This course is an introduction to the study of bodies in motion as applied to engineering systems and structures. We will study the dynamics of particle motion and bodies in rigid planar (2D) motion. This will consist of both the kinematics and kinetics of motion. Kinematics deals with the geometrical aspects of motion describing position, velocity, and acceleration, all as a function of time. Kinetics is the study of forces acting on these bodies and how it affects their motion.

Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion

Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion

Instructor: Dr. Wayne Whiteman, PE
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There are 7 modules in this course
In this section students will learn about particle kinematics, Newton's Laws and Euler's Laws, motion of particles and mass centers of bodies.
What's included
8 videos17 readings1 assignment
8 videos• Total 74 minutes
- Module 1: Course Introduction• 5 minutes
- Module 2: Particle Kinematics; Rectilinear Motion• 8 minutes
- Module 3: Rectilinear Motion Example• 8 minutes
- Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity• 7 minutes
- Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates• 15 minutes
- Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body• 9 minutes
- Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I• 9 minutes
- Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II• 13 minutes
17 readings• Total 170 minutes
- Syllabus• 10 minutes
- Consent Form• 10 minutes
- Pdf Version of Module 1: Course Introduction Lecture• 10 minutes
- Get More from Georgia Tech• 10 minutes
- Pdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture• 10 minutes
- Pdf Version of Module 3: Rectilinear Motion Example Lecture• 10 minutes
- Worksheet Solutions: Rectilinear Motion Example• 10 minutes
- Pdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture• 10 minutes
- Worksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates• 10 minutes
- Pdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture• 10 minutes
- Pdf Version of Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body Lecture• 10 minutes
- Worksheet Solutions: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body• 10 minutes
- Pdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture• 10 minutes
- Pdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture• 10 minutes
- Worksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II• 10 minutes
- Practice Problems• 10 minutes
- Solution of Quiz 1• 10 minutes
1 assignment• Total 30 minutes
- Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies• 30 minutes
In this section students will learn the work-energy principle for particles/systems of particles, impulse and momentum, impact, conservation of momentum and Euler's 2nd Law - Moment of momentum.
What's included
5 videos8 readings1 assignment
5 videos• Total 40 minutes
- Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring• 6 minutes
- Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles• 9 minutes
- Module 11: Impulse-Momentum Relationship; Define Impact• 7 minutes
- Module 12: Define Coefficient of Restitution; Solve an Impact Problem• 11 minutes
- Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation)• 7 minutes
8 readings• Total 80 minutes
- Pdf Version of Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring Lecture• 10 minutes
- Pdf Version of Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles Lecture• 10 minutes
- Pdf Version of Module 11: Impulse-Momentum Relationship; Define Impact Lecture• 10 minutes
- Pdf Version of Module 12: Define Coefficient of Restitution; Solve an Impact Problem Lecture• 10 minutes
- Pdf Version of Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation) Lecture• 10 minutes
- Earn a Georgia Tech Badge/Certificate/CEUs• 10 minutes
- Practice Problems• 10 minutes
- Solution of Quiz 2• 10 minutes
1 assignment• Total 30 minutes
- Work-Energy Principle for Particles/Systems of Particles; Impulse and Momentum; Impact; Conservation of Momentum; Euler’s 2nd Law – Moment of Momentum• 30 minutes
In this section students will learn about planar (2D) rigid body kinematics, relative velocity equation, rotation about a fixed axis, instantaneous center of zero velocity, and relative acceleration equations.
What's included
6 videos11 readings1 assignment
6 videos• Total 58 minutes
- Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation• 11 minutes
- Module 15: Solve a Relative Velocity problem• 9 minutes
- Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC)• 10 minutes
- Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem• 10 minutes
- Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation• 8 minutes
- Module 19: Solve a Relative Acceleration Problem• 10 minutes
11 readings• Total 110 minutes
- Pdf Version of Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation Lecture• 10 minutes
- Pdf Version of Module 15: Solve a Relative Velocity problem Lecture• 10 minutes
- Worksheet Solutions: Solve a Relative Velocity Problem• 10 minutes
- Pdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture• 10 minutes
- Pdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture• 10 minutes
- Worksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem• 10 minutes
- Pdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture• 10 minutes
- Pdf Version of Module 19: Solve a Relative Acceleration Problem Lecture• 10 minutes
- Worksheet Solutions: Solve a Relative Acceleration Problem• 10 minutes
- Practice Problems• 10 minutes
- Solution of Quiz 3• 10 minutes
1 assignment• Total 30 minutes
- Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation• 30 minutes
In this section students will continue to learn about planar (2D) rigid body kinematics, relative velocity equation, rotation about a fixed axis, instantaneous center of zero velocity, and relative acceleration equations.
What's included
8 videos12 readings1 assignment
8 videos• Total 73 minutes
- Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface• 7 minutes
- Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve• 8 minutes
- Module 22: Solve a Rolling Wheel Problem• 5 minutes
- Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula• 12 minutes
- Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion• 7 minutes
- Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion• 11 minutes
- Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion• 10 minutes
- Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion• 12 minutes
12 readings• Total 120 minutes
- Pdf Version of Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface Lecture• 10 minutes
- Pdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture• 10 minutes
- Pdf Version of Module 22: Solve a Rolling Wheel Problem Lecture• 10 minutes
- Pdf Version of Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula Lecture• 10 minutes
- Pdf Version of Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture• 10 minutes
- Pdf Version of Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion Lecture• 10 minutes
- Worksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion• 10 minutes
- Pdf Version of Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture• 10 minutes
- Pdf Version of Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture• 10 minutes
- Worksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion• 10 minutes
- Practice Problems• 10 minutes
- Solution of Quiz 4• 10 minutes
1 assignment• Total 30 minutes
- Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation II• 30 minutes
In this section students will learn about planar (2D) rigid body kinetics, translation, moment of momentum - angular momentum, and equations of motion.
What's included
6 videos11 readings1 assignment
6 videos• Total 58 minutes
- Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion• 6 minutes
- Module 29: Solve a Problem for a Body Translating in 2D Planar Motion• 12 minutes
- Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia• 8 minutes
- Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia• 7 minutes
- Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion• 9 minutes
- Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion• 16 minutes
11 readings• Total 110 minutes
- Pdf Version of Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion Lecture• 10 minutes
- Pdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture• 10 minutes
- Worksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion• 10 minutes
- Pdf Version of Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia Lecture• 10 minutes
- Pdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture• 10 minutes
- Worksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia• 10 minutes
- Pdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture• 10 minutes
- Pdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture• 10 minutes
- Worksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion• 10 minutes
- Practice Problems• 10 minutes
- Solution of Quiz 5• 10 minutes
1 assignment• Total 30 minutes
- Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion I• 30 minutes
In this section students will continue to learn about planar (2D) rigid body kinetics using the Work-Energy Method.
What's included
9 videos11 readings1 assignment
9 videos• Total 51 minutes
- Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion• 6 minutes
- Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration• 8 minutes
- Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion• 3 minutes
- Module 37: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion; Calculate the Work Done by a Constant Force, by a Variable Force, and by Gravity• 4 minutes
- Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion• 5 minutes
- Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion• 11 minutes
- Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion• 5 minutes
- Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion• 7 minutes
- Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion• 3 minutes
11 readings• Total 110 minutes
- Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture• 10 minutes
- Pdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture• 10 minutes
- Pdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture• 10 minutes
- Pdf Version of Module 37: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion; Calculate the Work Done by a Constant Force, by a Variable Force, and by Gravity Lecture• 10 minutes
- Pdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture• 10 minutes
- Pdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture• 10 minutes
- Pdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture• 10 minutes
- Pdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture• 10 minutes
- Pdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture• 10 minutes
- Worksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion• 10 minutes
- Solution of Quiz 6• 10 minutes
1 assignment• Total 30 minutes
- Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion II• 30 minutes
In this section students will continue to learn about planar (2D) rigid body kinetics using the Impulse-Momentum Method and Conservation of Momentum.
What's included
5 videos10 readings1 assignment
5 videos• Total 36 minutes
- Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion• 6 minutes
- Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion• 11 minutes
- Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion• 6 minutes
- Module 46: Principle of Impulse-Momentum Example; Center of Percussion• 9 minutes
- Module 47: Course Conclusion• 3 minutes
10 readings• Total 100 minutes
- Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture• 10 minutes
- Pdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture• 10 minutes
- Worksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion• 10 minutes
- Pdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture• 10 minutes
- Pdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture• 10 minutes
- Where to go from here?• 10 minutes
- Pdf Version of Module 47: Course Conclusion Lecture• 10 minutes
- Practice problems• 10 minutes
- Practice Problems• 10 minutes
- Solution of Quiz 7• 10 minutes
1 assignment• Total 30 minutes
- Planar (2D) Rigid Body Kinetics (continued): Impulse-Momentum Method; Conservation of Momentum. Course Conclusion.• 30 minutes
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The Georgia Institute of Technology is one of the nation's top research universities, distinguished by its commitment to improving the human condition through advanced science and technology. Georgia Tech's campus occupies 400 acres in the heart of the city of Atlanta, where more than 20,000 undergraduate and graduate students receive a focused, technologically based education.
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Reviewed on Oct 4, 2020
This course is very important to every Mechanical Engineering students, this is very useful to me for improving our subject.Thank you for giving opportunity.
Reviewed on Aug 28, 2020
A brilliant course, gave me a great foundation for more advanced courses in mechanical engineering. When ever i use some of the things i learned in this course in my work i think of Whiteman.
Reviewed on Oct 8, 2021
" Start from known to Unknown" to solve problem is very useful in all types of problem.Representation is very good.Mukund Mehta
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