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

Approx. 23 hours to complete

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Course Summary

Learn about dynamics in engineering and physics with this course. Gain insights into Newton's laws of motion and their applications in real-world problems.

Key Learning Points

Understand how to apply Newton's laws of motion to analyze the motion of objects
Gain knowledge of the concepts of work, energy, and momentum
Learn how to apply principles of dynamics to engineering and physics problems

Job Positions & Salaries of people who have taken this course might have

Mechanical Engineer
- USA: $70,000 - $100,000
- India: ₹500,000 - ₹1,500,000
- Spain: €25,000 - €40,000
Physics Teacher
- USA: $45,000 - $75,000
- India: ₹300,000 - ₹700,000
- Spain: €18,000 - €30,000
Aerospace Engineer
- USA: $85,000 - $120,000
- India: ₹700,000 - ₹2,000,000
- Spain: €30,000 - €50,000

Learning Outcomes

Understand the principles of dynamics and how they apply to real-world problems
Develop problem-solving skills in engineering and physics
Gain knowledge of classical mechanics and kinematics

Prerequisites or good to have knowledge before taking this course

Basic knowledge of calculus and physics
Familiarity with Newton's laws of motion

Course Difficulty Level

Intermediate

Course Format

Online
Self-paced
Video lectures

Similar Courses

Statics and Mechanics of Materials
Introduction to Aerospace Engineering
Classical Mechanics

Related Education Paths

Notable People in This Field

Isaac Newton
Leonhard Euler
Galileo Galilei

Related Books

Description

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.

--------------------------- 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. --------------------------- 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. --------------------------- 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.

Outline

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

Work-Energy Principle for Particles/Systems of Particles
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
Earn a Georgia Tech Badge/Certificate/CEUs
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

Planar (2D) Rigid Body Kinematics I
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

Planar (2D) Rigid Body Kinematics II
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

Planar (2D) Rigid Body Kinetics I
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

Planar (2D) Rigid Body Kinetics II
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
Solution of Quiz 6
Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion II

Planar (2D) Rigid Body Kinetics III
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
Practice Problems
Solution of Quiz 7
Planar (2D) Rigid Body Kinetics (continued): Impulse-Momentum Method; Conservation of Momentum. Course Conclusion.

Summary of User Reviews

This course on Dynamics has received rave reviews from students who found it to be comprehensive and engaging. Many users appreciated the instructor's ability to explain complex concepts in an easy-to-understand manner.

Key Aspect Users Liked About This Course

The instructor's ability to explain complex concepts in an easy-to-understand manner.

Pros from User Reviews

Comprehensive course material
Engaging lectures
Interesting assignments
Excellent instructor
Great value for the price

Cons from User Reviews

Some users found the course too challenging
Limited interaction with other students
Occasional technical issues with the platform
Not suitable for beginners
Some users felt the course lacked practical applications

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