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.
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Recommended Background:
To be successful in the course you will need to have mastered basic engineering mechanics concepts and to have successfully completed my courses en titled an “Introduction to Engineering Mechanics” and “Applications in Engineering Mechanics.” We will apply many of the engineering fundamentals learned in those classes and you will need those skills before attempting this course.
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Suggested Readings:
While no specific textbook is required, this course is designed to be compatible with any standard engineering dynamics textbook. You will find a book like this useful as a reference and for completing additional practice problems to enhance your learning of the material.
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The copyright of all content and materials in this course are owned by either the Georgia Tech Research Corporation or Dr. Wayne Whiteman. By participating in the course or using the content or materials, whether in whole or in part, you agree that you may download and use any content and/or material in this course for your own personal, non-commercial use only in a manner consistent with a student of any academic course. Any other use of the content and materials, including use by other academic universities or entities, is prohibited without express written permission of the Georgia Tech Research Corporation. Interested parties may contact Dr. Wayne Whiteman directly for information regarding the procedure to obtain a non-exclusive license.
In this section students will learn about particle kinematics, Newton's Laws and Euler's Laws, motion of particles and mass centers of bodies.
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
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
Work-Energy Principle for Particles/Systems of Particles
Module 2•2 hours to complete
Module details
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
Show info about module content
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 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
Planar (2D) Rigid Body Kinematics I
Module 3•3 hours to complete
Module details
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
Show info about module content
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 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
Planar (2D) Rigid Body Kinematics II
Module 4•4 hours to complete
Module details
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
Show info about module content
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
Planar (2D) Rigid Body Kinetics I
Module 5•3 hours to complete
Module details
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
Show info about module content
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
Planar (2D) Rigid Body Kinetics II
Module 6•3 hours to complete
Module details
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
Show info about module content
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
Planar (2D) Rigid Body Kinetics III
Module 7•3 hours to complete
Module details
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
Show info about module content
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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