Courses:

Dynamics and Control I >> Content Detail



Study Materials



Readings

Amazon logo When you click the Amazon logo to the left of any citation and purchase the book (or other media) from Amazon.com, MIT OpenCourseWare will receive up to 10% of this purchase and any other purchases you make during that visit. This will not increase the cost of your purchase. Links provided are to the US Amazon site, but you can also support OCW through Amazon sites in other regions. Learn more.

The cited chapter/section numbers are in the course textbook:

Amazon logo Williams, J. H., Jr. Fundamentals of Applied Dynamics. New York, NY: John Wiley and Sons, Inc., 2006. ISBN: 9780470133859.


SES #TOPICSREADINGS
I. Motion of a single particle
1

Course information

Begin kinematics: frames of reference and frame notation

1
2

The "spider on a Frisbee" problem

Kinematics using first principles: "downconvert" to ground frame

3.1, 3.2
3Pulley problem, angular velocity, magic formula

3.3, beginning of 3.4

Handout: kinematics (PDF)

4Magic and super-magic formulae3.4, 3.5 theory
5Super-magic formula, degrees of freedom, non-standard coordinates, kinematic constraints3.5 problems, 3.6
II. 2D Motion of system of particles
6Single particle: momentum, Newton's laws, work-energy principle, collisions4.1, 4.2
7Impulse, skier separation problem

4.4

Handout: note on in-class problem — skier sliding on semicircular mountain (PDF)

8

Single particle: angular momentum, example problem

Two particles: dumbbell problem, torque

4.3, 6.1, 6-2.1
9Dumbbell problem, multiple particle systems, rigid bodies, derivation of torque = I*alpha6.2
10Three cases, rolling disc problem6-3.1, 6-3.2 (restrict to 2D, most of the material is 3D)
11Work-energy principle
12Exam 1 recapHandout: rigid body dynamics (PDF)
13Exam 1
III. Introduction to Lagrangian dynamics
14Generalized coordinates, introduction to Lagrangian, example problem5-4.1, 5-5 (see equations alone), examples in 5-5 without generalized force calculations
15Lagrangian derivation5-4.3, 5-4.4
16Generalized forces, double pendulum problem5-4.4, examples in 5-5, 6-5, 2D examples in 6-6
17Example problemExamples in 5-5, 6-5, 2D examples in 6-6
18

Exam 2 recap

Inverted pendulum, phase plots

Handout: Lagrangian formulation (PDF)
19Exam 2
20Helicopter dynamics
IV. Vibrations
21Single DOF system: equilibrium, linearization, stability analysis8-1, 8-3 introduction
22Free response of a damped oscillator8-3.1
23Free response (cont.)8-3.1
24Free response (cont.), forced response

8-3.5

Handout: the behavior of dynamic systems (PDF)

25

Forced response (cont.), Bode plots

Putting it all together (free + forced)

26Final exam review
27Final exam

 








© 2010-2021 OpenCollege.com, All Rights Reserved.
Open College is a service mark of AmeriCareers LLC.