Lesson and Course Plan For 5c1105 ---- Spring 2004*

 

 

 

Professor Martin Lesser

mlesser@mech.kth.se

 

 

 

¤       Lecture notes can be found on the course web site. http://www2.mech.kth.se/~mlesser/5C1105%20Website.htm These notes supply suplementary material that is not in the course text. Their main function is to provide methods for deriving equations of motion for constrained mechanical systems.

¤       A problem marked S is based on lecture material. This is material not available in the text!

¤       Individual instructors may alter recitation problems to fit their teaching style and student needs.

¤       The preferred programming language is Java. If at all possible you should bring your own laptop to the presentation where a projector will be provided. We will also provide a computer (laptop) at the presentations so you must arrange for the transfer of your material to that computer if you do not have your own laptop. Contact the course assistant running your presentation session to clear up such details. If you choose another language than Java you are responsible for arranging a format that will work at the presentations. Provided computers will be running windows.

 

 

 

1.     The Course Project  --- Chapters 1-4  16/3 room E1  13:00

a.      Course Organization and Grade Policies

b.      What is mechanics and why study it?

c.      Newton's Laws and Absolute Space.

 

2.     Mechanics in Flatland---Chapters 1-4 lecture notes 17/3 room D1  13:00

a.      Complex Numbers and Vectors

b.      How to define a point.

c.      Motion in the plane - Kinematics

3.     Dynamics Continued --- lecture notes            22/2 room E1  10:00

a.      Force Driven Motion - Dynamics

b.      Constraint and Constraint Forces

c.      The Simple Pendulum

4.     Project Planning ---Chapter 5  24/3 room D1 13:00

a.      What the project should accomplish?

b.      Interviewing a client --- (Rand Waltzman)

c.      Organizing a project team.

d.      Evaluation Criteria

5.     Historical Interlude (Lecture by Tom Wright)               29/3 room E1 10:00

a.      Mechanics in the age of Newton

6.     Multi-Body models --- lecture notes  31/3 room D1 13:00

a.      Conservation of Energy

b.      Constraint Force Elimination

c.      Kane's Equations in the Plane

7.     Planetary Motion --Chapter 6   lecture notes 26/4 room F1 13:00

a.      The Central Force Problem

b.      Kepler's Laws Derived using complex arithmetic

c.      Two and Three Body Problem

8.     The Best of All Possible Worlds --- Chapter 8  28/4  room D1 13:00

a.      Variational Principles

b.      Action

c.      Lagrange's Equations

9.     The Application of Lagrange's Equations -Chapter 8  5/5 room D1 13:00

a.      Calculating the velocity

b.      Calculating the potential energy

c.      Examples using Lagrange and Kane Equations

10.        Instability and Catastrophe---Chapter 10  5/12 room D1 13:00

a.      Linear Theory

b.      Bifurcations

11.        Chaos --- Chapter 11 5/17 room D1 13:00

a.      Determinism does not imply predictability

b.      Strange Attractors

12.        Pendulums are Complex ---Chapter 12  room D1 13:00

a.      Forced Pendulums

b.      The Inverted Pendulum Chain

 

 

Recitation Classes

 

D33 Fredrik Bultmark        fredrik.bultmark@fysik.uu.se

D34 Johan Eriksson           johan.eriksson@mech.kth.se

D35 Linus Marstorp           linus@mech.kth.se

D41  Thomas Wright          tom@mech.kth.se

 

1.     Problems 3.4, 3.6,5.2,5.3

a.      Discuss the written assignment.

2.     Problems 6.1,6.2,6.4 and S1, S2

a.      Project Discussion 1

Discussion Points

                                                                   i.      How complex should the project be?

                                                                     ii.      Can normal teaching be replaced by software?

                                                                        iii.      What makes a good project plan?

                                                                      iv.      Pilot or Final form?

3.     Problems 8.1, 8.2

4.     Problem 8.4 and other examples

a.      Project Discussion 2

                                                                   i.      What makes a good presentation?

                                                                     ii.      How can the results be evaluated?

                                                                        iii.      Roles of team members.

5.     Problems 10.1, 10.2,11.3,11.6

a.      Due date for written assignment!

 

 

Important Dates

 

April 26, Project Plan Due

May 20, Written Assignment Due

May 28, Project Presentation and Report Due

                     (If more than 140 take the course this might also include May 27)

 

 

Project Plan (No longer than 5 pages) 1 point

1. Written statement of the projects goals

2. Sketches of GUI

3. Software Development Plan

a.      Classes that need to be developed

b.     Algorithms that will be used

c.     Responsibilities of individual team members

 

Written Assignment 1 point

1.      The work is to be "hand written"

a.      This means that you must hand in the work in your own handwriting. Consultation between students in solving problems is encouraged but you must write up your own results!

2.      Clarity of exposition counts as much as correctness. Think of commenting a program. You should be able to look at your solutions a year from now and know what you did and why!

 

Project Presentation 2 points

1.       The oral presentation should be no longer than 15 minutes. You will be stopped after this time.

2.      The presentations will be given in hour long segments with three teams presenting in each segment. You must be present in the entire segment so as to examine and comment on the other presentations.

3.      At least 5 minutes of the presentation should be used to demonstrate your software.

4.      The presentation should consist of:

a.       Introduction in which the goals of the software are presented

b.      Demonstration of the software

c.       Discussion of any particular features that you consider special

d.      Discussion of to what extent the objectives have been reached and what remains to be done.

e.       Question period of up to 5 minutes, that is the entire presentation must not exceed 20 minutes including the questions.

5.      It is up to each team as to how the presentation is given. Typically one team member will do the talking and the other the demonstrating, however each team is free to arrange this in the way they wish.

6.      The project grade applies to the entire team.

7.      A team must consist of at least two and no more than three members.

8.      More extensive results are expected from the larger teams.

 

 

Final Grade = ( planGrade+assignmentGrade+ 2* ProjectGrade)/4

 

*There may be minor changes in the above course description and lesson plan which will be announced in class and on the course website. Class times follow the official schedule in case of any conflicts with time and places given on this website.