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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 30 "Classical Mechanics with \+
Maple" }}{PARA 256 "" 0 "" {TEXT -1 55 "Section 1.1: Introduction and \+
Installation Instructions" }}{PARA 19 "" 0 "" {TEXT -1 37 "Harald Kamm
erer\nmaple@jademountain.de" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 18 "1
.1.1 Introduction" }}{PARA 0 "" 0 "" {TEXT -1 134 "Classical mechanics
 studies forces and their effects on bodies on a non-atomic scale. Whe
n these bodies are stationary, we talk about " }{TEXT 257 7 "statics" 
}{TEXT -1 38 ". When they are moving, we talk about " }{TEXT 256 10 "k
inetics. " }{TEXT -1 13 " We speak of " }{TEXT 270 10 "kinematics" }
{TEXT -1 348 " when we mean the motion of bodies caused by the action \+
of forces.  In some cases, only the geometry of the motion is of inter
est, regardless of the reason for the motion.  To simplify the underst
anding of the following sections, we first define some fundamental ter
ms. In the numerical examples of this course, we use these basic units
 by default." }}{PARA 4 "" 0 "" {TEXT -1 11 "Basic Units" }}{PARA 0 "
" 0 "" {TEXT -1 4 "The " }{TEXT 264 8 "distance" }{TEXT -1 56 " betwee
n two points in the space is mesured in units of " }{TEXT 258 3 "1 m" 
}{TEXT -1 10 " (meter). " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "
" 0 "" {TEXT -1 169 "To define the position of a point in space we use
 a reference system. Usually this is described as a system of three or
thogonal axes. A reference system which underlies " }{TEXT 259 15 "New
tionian laws" }{TEXT -1 14 " is called an " }{TEXT 260 15 "inertial sy
stem" }{TEXT -1 185 ". Every reference system which is moved relative \+
to this inertial system by a uniform translation is also an inertial s
ystem. Measurements with respect to an inertial system are called " }
{TEXT 261 8 "absolute" }{TEXT -1 259 ". On the earth, fixed reference \+
systems are not real inertial systems, but the error is so small in pr
actice that it can be neglected. So we can use the Newtonian laws on e
arth with adequate precision. Motions measured relative to the earth c
an be considered " }{TEXT 262 8 "absolute" }{TEXT -1 1 "." }}{PARA 0 "
" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 265 4 "time" }{TEXT -1 
25 " is measured in units of " }{TEXT 263 3 "1 s" }{TEXT -1 10 " (seco
nd)." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 266 4 "mass" }{TEXT -1 
24 " is mesured in units of " }{TEXT 267 4 "1 kg" }{TEXT -1 11 " (kilo
gram)" }}{PARA 0 "" 0 "" {TEXT -1 1 "f" }{TEXT 268 4 "orce" }{TEXT -1 
76 " is deduced by the units of length, mass and time. The unit of the
 force is " }{TEXT 269 18 "1 N = 1 kg m / s^2" }{TEXT -1 1 "." }}
{PARA 4 "" 0 "" {TEXT -1 26 "Organization of the Course" }{TEXT 18 0 "
" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 100 "The course is organiz
ed as shown below.  Each section contains enough material for several \+
lectures." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
275 39 "Chapter 2: Kinematics of Mass Particles" }}{PARA 0 "" 0 "" 
{TEXT -1 70 "section 2.1 Mass Particles in Cartesian, Polar and Natura
l Coordinates" }}{PARA 0 "" 0 "" {TEXT -1 50 "section 2.2 Mass Particl
es in Relative Coordinates" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 
"" 0 "" {TEXT 276 38 "Chapter 3: Kinetics of Mass Particles " }}{PARA 
0 "" 0 "" {TEXT -1 35 "section 3.1 Newton's Laws of Motion" }}{PARA 0 
"" 0 "" {TEXT -1 46 "section 3.2 Balance and Conservation of Energy" }
}{PARA 0 "" 0 "" {TEXT -1 27 "section 3.3 Linear Momentum" }}{PARA 0 "
" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 277 53 "Chapter 4: System
s of Mass Particles and Rigid Bodies" }}{PARA 0 "" 0 "" {TEXT -1 37 "s
ection 4.1 Systems of Mass Particles" }}{PARA 0 "" 0 "" {TEXT -1 41 "s
ection 4.2 Systems of Plane Rigid Bodies" }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT 278 75 "Chapter 5: Equations of Motion fo
r Rigid Bodies and Systems of Rigid Bodies" }}{PARA 0 "" 0 "" {TEXT 
-1 60 "section 5.1 The Analytic Method and the Lagrangian Equations" }
}{PARA 0 "" 0 "" {TEXT -1 65 "section 5.2 Worked Examples of the Synth
etic and Analytic Methods" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 61 "1.1
.2 Installation Instructions for the Packages and Diagrams" }}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 77 "In addition to the Maple worksheets, this
 course provides two Maple packages:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 0 "" 0 "" {TEXT -1 4 "The " }{TEXT 281 8 "dynamics" }{TEXT -1 
100 " package, which contains Maple 6 functions for performing basic c
omputations in classical mechanics." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }
}{PARA 0 "" 0 "" {TEXT -1 4 "The " }{TEXT 282 7 "figures" }{TEXT -1 
378 " package, which contains all of the Maple diagrams and animations
 used in the course.  The figures were placed inside a package to avoi
d cluttering the exposition in the chapters with the Maple code used t
o generate the figures.  The figures are provided in the form of Maple
 procedures, many of which take parameters, allowing the user to chang
e their appearance interactively." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 26 "To install these packages:" }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 36 "1. Save the contents
 of the folders " }{TEXT 284 8 "m6dynlib" }{TEXT -1 5 " and " }{TEXT 
285 8 "m6dynfig" }{TEXT -1 38 " in directories of your choosing, say \+
" }{TEXT 286 17 "C:/mylib/m6dynlib" }{TEXT -1 5 " and " }{TEXT 288 2 "
C:" }{TEXT -1 1 "/" }{TEXT 289 5 "mylib" }{TEXT -1 1 "/" }{TEXT 290 8 
"m6dynfig" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 100 "2. In any M
aple worksheet where you want to use the package or view the figures, \+
enter the commands:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 57 "libname:=\"C:/mylib/m6dynlib\",\"C:/mylib/m6dynfig\",
libname;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "with(plots):wit
h(plottools):with(linalg):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
15 "with(dynamics);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "with
(figures_chapter_2);  #OR CHAPTER 3, OR 4 OR 5." }}}}{PARA 3 "" 0 "" 
{TEXT -1 0 "" }}}{MARK "0 0 0" 19 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }