## Syllabus, Lecture Videos and Lecture Notes

**Quick Links: **

- Course Goals >>
- Workload Expectation >>
- Lecture Videos (with pdf copies of notes and MATLAB codes) >>
- Detailed Syllabus (with links to sections of videos) >>
- Concept Checklist (with links to videos) >>
- Electronic Notes (detailed written text) >>

**Final Review Slides 2022 (ppt) >>**

**1. Lecture Videos and pdf lecture notes** (times include opening and closing credits)

See also **Detailed syllabus with links to individual sections of lecture videos >>**

- Episode 1 – Introduction and Organization (1:19:46)
- Episode 2 – Particle Kinematics – Cartesian coordinates (1:42:31)
- Episode 3 – Particle Kinematics – Curvilinear coordinates (1:57:21)
- Episode 4 – Newton's Laws Part 1: Calculating forces on particles with known motion: (1:15:52)
- Episode 5 – Newton's Laws Part 2: Predicting Motion of Particles (2:29:11)
- Episode 6 – Energy 1 (1:11:12)
- Episode 7 – Energy 2 (1:25:42)
- Episode 8 – Linear Momentum (1:37:55)
- Episode 9 – Collisions (1:43:44)
- Episode 10 – Angular Momentum (1:38:34 or 54:33 without optional advanced topic)
- Episode 11 – Free Vibration of undamped systems 1 (1:27:38)
- Episode 12 – Free Vibrations of undamped systems 2 1:31:58
- Episode 13 – Free Vibration of damped systems 1:45:04
- Episode 14 – Forced Vibrations 1 1:48:42
- Episode 15 – Forced Vibrations 2 1:43:52
- Episode 16 – Rigid Body Kinematics 1 1:22:38
- Episode 17 – Rigid Body Kinematics 2 1:23:54
- Episode 18 – Inertial properties of rigid bodies 2:06:30
- Episode 19 – Rigid Body Dynamics 1:37:12
- Episode 20 – Energy and Momentum for rigid bodies 1:52:30 (1:22:34 without optional advanced topic)
- Special Edition - Introduction to MATLAB (1:55:22)
- Special Edition - Design Project 1: Dynamically Tuned Mass Launcher
- Special Edition: Design Project 2: Predator-Prey competition (56:12)
- Special Edition - Design Project 3: Vibration Isolator (44:31)

- pdf notes
- Detailed Project Descritpion
- MATLAB for accelerometers
- Arduino sketch for accelerometers (you probably will not need this)
- Special Edition - Design Project 4: Solar Car (1:01:05)
- Special Edition - Problem Set 2 2022: Particle Kinematics (41:36)
- Special Edition - Problem Set 3 2022: Particle Dynamics (55:11)
- Special Edition - Problem Set 4 2022: Conservation laws (energy/momentum/collisions) (47:20)
- Special Edition - Problem Set 5 2022: Free vibrations (24:48)
- Special Edition - Problem Set 6 2022: Forced vibrations (28:06)
- Special Edition - Problem Set 7 2022: Rigid body kinematics; inertial properties of rigid bodies (29:40)
- Special Edition - Problem Set 8 2022: Rigid body dynamics (35:09)

- Special Edition - Problem Set 2 2021: Particle Kinematics (43:06)
- Special Edition - Problem Set 3 2021: Particle Dynamics (43:36)
- Special Edition - Problem Set 4 2021: Conservation laws (energy/momentum/collisions) (32:44)
- Special Edition - Problem Set 5 2021: Vibrations (51:38)
- Special Edition - Problem Set 6 2021: Rigid body kinematics; inertial properties of rigid bodies (26:44)
- Special Edition - Problem Set 7 2021: Rigid body dynamics (37:28)

**2. Detailed notes (electronic text)**

1. Brief introduction to the objectives and methods of dynamics(see video)

2. Review of forces and Moments (pdf version) (reading assignment - not covered in lectures)2.3 Force couples, pure moments and Torques

3. Analyzing motion of systems of particles(pdf version)3.1 Equations of motion for a particle

3.2 Calculating forces required to cause prescribed motion of particles

3.3 Deriving and solving equations of motion for systems of particles

4. Conservation Laws for Particles(pdf version)4.1 Work, power, potential energy and kinetic energy relations

4.2 Linear impulse-momentum relations

5. Vibrations(pdf version)5.1 Features of vibrations and overview of issues in controlling vibrations

5.2 Free vibration of conservative single degree of freedom systems

5.3 Free vibration of damped single degree of freedom systems

5.4 Forced vibration of single degree of freedom systems

5.5 Solving differential equations for vibrating systems (advanced topic - not covered in exams)

5.6 Introduction to vibration of multi-degree of freedom systems (advanced topic - not covered in exams)

Summary of Solutions to EOM for vibration problems (pdf)

J

ava vibration demonstrationsThese will only run in Microsoft Internet Explorer - you can use the IE plugin to run them in Chrome or Firefox - and need to be added to the Site Exception List in your Java control panel to run. You can find additional instructions to set this up here.

Cut and paste the links below into the IE address bar in an Internet Explorer window

Free Vibration Simulator: https://www.brown.edu/Departments/Engineering/Courses/En4/java/free.html

Forced Vibration Simulator: https://www.brown.edu/Departments/Engineering/Courses/En4/java/forced.html

6. Analyzing motion of systems of rigid bodiespdf version - (see the html for the animations)6.1 Introduction to Rigid Body Motion

6.2 Describing Motion of a Rigid Body (rotation tensor; angular velocity and acceleration)

6.3 Analyzing Motion in Connected Rigid Bodies (mechanisms, rolling wheel, gears)

6.4 Linear Momentum, Angular Momentum and KE of rigid bodies (calculating COM and Inertia)

6.5 Rotational Forces: Review of moments exerted by forces and torques

6.6 Dynamics of rigid bodies (equations relating forces and moments to motion)

6.7 Summary of equations of motion for rigid bodies (long list of all important equations)

6.8 Examples of solutions to problems involving motion of rigid bodies