal displacement of the object is denoted by x. The problem is to find the
instantaneous change in the displacement of the object.
The dynamic behavior of the object is defined by Newton’s law, and is expressed
as follows:
m
d
2
x
dt
2
= F kv
Because the velocity is the instantaneous change of the displacement, and the
acceleration is the instantaneous change in the velocity of the object, the previous
equation is expressed as follows:
v =
dx
dt
m
dv
dt
= F kv
For this problem, the two state variables are displacement x, and the velocity
v, of the object. The input variable, u
1
, is the force F. The two state equations ...
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Publisher Resources

ISBN: 9781482216783