AN INTRODUCTION TO
NEWTONIAN MECHANICS by Edward Kluk Dickinson State University, Dickinson ND |
ABOUT THIS COURSE
A need
for good, simple and quantitative experiments in teaching
introductory physics on any level is commonly recognized. Using
sonic rangers, photogates, fast photography etc. we certainly can
help our students to understand basic physics laws. There are,
however, two problems related with use of such equipment. This
equipment is relatively expensive, and preparation of experiments
takes a lot of time. A software for physics lab simulations is
not cheap either and usually is oriented toward applications than
investigation of fundamental laws.
Looking at dynamics of applets (this applet is
courtesy of JavaMachine) one can realize
their potential as simulators of introductory physics lab
experiments. Their big advantage is a possibility to use them
through the Internet with Netscape 2.0 browser (or higher) or
Microsoft Internet Explorer 3.0 installed on an applet capable
platform like Windows 95. Netscape browsers are free of charge
for educational institutions and Internet Explorer is free for
everybody. Nowadays it becomes more likely to find in colleges
and high schools good computers hooked up to Internet than well
equipped physics labs. As a matter of fact applets can be
installed and used locally, without Internet connection, which
makes it even cheaper.
After creation of two
such simulations for experiments in mechanics I have concluded
that they may work best as a support for a Web course of
introductory mechanics. So I have started to develop such course
which hopefully will be fully operational in the end of 1997. In
this course I try to emphasize an experimental base of the
Newtonian mechanics and its relations with mathematics as only
known method capable of quantitative descriptions the nature
laws. The course will be kept as much as possible on an
elementary level. The mathematics used there will not go much
beyond a good high school algebra. Unfortunately true
understanding Newton laws is not possible without at least a type
of calculus invented by Newton himself. Such calculus will be
developed and applied in this course. Thus, this course is not
intended for people who want to memorize a bit of physics to
pass some standard tests and forget about it, but for these who
want truly understand Newtonian mechanics. Students are supposed
to perform all suggested simulations of experiments and make an
elementary mathematical analysis of their
"experimental" results. This analysis should lead to
mathematical formulations of the physics laws. It does not make
much sense to move to a next section without understanding what a
current section is about. Physical laws and principles are very
much interdependent and very often they must be introduced in a
certain order. All of it demands from students self discipline
and hard work.
Those who teach
introductory physics courses may also find some elements of this
course interesting. The applets used here are capable to simulate
many other experiments which are not described in the course but
may be of interest in other courses. But they have their
limitations. For example, none of them let you change initial
conditions for a simulated motion in a continuous way. It means
that you have only limited number of choices. This limitation
keeps applets code relatively simple. More about behaviour of a
particular applet can be found in each part of the course
introducing this applet.
Due to limitations of
HTML mathematical formulae are often printed here in not quite
standard notation. For example, it is not possible to use
standard square root symbol or fraction line. Thus, they are
replaced by power ½ and slash respectively. If you have problems
with some formulae, please rewrite them in standard forms on a
piece of paper.
In actual stage of its
development the course can be used as a supplemental material for
a regular course containing mechanics. When fully developed, it
hopefully will make possible to learn basic Newtonian mechanics
without a lot of external help.
Currently developed
material can be downloaded as a zip file and
used (at least in theory) on any platform with a browser which is
capable to handle applets. But so far the related applets
have beeen tested and found working correctly on Windows 95
and Windows NT with Netscape and Internet Explorer 3.0.
Tests on Unix gave negative results. Hopefully I will be able to
test it on Macintosh soon. If you find worth to download it
please read the copy rights note. To use it, extract zip file to
a separate directory and open m_cont_h.html in your
browser.
Last update: Jan 10, 1997 | E - mail to Edward Kluk |
Copyright (c) 1996 Edward Kluk |