Faculty Syllabus

ENGR 2302
Vector Mechanics II: Dynamics
Spring 2026
Instructor: Dr. Saad Eways

1 Class and Contact Information

2 Course Information
Course Description: Calculus-based study of the dynamics of particles and rigid bodies. Includes force-mass-acceleration methods, work and energy, and impulse-momentum computations. Emphasis on two- and three-dimensional kinematics and dynamics, applied to a broad class of engineering problems.
Credit: 3 credit hours.
Prerequisites:

• ENGR 2301(Statics) or equivalent and
• MATH 2415 (Calculus III) or equivalent.
• By the second day of class, all students must present documentation showing they have satisfied ed the prerequisites.
• Examples of documentation: 1) recent grade report, 2) transcript.
• If you do not have the prerequisites or you can not produce documentation, you should withdraw from the course or you will be withdrawn.

Course Rationale/Objectives:

• Standard calculus-based engineering dynamics course intended for engineering majors.
• This course is intended to develop the student skills in solving dynamics problems of particles and rigid bodies in two and three dimensions using Newtons second law, work-energy and impulse-momentum methods.

5. Instructional Methodology

•  This course combines lecture, discussion and problem solving.
•  Student attendance is mandatory during the scheduled class sessions.
• The class meets TTh 3:00 - 4:55 PM. You will be given a 10-minute break.
•  I will introduce the basic ideas quickly and most of the class time will be spend in class discussions and problem solving sessions in which the student is an active participant.
• This is a problem solving class. 

6. Textbook: Vector Mechanics for Engineers: Dynamics, 12th edition, by F. P. Beer, E. R. Johnston Jr., P. J. Cornwell and B. P. Self.

7. Subject Matter: In this course we will cover chapters 11 through 17 and 19. We will omit some sections in these chapters and I will point them out as we go.

Grading System:

The distribution of grades is as follows:

Important Note:

• The time requirement for this class is about 15 hours a week.
• Thismuch time is needed to study the material, do the homework and prepare yourself for the exams.
• You need to make sure this much time is available in your schedule.
• If your other obligations do not allow you to spend the necessary time on this course, I strongly urge you to drop it and take it another semester when you are not so busy with other responsibilities.
• The time you spend studying and doing homework is the single most important factor in determining how well you learn the subject matter and how well you do in this class.

6 Course Policies
1. Attendance/Class Participation:

• Regular and punctual class attendance is expected of all students.

• The class meets  MW 8:20 - 10:20 AM. You will be given a 10-minute break.

• I will take attendance regularly. You will be counted absent if you are not in class more than 15 minutes.

• If you are absent 4 consecutive class days, you will be withdrawn.

• We will do class activities and solve problems in class. Most of these will be collected and graded

• NO MAKE-UP FOR CLASS ACTIVITIES.

2. Homework Policy:

• Homework is assigned as shown in the homework schedule (page 9) and is administered by the online McGraw Hill Connect Homework System.

• Go to connect.mheducation.com.Findyourcourse: ENGR2302 Spring 2026 - 001 and enroll.

• There is help here to show you how to register:https://www.mheducation. com/highered/support/connect/first-day-of-class/ia-blackboard. html

• I will ask you to do some homework problems in class as a "quiz". This will count as part of the HW grade.

• I will ask you to solve some HW problems and turn them in on paper. This will count as part of the HW grade.

3. Exam Policy:

• The exams will consist of problem solving like the homework and are given on the scheduled dates (see homework and exam schedule).

• The Final Exam is a cumulative exam and will be given on the last day of the semester.

4. Missed Exam Policy:

• No exam make-ups will be given without proper documentation of the absence, such as doctor’s note, which should state clearly that the student was physically unable to attend class on that day.

• Simply put you need to have a very very good and documented reason.

• When a make-up exam is given, it is not the same exam given to the class.

5. Withdrawal Policy:

• • This is your responsibility.
• • I reserve the right to drop a student if I feel it is necessary.
• If a student decides to withdraw, he or she should also verify that the with- drawal is recorded before the Final Withdrawal Date The final withdrawal day is Monday 4/27.

• State law permits students to withdraw from no more than six courses dur- ing their entire undergraduate career at Texas public colleges and universities. With certain exceptions, all course withdrawals automatically count towards this limit. Details regarding this policy can be found in the ACC college cata- log.

6. Student Discipline:

• Students enrolled in this course are expected to comply with the provisions of this syllabus and the Student Standards of Conduct.
• With the exception of scholastic dishonesty, violations of the Student Standards of Conduct will be reported to the Campus Dean of Student Services for disciplinary action.
• Any student suspected of scholastic dishonesty will meet in private with the professor to discuss the alleged offense(s) and review the evidence that supports the charge. After conferring with the student, the professor will dismiss the allegation or assess an academic penalty. A student will be informed in writing if an academic penalty is assessed. He or she should consult the Student Handbook for his/her rights and responsibilities.

7. Statement on Academic Integrity

• Austin Community College values academic integrity in the educational process.
• Acts of academic dishonesty/misconduct undermine the learning process, present a disadvantage to students who earn credit honestly, and subvert the academic mission of the institution.
• The potential consequences of fraudulent credentials raise additional concerns for individuals and communities beyond campus who rely on institutions of higher learning to certify students’ academic achievements and expect to benefit from the claimed knowledge and skills of their graduates.
• Students must follow all instructions given by faculty or designated college representatives when taking examinations, placement assessments, tests, quizzes, and evaluations. Actions constituting scholastic dishonesty include, but are not limited to:
• plagiarism, cheating, fabrication, collusion, falsifying documents, or the inappropriate use of the college’s information technology resources.
• Further information is available at https://www.austincc.edu/about-acc/academic-integrity-and-disciplinary-process

8. General Course Policy: This is a challenging engineering course for serious engineering students. You will need all of the 15 hours per week studying, solving

problems, studying again and preparing for the exams.

ENGR 2302

Vector Mechanics II: Dynamics

Spring 2026

Instructor: Dr. S. Eways

CHAPTER HOMEWORK DUE DATE

Chapter 11:   16, 23, 26, 30, 36, 49, 53, 54 Wed 1/28

Chapter 11:   98, 106, 121, 127, 142, 150, 169 Wed 2/4

Chapter 12:   8, 11, 13, 23, 24, 30, 43, 50, 64 Mon 2/9

Chapter 12:   78, 80, 87, 88, 104, 110, 116 Mon 2/16

EXAM I Chapters 11, 12 Mon 2/23

Chapter 13:   11, 16, 20, 41, 62, 90, 112 Mon 3/2

Chapter 13:   126, 131, 134, 142, 146, 170, 174, 186 Mon 3/9

Chapter 14:   3, 10, 19, 22, 35, 40, 51, 55 Wed 3/25

Chapter 14:   58, 69, 76, 80, 91, 95 Mon 3/30

Chapter 15:   7, 10, 24, 40, 47, 52, 61, 70, 80, 91 Mon 4/6

Chapter 15:   109, 111, 117, 120, 123, 127, 142 Mon 4/13

EXAM II Chapters 13, 14, 15 Mon 4/20

Chapter 16:   6, 12, 14, 27, 30, 37, 58, 65, 69, 73 Wed 4/22

Chapter 16:   76, 84, 89, 99, 108, 114, 134 Mon 4/27

LAST DAY TO WITHDRAW MON 4/27

Chapter 17:   9, 11, 14, 18, 19, 23, 37, 39, 47, 49 Wed 4/29

Chapter 17:   58, 59, 70, 80, 97, 101, 106, 143 Mon 5/4

Chapter 19:   20, 24, 26, 31, 37, 39, 42, 46, 55, 60 Wed 5/6

Chapter 19:   70, 75, 79, 89, 99, 115, 120, 129, 132, 139 Mon 5/11

FINAL EXAM Comprehensive Wed 5/13

9. General Course Policy: This is a challenging engineering course for serious engineering students. You will need all of the 15 hours per week studying, solving

problems, studying again and preparing for the exams.

ENGR 2302 Spring 2026 Schedule

ENGR 2302 Engineering Mechanics II: Dynamics

Steps to Success in this Course

The time you spend studying and doing homework is the single most important factor in determining how well you learn the subject matter of this course and how well you do in

this class.

The following plan, if followed, will improve your chance of succeeding in this course. The time requirement for this course is on average about 15 hours per week outside the

classroom. Here are some suggestions on how it should be divided.

1. Form a study group.

2. Study ahead. You know the schedule, so study the subject before coming to class. This is a quick (yet very important) study to gain familiarity with the subject. About 2 hours.

3. Each chapter has two homework sets and given two weeks. One HW set per week.

4. Divide the chapter to four parts.

5. Study the first part including the solved sample problems in the book and do half of the homework problems of the first set.

•   The solved sample problems are very similar to the homework problems and are very helpful in teaching you the subject.
•   On your own with little help from others, you should be able to do 70% of these problems. If you are not able to do that, then your study was not thorough

enough. Which sections are you having difficulties with? Go back and study these sections.

•   If you are having difficulty with a problem from section 3 for example, go back and study section 3 and try to see if there is a solved sample problem from that section.
•   This study should be done first half of the week. About 6 hours.
•   Repeat the above steps and study the second part of the chapter. This should be done in the second half of the week.
•   Repeat the above steps to study the second half of the chapter the following week.

6. List the three main concepts of the chapter. Do you have a good understanding of these concepts? Summarize each in a short paragraph, include FBD’s, and basic equations.

7. Write down the questions and the problems you had difficulty with and bring them up in class or come see me during office hours. Discuss these questions with

your classmates. One way or another, get your questions answered.

8. Go to the Learning Lab. They have qualified tutors who can help you and answer your questions. www.austincc.edu/tutor.

9. Come to class on a regular basis, listen, ask questions and participate.

10. Come to Office Hours and get the help you need.

11. Do not copy homework solutions from solutions manual or anywhere else. Copying does NOT lead to learning.

Statement on the use of AI in this class

1. • The education you get in courses like this one is foundational. It will serve as the foundation of your knowledge base as you move forward in your engineer-ing education and later on as a professional engineer.
   • All the work you do and submit for credit in this class such as homework, lab reports and exams should be the result of your efforts. It should lead to learning, improving your engineering knowledge and skills and furthering your educational goals.
   • The use of AI to do your homework, class activities and exams is against my policy in this course.
   • Class work turned in to me will receive zero credit if it contains material copied from AI sources.
   • I encourage you to continue to learn about AI and its potential.
   • I strongly encourage you to develop your own knowledge base, understanding of science, mathematics and engineering principles and critical thinkings skills and abilities and not rely on others.
   • We all should strive to be independent thinkers, not relying on others to tell us what to think and what to do.

                                                            Classroom Protocol

1. Respect others as you want them to respect you.
2. Profanities: No profanities in the classroom. I will ask you to leave the classroom.
3. Phones:
   • All phones should be off. You will get a 10-minute break, you can use your phone then.
   • You want to use your phone, go out into the hallway, use your phone and come back.
   • If you are on your phone in class, I will ask you to go out into the hallway.
   • If you walk out in the hallway to use your phone for the third time, take your things with you. You are disrupting the class and you should go home.
   • If you have a family or job-related emergency and you are expecting a call or you need to make a call, please let me know ahead of time.
4. Computers:
   • Only for taking class notes for this course.
   • Not for browsing, or doing HW for your next class.
   • If you want to use your computer for anything other than taking notes for this course, go out into the hallway and play with your computer.
   • All computers (and phones) should be off when working on class activities.
5. Electronics Closed, Minds Open.

ENGR 2302
Vector Mechanics 2: Dynamics
Spring 2026
Instructor: Dr. S. Eways

Textbook: Vector Mechanics for Engineers: Statics, 12th edition, by F. P. Beer, E. R. Johnston Jr., P. J. Cornwell and B. P. Self.
Subject Matter: In this course we will cover chapters 11 through 19. We will omit some sections in these chapters and I will point them out as we go.

Important Note: The time requirement for this class is about 15 hours a week. This much time is needed to study the material, do the homework and prepare yourself for the exams. You need to make sure this much time is available in your schedule. If your other obligations do not allow you to spend the necessary time on this course, I strongly urge you to drop it and take it another semester when you are not so busy with other responsibilities.
The time you spend studying and doing homework is the single most important factor in determining how well you do in this class.

ENGR 2302
Vector Mechanics II: Dynamics

Important Note on Homework

1. Working problems is the single most important way to learn the basic ideas in this course and the best way to prepare yourself for the exams.

2. The solution of engineering problems should follow the standard method followed in the textbook examples and also used in the classroom. This is the engineering

method of problem solving.

3. In this method, a free-body-diagram is drawn showing all the forces acting on the object. There may be more than one of these required for the solution of a certain

problem.

4. Then the basic concept is expressed in an equation such as Newton’s Second Law or the Work-Energy Principle.

5. Then an answer is found after some algebraic manipulation. I expect this standard method to be used in the solution of homework problems. I also expect your solution

to be neat, organized and logically systematic.

6. Solutions must contain all steps leading to the final answer.

7. Intermediate and final answers must be accompanied by the appropriate units and must be rounded off to the appropriate number of significant figures. Please see

chapter (1) for a discussion of systems of units, unit conversions, problem solution method and numerical accuracy.

8. Every chapter in this textbook has several examples. There are problems solved in detail. I recommend that you study these examples.

9. ”Solving Problems on Your Own” is a summary of the methods used to solve problems in each section. You find it at the end of the section.

10. ”Review and Summary” is a summary of the basic concepts and equations of each chapter. You find it at the end of the chapter.

11. The purpose of doing homework is learning. To do well on the exams, you need to learn the concepts and sufficient practice solving problems.

12. Do not reduce the homework to a battle with the computer. You will not win this battle. Others before you tried.

13. Doing the homework and solving problems lead to learning, copying the homework leads to nothing, but a waste of your time.

ENGR 2302
Vector Mechanics II: Dynamics
Instructor: Dr. S. Eways
These problems are intended as extra practice. Generally the homework does not give you enough practice to master the concepts and become proficient at solving problems to the point where you can do well on the exams. The student is encouraged to do as many of these problems as needed to master the concepts. These problems are not to be turned in.
CHAPTER PRACTICE PROBLEMS
Chapter 11:  1, 3, 4, 5, 9, 21, 44, 47, 50, 56, 58, 102, 107, 112, 117, 119, 123, 132, 138, 141, 155, 159, 166, 185, 193
Chapter 12:  5, 16, 17, 20, 27, 32, 34, 36, 38, 39, 40, 45, 47, 49, 52, 69, 70, 72
                     81, 86, 89, 102, 103, 107, 112, 114, 115, 121.
Chapter 13:  9, 13, 17, 19, 21, 22, 26, 33, 35, 36, 37, 39, 42, 49, 51, 52, 57, 58, 64, 65,
                    70, 71, 73, 80, 81, 89, 100, 105, 106, 110, 114, 115, 116, 118, 122, 123, 124, 129,
                    132, 135, 137, 140, 141, 149, 151, 165, 169, 171, 179, 190, 193.
Chapter 14:  1, 8, 11, 12, 17, 20, 24, 39, 45, 47, 50, 68, 72, 75, 78, 96, 100.
Chapter 15:  1, 2, 3, 5, 9, 17, 18, 19, 22, 23, 25, 29, 30, 31, 41, 44, 46, 53, 57, 58, 62, 69,
                     76, 79, 81, 87, 88, 89, 110, 113, 122, 124, 130, 139, 143.
Chapter 16:  1, 2, 3, 4, 8, 9, 11, 15, 16, 23, 24, 25, 28, 29, 32, 33, 34, 35, 36, 38, 47, 55, 57,
                     63, 70, 71, 74, 75, 78, 83, 88, 90, 91, 94, 95, 113, 119, 131, 137, 163.
Chapter 17:  1, 2, 3, 7, 8, 15, 16, 17, 31, 35, 36, 46, 57, 60, 61, 62, 63, 66, 67, 68, 76, 77, 78,
                     96, 99, 100, 102, 104, 113, 116, 121, 123, 127, 129, 138, 139, 141.
Chapter 19:  4, 6, 7, 8, 9, 10, 11, 13, 17, 19, 21, 22, 23, 27, 28, 29, 30, 33, 49, 50, 56, 57, 61,
                     71, 72, 76, 77, 78, 80, 98, 100, 101, 102, 113, 116, 122, 123.
 

ENGR 2302

Vector Mechanics II: Dynamics

Spring 2026

The subject matter of this course covers chapters 11 - 19 of the textbook: Vector Mechanics for Engineers, 12th edition by Beer,  Johnston, Cornwell and Self.

ENGR 2302
VECTOR MECHANICS: DYNAMICS
Required Topics
All instructors must cover the following sections from the approved textbook, Beer, Johnston, Cornwell and Self Vector Mechanics for Engineers: Dynamics, 12th ed. These constitute the minimum course content. Any or all additional sections in the textbook, or additional supplementary material not covered in the textbook, may be added at the instructor’s discretion.
Chapter 11: Kinematics of Particles
11.1 Rectilinear Motion of Particles
11.1A Position, Velocity and Acceleration
11.1B Determining the Motion of a Particle
11.2 Special Cases and Relative Motion
11.2A Uniform Rectilinear Motion
11.2B Uniformly Accelerated Rectilinear Motion
11.2C Motion of Several Particles
11.3 Graphical Solutions (Optional)
11.4 Curvilinear Motion of Particles
11.4A Position, Velocity and Acceleration Vectors
11.4B Derivatives of Vector Functions
11.4C Rectangular Components of Velocity and Acceleration
11.4D Motion Relative to a Frame in Translation
11.5 Non-Rectangular Components
11.5A Tangential and Normal Components
11.5B Radial and Transverse Components
Chapter 12: Kinetics of Particles: Newton’s Second Law
12.1 Newton’s Second Law and Linear Momentum
12.1A Newton’s Second Law of Motion
12.1B Linear Momentum of a Particle and its Rate of Change
12.1C Systems of Units
12.1D Equations of Motion
12.2 Angular Momentum and Orbital Motion
12.2A Angular Momentum of a Particle and its Rate of Change
12.2B Motion Under a Central Force and Conservation of Angular Momentum
12.2C Newton’s Law of Gravitation
12.3 Applications of Central-Force Motion
12.3A Trajectory of a Particle Under a Central Force
12.3B Application to Space Mechanics
12.3C Kepler’s Laws of Planetary Motion
Chapter 13: Kinetics of Particles: Energy and Momentum Methods
13.1 Work and Energy
13.1A Work of a Force
13.1B Principle of Work and Energy
13.1C Applications of the Principle of Work and Energy
13.1D Power and Efficiency
13.2 Conservation of Energy
13.2A Potential Energy
13.2B Conservative Forces
13.2C The Principle of Conservation of Energy
13.2D Application to Space Mechanics: Motion Under a Conservative Central Force
13.3 Impulse and Momentum
13.3A Principle of Impulse and Momentum
13.3B Impulsive Motion
13.4 Impacts
13.4A Direct Central Impact
13.4B Oblique Central Impact
13.4C Problems Involving Multiple Principles
Chapter14: System of Particles
14.1 Applying Newton’s Second Law and Momentum Principles to Systems of Particles
14.1A Newton’s Second Law for a System of Particles
14.1B Linear and Angular Momentum of a System of Particles
14.1C Motion of the Mass Center of a System of Particles
14.1D Angular Momentum of a System of Particles About its Mass Center
14.1E Conservation of Momentum for a System of Particles
14.2 Energy and Momentum Methods for a System of Particles
14.2A Kinetic Energy of a System of Particles
14.2B Work-Energy Principle and Conservation of Energy for a System of Particles
14.2C Impulse-Momentum Principle and Conservation of Momentum for a System of Particles
14.3 Variable Systems of Particles (Optional)
14.3A Steady Stream of Particles
14.3B Systems Gaining or Losing Mass
Chapter 15: Kinematics of Rigid Bodies
15.1 Translation and Fixed Axis Rotation
15.1A Translation
15.1B Rotation About a Fixed Axis
15.1C Equations Defining the Rotation of a Rigid Body About a Fixed Axis
15.2 General Plane Motion: Velocity
15.2A Analyzing General Plane Motion
15.2B Absolute and Relative Velocity in Plane Motion
15.3 Instantaneous Center of Rotation
15.4 General Plane Motion: Acceleration
15.4A Absolute and Relative Acceleration in Plane Motion
15.4B Analysis of Plane Motion in Terms of a Parameter
15.5 Analyzing Motion with Respect to a Rotating Frame (Optional)
15.6 Motion of a Rigid Body in Space (Optional)
15.7 Motion Relative to a Moving Reference Frame (Optional)
Chapter 16: Plane Motion of Rigid Bodies: Forces and Accelerations
16.1 Kinetics of a Rigid Body
16.1A Equations of Motion for a Rigid Body
16.1B Angular Momentum of a Rigid Body in Plane Motion
16.1C Plane Motion of a Rigid Body
16.1D A Remark on the Axioms of the Mechanics of Rigid Bodies
16.1E Solution of Problems Involving the Motion of a Rigid Body
16.1F Systems of Rigid Bodies
16.2 Constrained Plane Motion
Chapter 17: Plane Motion of Rigid Bodies: Energy and Momentum Methods
17.1 Energy Methods for a Rigid Body
17.1A Principle of Work and Energy
17.1B Work of Forces Acting on a Rigid Body
17.1C Kinetic Energy of a Rigid Body in Plane Motion
17.1D Systems of Rigid Bodies
17.1E Conservation of Energy
17.1F Power
17.2 Momentum Methods for a Rigid Body
17.2A Principle of Impulse and Momentum
17.2B Systems of Rigid Bodies
17.2C Conservation of Angular Momentum
17.3 Eccentric Impact
Chapter 18: Kinetics of Rigid Bodies in Three Dimensions (Optional)
18.1 Energy and Momentum of a Rigid Body
18.2 Motion of a Rigid Body in Three Dimension
18.3 Motion of a Gyroscope
Chapter 19: Mechanical Vibrations
19.1 Vibrations without Damping
19.1A Simple Harmonic Motion and Free Vibrations of Particles
19.1B Simple Pendulum (Approximate Solution)
19.1C Simple Pendulum (Exact Solution)
19.2 Free Vibrations of Rigid Bodies
19.3 Applying the Principle of Conservation of Energy
19.4 Forced Vibrations
19.5 Damped Vibrations
19.5A Damped Free Vibrations
19.5B Damped Forced Vibrations
19.5C Electrical Analogs

ENGR 2302

Vector Mechanics II: Dynamics

Spring 2026

The subject matter of this course covers chapters 11 - 19 of the textbook: Vector Mechanics for Engineers, 12th edition by Beer,  Johnston,  Cornwell and Self.

ENGR 2302
VECTOR MECHANICS: DYNAMICS
Required Topics
All instructors must cover the following sections from the approved textbook, Beer, Johnston, Cornwell and Self Vector Mechanics for Engineers: Dynamics, 11th ed. These constitute the minimum course content. Any or all additional sections in the textbook, or additional
supplementary material not covered in the textbook, may be added at the instructor’s discretion.
Chapter 11: Kinematics of Particles
11.1 Rectilinear Motion of Particles
11.1A Position, Velocity and Acceleration
11.1B Determining the Motion of a Particle
11.2 Special Cases and Relative Motion
11.2A Uniform Rectilinear Motion
11.2B Uniformly Accelerated Rectilinear Motion
11.2C Motion of Several Particles
11.3 Graphical Solutions (Optional)
11.4 Curvilinear Motion of Particles
11.4A Position, Velocity and Acceleration Vectors
11.4B Derivatives of Vector Functions
11.4C Rectangular Components of Velocity and Acceleration
11.4D Motion Relative to a Frame in Translation
11.5 Non-Rectangular Components
11.5A Tangential and Normal Components
11.5B Radial and Transverse Components
Chapter 12: Kinetics of Particles: Newton’s Second Law
12.1 Newton’s Second Law and Linear Momentum
12.1A Newton’s Second Law of Motion
12.1B Linear Momentum of a Particle and its Rate of Change
12.1C Systems of Units
12.1D Equations of Motion
12.2 Angular Momentum and Orbital Motion
12.2A Angular Momentum of a Particle and its Rate of Change
12.2B Motion Under a Central Force and Conservation of Angular Momentum
12.2C Newton’s Law of Gravitation
12.3 Applications of Central-Force Motion
12.3A Trajectory of a Particle Under a Central Force
12.3B Application to Space Mechanics
12.3C Kepler’s Laws of Planetary Motion
Chapter 13: Kinetics of Particles: Energy and Momentum Methods
13.1 Work and Energy
13.1A Work of a Force
13.1B Principle of Work and Energy
13.1C Applications of the Principle of Work and Energy
13.1D Power and Efficiency
13.2 Conservation of Energy
13.2A Potential Energy
13.2B Conservative Forces
13.2C The Principle of Conservation of Energy
13.2D Application to Space Mechanics: Motion Under a Conservative Central Force
13.3 Impulse and Momentum
13.3A Principle of Impulse and Momentum
13.3B Impulsive Motion
13.4 Impacts
13.4A Direct Central Impact
13.4B Oblique Central Impact
13.4C Problems Involving Multiple Principles
Chapter14: System of Particles
14.1 Applying Newton’s Second Law and Momentum Principles to Systems of Particles
14.1A Newton’s Second Law for a System of Particles
14.1B Linear and Angular Momentum of a System of Particles
14.1C Motion of the Mass Center of a System of Particles
14.1D Angular Momentum of a System of Particles About its Mass Center
14.1E Conservation of Momentum for a System of Particles
14.2 Energy and Momentum Methods for a System of Particles
14.2A Kinetic Energy of a System of Particles
14.2B Work-Energy Principle and Conservation of Energy for a System of Particles
14.2C Impulse-Momentum Principle and Conservation of Momentum for a System of Particles
14.3 Variable Systems of Particles (Optional)
14.3A Steady Stream of Particles
14.3B Systems Gaining or Losing Mass
Chapter 15: Kinematics of Rigid Bodies
15.1 Translation and Fixed Axis Rotation
15.1A Translation
15.1B Rotation About a Fixed Axis
15.1C Equations Defining the Rotation of a Rigid Body About a Fixed Axis
15.2 General Plane Motion: Velocity
15.2A Analyzing General Plane Motion
15.2B Absolute and Relative Velocity in Plane Motion
15.3 Instantaneous Center of Rotation
15.4 General Plane Motion: Acceleration
15.4A Absolute and Relative Acceleration in Plane Motion
15.4B Analysis of Plane Motion in Terms of a Parameter
15.5 Analyzing Motion with Respect to a Rotating Frame (Optional)
15.6 Motion of a Rigid Body in Space (Optional)
15.7 Motion Relative to a Moving Reference Frame (Optional)
Chapter 16: Plane Motion of Rigid Bodies: Forces and Accelerations
16.1 Kinetics of a Rigid Body
16.1A Equations of Motion for a Rigid Body
16.1B Angular Momentum of a Rigid Body in Plane Motion
16.1C Plane Motion of a Rigid Body
16.1D A Remark on the Axioms of the Mechanics of Rigid Bodies
16.1E Solution of Problems Involving the Motion of a Rigid Body
16.1F Systems of Rigid Bodies
16.2 Constrained Plane Motion
Chapter 17: Plane Motion of Rigid Bodies: Energy and Momentum Methods
17.1 Energy Methods for a Rigid Body
17.1A Principle of Work and Energy
17.1B Work of Forces Acting on a Rigid Body
17.1C Kinetic Energy of a Rigid Body in Plane Motion
17.1D Systems of Rigid Bodies
17.1E Conservation of Energy
17.1F Power
17.2 Momentum Methods for a Rigid Body
17.2A Principle of Impulse and Momentum
17.2B Systems of Rigid Bodies
17.2C Conservation of Angular Momentum
17.3 Eccentric Impact
Chapter 18: Kinetics of Rigid Bodies in Three Dimensions (Optional)
18.1 Energy and Momentum of a Rigid Body
18.2 Motion of a Rigid Body in Three Dimension
18.3 Motion of a Gyroscope
Chapter 19: Mechanical Vibrations
19.1 Vibrations without Damping
19.1A Simple Harmonic Motion and Free Vibrations of Particles
19.1B Simple Pendulum (Approximate Solution)
19.1C Simple Pendulum (Exact Solution)
19.2 Free Vibrations of Rigid Bodies
19.3 Applying the Principle of Conservation of Energy
19.4 Forced Vibrations
19.5 Damped Vibrations
19.5A Damped Free Vibrations
19.5B Damped Forced Vibrations
19.5C Electrical Analogs

ENGR 2302

Vector Mechanics II: Dynamics

Spring 2026

ENGR 2302 Student Learning Outcomes

Student Learning Outcomes
Upon successful completion of this course, students will be able to:
1. Express dynamic quantities as vectors in terms of cartesian components, polar coordinates, and normal-tangential coordinates.
2. Compute mass moments of inertia for systems of particles and rigid bodies.
3. Solve kinematic problems involving rectilinear and curvilinear motion of particles.
4. Solve kinetic problems involving a system of particles using Newton’s Second Law.
5. Apply the principles of work and energy, conservation of energy, impulse and momentum, and conservation of momentum to the solution of engineering problems
involving particles and systems of particles.
6. Solve kinematic problems involving the translation and rotation of a rigid body.
7. Solve kinetic problems involving planar translation and rotation of rigid bodies.
8. Apply the principles of work and energy, conservation of energy, impulse and momentum, and conservation of momentum to the solution of engineering problems
involving rigid bodies in planar motion.

General Education Competencies
Upon completion of this course, students will demonstrate competence in:
1. Communication Skills:  Develop, interpret, and express ideas and information through written, oral and visual communication that is adapted to purpose, structure, audience, and medium.
2. Critical Thinking Skills:  Gather, analyze, synthesize, evaluate and apply information for the purposes of innovation, inquiry, and creative thinking.
3. Empirical and Quantitative Skills:  Apply mathematical, logical and scientific principles and methods through the manipulation and analysis of numerical data or observable facts resulting in informed conclusions.
4. Teamwork:  Consider different points of view to work collaboratively and effectively in pursuit of a shared purpose or goal.