Course Meeting Times
Lectures: 2 sessions / week, 1.5 hours / session
Recitations: 1 session / week, 1 hour / session
MATLAB® Sessions: 1 session / week, 1 hour / session
Course Goals
This version of the class stresses kinematics and builds around a strict but powerful approach to kinematic formulation which is different from the more traditional approach presented in Spring 2007.
Our notation was adapted from that of Professor Kane of Stanford University. We use strict frames, a strict notation for relative velocities and accelerations, frameoriented derivates of vectors, and a constructive approach to the derivation of linear and angular velocities and accelerations.
Course Materials
Required Text
Williams, J. H., Jr. Fundamentals of Applied Dynamics. New York, NY: John Wiley and Sons, Inc., 2006. ISBN: 9780470133859.
Recommended Reading
Meriam, J. L., and L. G. Kraige. Engineering Mechanics: Dynamics. 5th ed. Vol. 2. New York, NY: J. Wiley & Sons, 2001. ISBN: 9780471406457.
Class Meetings
Course Structure
Each week, there will be two class lectures, one MATLAB® session, and one recitation.
 Lectures will be held for 90minute periods twice per week. Lecture attendance is mandatory. Attendance and participation will be part of the grade.
 You will be assigned to a MATLAB session that meets once per week, covering material relevant to the course and problem sets. These sessions are a mix of lecture and handson lab activities.
 The purpose of the recitations is to give students experience in the subject by working out examples and expanding on the material presented in the lectures. Attendance and participation in the recitations is mandatory.
Problem Sets
There will be two types of problem sets, one for the dynamics part and one for the MATLAB part. Dynamics problem sets will typically be assigned on Mondays and due the next Monday. They are available in the assignments section. To receive credit, problem sets must be handed in at the beginning of class on the due date. Because of holidays, tests, etc., some problem sets may be provided and will be due on days other than Mondays for some weeks. For the same reason, they may not be assigned for a particular week. Late problem sets will not be accepted. MATLAB problem sets will be handed out during MATLAB sessions and will be due in class on the duedate.
Honesty on Problem Sets
You are welcome, and encouraged, to work on the assignment problems with fellow students. A good way to learn the material is in small study groups. Such groups work best if members have attempted the problems individually before meeting as a group. Of course, the assignment solution that you turn in should reflect your own understanding, and not that of your fellow students. In other words, do not copy directly from other students. If it is obvious that such direct copying has occurred, we will disallow that homework.
Tests
 There will be two inclass midterm exams. They are scheduled for:
 Wednesday, Lec #13
 Monday, Lec #19
 The 3hour final exam will be scheduled by the Registrar’s Office.
 All the exams (including the final) will be closed book. One sheet of handwritten notes will be allowed at the first midterm exam, two sheets at the second midterm exam, and three sheets at the final exam.
 There will be two optional review sessions before each midterm exam.
Grading
ACTIVITIES  PERCENTAGES 

Homework and classworkHomework and classwork include:

35% 
Two midterm exams  40% 
Final exam  25% 
Lecture Calendar
LEC #  TOPICS 

15 
I. Motion of a single particleKinematics: Frames, transforming between frames, derivatives of vectors, velocity, acceleration, angular velocity, angular acceleration, centripetal terms, Coriolis terms 
612 
II. 2D Motion of system of particlesDynamics: Linear momentum principle, angular momentum principle for system of particles, 2D motion of rigid body: Momentum principles, inertia tensor, parallel axes theorem, instantaneous center of rotation, workenergy principle; variable mass systems 
13  Exam 1 
1418, 20 
III. Introduction to Lagrangian dynamicsGeneralized coordinates and forces; Lagrangian equations of motion for 2D holonomic systems of particles and rigid bodies. Helicopter dynamics 
19  Exam 2 
2125 
IV. VibrationsPhase plots, equilibria, linearization, stability. 1DOF oscillations: natural frequencies, free, damped, and forced response; time response, frequency response, bode plots 
26  Recap 
27  Final exam 