PHYSICS 304
Spring 2009
 Lecture:
 Tues. & Thurs. 9:30  10:50 AM ,
 PandA 184
 Daniel Finley

 (P451054) Problem Session:
 Tues.: 7:00  8:50 PM ,
 PandA 184
 

 


Lagrange (17361813) 
 Isaac Newton (16421727) 
 Sofia Kovalevskaya (18501891)

Introduction to the Class
This is the second half of a 2semester general
introduction to phenomena associated with the
name classical mechanics,
which, this semester, will include coupled
oscillatory motions, rotational motion of rigid bodies, scattering theory,
as well as an introduction to phenomena that only have azimuthal symmetry,
and the more modern studies of nonlinear mechanics and chaotic motion.
We are using a recentlypublished text which seems quite good, with a good mix
of the very classical parts of our subject combined with introductions to the
modern research still continuing on nonlinear problems:

Classical Mechanics,
John R. Taylor; published by University Science Books.



This publisher has an interesting website, http://www.uscibooks.com,
although when you get there you must still do a title search for our particular text.

Over the course of the semester we plan to cover at least chapters 1013 and
parts of Chs. 14 and 16, as well as two or three
interesting topics that I may pull from other places, and, maybe some of Ch. 15.
The class introduction contains a rather detailed
description of the text, of the way the class will proceed, the details of the homework assignments,
the Bonus Homework, the examinations, and the grading system.
The course Syllabus will be a weekbyweek
description of what I currently believe the schedule of the course will be, including the
timing of all the exams. In particular, you should use this Syllabus
as a reading guide for your text, being very sure to read the material in the text
BEFORE the lecture, and then again afterwards, always noting any questions you have, so that you can ask
for answers to them.
This is a new text, for both you and me, so it is worthwhile noting that the
Syllabus
is still under
construction, with your help, hopefully;
therefore, you should consult it regularly, for updates and/or changes.
It will definitely be added to from
time to time, as noted there.
My Office: Physics & Astronomy Bldg., 800 Yale Boulevard, Room 168
Telephone: 2778799 ;
email: finley@tagore.phys.unm.edu
 Office Hours:
 my formal office hours are after class,
from 11 to 12, and also Wedn. afternoon from 2 to 3 pm.
 in my office, at ANY time that you
come by and I am there without other people;
 I am happy to talk with you about physics, math, or how they
relate to the world, your text, and/or your assigned homework!
The class has David Vrba as a Teaching
Assistant, who will help with the nighttime Problem
Sessions as well.
He will also be available for discussions and/or
questions, from 34 pm on Wednesday afternoons, in his office, Room 1144.
You may also send him email
by clicking
here, suggesting a time
and place for you to meet with him.
The problem session, P. 451054, is very important, and you must
take it as well; it is 1 credit hour and is graded CR/NC.
It will be very important for help with the problems, and especially
with mathematical difficulties that you may have.
I will use some of that time to provide help for you with new mathematical applications,
which you may not recall well from your mathematics classes.
Also note that the examinations are given at this time, on those 3 days when we have exams.
Below are comments concerning requirements for the course. Please see the
course information webpage for much more information:

There will be homework assignments due on Mondays and Fridays, to be turned in at the beginning
of the class. Almost all of these assignments will include
problems which require a computer to complete, using some form of programming.
There will also
be some Bonus Homework Problems over the course of the semester: they are
both more difficult and more interesting. Their grade goes on top of the average
for all regular homework assignments, so that you could end up with a homework
average higher than 100%

There will
be three examinations, all of which
will be given during the time for the problem session of the appropriate week,
as noted in the Syllabus.
Lastly, there will be a final examination, at the standard, announced time, which
will not be comprehensive, but will cover only the material since
the previous exam.

Assigned Homework will be very important in your process of learning
the material being discussed. Therefore, it will
count 25% of your
final course grade. The assignments are put up as they are created,
on the series of webpages listed below. Be sure to tell me if I have
forgotten to post any one of them on time:

homework sets I, preparing for the first exam;

homework sets II, preparing for the second exam;

homework sets III, preparing for the third Exam.

homework sets IV, preparing for the Fourth Exam.
Links to the homework solutions are provided on the homework assignment pages. They
should be available after the class in which you have turned them in.
Some of the homework problems will require the use of computer software capable of
creating numerical solutions to differential equations, creating good plots, and of performing algebraic computations
for ordinary and matrix algebra, such as MATLAB, Maple, or Mathematica.
 There will also be Bonus Homework Problems this semester, which will be listed
here. Please see the class introduction webpage for details concerning
them.
 First Bonus Homework Assignment; will be due Thursday,
5 March, 2009.
[One may now retrieve the solution here.]
 Second Bonus Homework Assignment due 31 March, 2009.
This problem deals with nutation and precession of a cylindrical top,
in some detail.
[One may now retrieve the solution here.]
 Third Bonus Homework Assignment due 7 April, 2009.
This problem considers Poisson brackets, the point in classical mechanics
from which comes quantum mechanical commutators.
[One may now retrieve the solution here.]
 Fourth Bonus Homework Assignment due 23 April, 2009.
This problem considers the van der Pol oscillator, an example of a
selfsustained, nonlinear oscillator, reminiscent of early radio circuits, and requiring computer
skills.
[One may now retrieve the solution here.]
Links will be inserted below of three sorts:
 Handouts for extra material not in the text, but covered in class.
 Links to various "demonstrations" shown in class, on the computer:
They are Maple files that demonstrate particular, useful things one might want it to do:
Some of them are presented as htmlfiles, which can simply be viewed,
and also as actual maple files [.mws], which one must download, rather than view,
and then use in a Maple program. Others are simply the downloadable Maple programs.
 Maple file shown in class showing behavior of
various systems of coupled springs, or an html
version of it.
 Maple file shown in class with calculations for
normal modes of several equal carts and springs,
or, again, an html version of it.
 Maple file on some of the behavior of elliptic
functions, or an html version of this one.
 The Driven, Damped Pendulum: a "first" example of a chaotic dynamical system.
 A Maple
file showing calculations for many different drive forces of the motions of the
driven, damped pendulum as discussed in Chapter 12 of Taylor, with many of his figures worked out.
The Maple file will only work on Versions 11 or 12; however, an htmlversion, i.e., a webpage to view the
results, details, and plots, is given at
this link, or there is also available a pdfversion,
here.
 A second Maple file showing details of bifurcations for
a particular case of chaotic motions,
when the drive force parameter is γ = 1.50.
As usual the Maple file must be downloaded and then run, on either Maple 11 or 12. However, there is
also an htmlversion that you may look
at. There is no pdfversion because the resolution is simply not good enough to display the desired
results.
 The Logistic Map: This is
the Maple File, and this is the webbased version.
 These are kept from the first semester of the class, for reference, if you like:
 Plotting simple graphs: HTMLversion, or
Maple (10) version [Classic].
 Creating graphs for (2dimensional) projectiles under gravity with linear air drag:
HTMLversion, or Maple (10) version
[Classic].
 Creating graphs for (2dimensional) projectiles under gravity with quadratic air drag:
HTMLversion, or Maple (10) version
[Classic].
Note that these graphs require the numerical solution of a coupled pair of ordinary differential
equations.
 Graphs of Phase Plane plots for some sample harmonic oscillators,
undamped, underdamped, critically damped, and overdamped.
 Graphs of various (bound) motions for a twobody, attractive, central force: comparing the behavior of the
relative coordinate, the coordinate for the first body, and that for the second body, linked here only
as a downloadable Maple file.
 Links to other websites of use for the course.
Below you will find various weblinks to interesting things happening
in physics and astronomy.
Links to Exciting Physics News
Updated as I find time.
Click here to return to
the top of this page.


finley@tagore.phys.unm.edu


Last updated/modified: 20 December, 2008

If you are a qualified person
with disabilities who might need appropriate academic adjustments, please
communicate with me as soon as possible so that we may make appropriate
arrangements to meet your needs in a timely manner. Frequently, we will
need to coordinate accommodating activities with other offices on campus.