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

Module 1: Course Introduction

Module 2: Particle Kinematics; Rectilinear Motion

Module 3: Rectilinear Motion Example

Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity

Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates

Module 6: Define Kinetics; Newton?s 2nd Law; Euler?s 1st Law; Locate Mass Center of Composite Body

Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I

Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II

Syllabus

Consent Form

Pdf Version of Module 1: Course Introduction Lecture

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Pdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture

Pdf Version of Module 3: Rectilinear Motion Example Lecture

Worksheet Solutions: Rectilinear Motion Example

Pdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture

Worksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates

Pdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture

Pdf Version of Module 6: Define Kinetics; Newton?s 2nd Law; Euler?s 1st Law; Locate Mass Center of Composite Body Lecture

Worksheet Solutions: Define Kinetics; Newton?s 2nd Law; Euler?s 1st Law; Locate Mass Center of Composite Body

Pdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture

Pdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture

Worksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II

Practice Problems

Solution of Quiz 1

Course Introduction; Particle Kinematics; Particle Kinetics ? Newton?s Laws and Euler?s Laws; Motion of Particles and Mass Centers of Bodies

Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring

Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles

Module 11: Impulse-Momentum Relationship; Define Impact

Module 12: Define Coefficient of Restitution; Solve an Impact Problem

Module 13: Define Angular Momentum; Euler?s 2nd Law (The Moment Equation)

Pdf Version of Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring Lecture

Pdf Version of Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles Lecture

Pdf Version of Module 11: Impulse-Momentum Relationship; Define Impact Lecture

Pdf Version of Module 12: Define Coefficient of Restitution; Solve an Impact Problem Lecture

Pdf Version of Module 13: Define Angular Momentum; Euler?s 2nd Law (The Moment Equation) Lecture

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Practice Problems

Solution of Quiz 2

Work-Energy Principle for Particles/Systems of Particles; Impulse and Momentum; Impact; Conservation of Momentum; Euler?s 2nd Law ? Moment of Momentum

Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation

Module 15: Solve a Relative Velocity problem

Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC)

Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem

Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation

Module 19: Solve a Relative Acceleration Problem

Pdf Version of Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation Lecture

Pdf Version of Module 15: Solve a Relative Velocity problem Lecture

Worksheet Solutions: Solve a Relative Velocity Problem

Pdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture

Pdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture

Worksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem

Pdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture

Pdf Version of Module 19: Solve a Relative Acceleration Problem Lecture

Worksheet Solutions: Solve a Relative Acceleration Problem

Practice Problems

Solution of Quiz 3

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation

Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface

Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve

Module 22: Solve a Rolling Wheel Problem

Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula

Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion

Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion

Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion

Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion

Pdf Version of Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface Lecture

Pdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture

Pdf Version of Module 22: Solve a Rolling Wheel Problem Lecture

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

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

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

Worksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion

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

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

Worksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion

Practice Problems

Solution of Quiz 4

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation II

Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion

Module 29: Solve a Problem for a Body Translating in 2D Planar Motion

Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia

Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia

Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion

Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion

Pdf Version of Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion Lecture

Pdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture

Worksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion

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

Pdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture

Worksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia

Pdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture

Pdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture

Worksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion

Practice Problems

Solution of Quiz 5

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum ? Angular Momentum; Equations of Motion I

Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion

Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration

Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion

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

Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion

Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion

Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion

Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion

Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion

Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture

Pdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture

Pdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture

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

Pdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture

Pdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture

Pdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture

Pdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture

Pdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture

Worksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion

Practice Problems

Solution of Quiz 6

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum ? Angular Momentum; Equations of Motion II

Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion

Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion

Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion

Module 46: Principle of Impulse-Momentum Example; Center of Percussion

Module 47: Course Conclusion

Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture

Pdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture

Worksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion

Pdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture

Pdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture

Where to go from here?

Pdf Version of Module 47: Course Conclusion Lecture

Practice Problems

Solution of Quiz 7

Planar (2D) Rigid Body Kinetics (continued): Impulse-Momentum Method; Conservation of Momentum. Course Conclusion.