ENGR 2302
Vector Mechanics II: Dynamics
Spring 2024
Instructor: Dr. Saad Eways

1 Class and Contact Information

2 Course Information
Course Description: Calculus-based study of the dynamics of particles and rigid bod-
ies. 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do not have the prerequisites or you can not produce documentation, you should withdraw from the course or you will be withdrawn.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 do in this class.

6 Course Policies
1. Attendance/Class Participation:

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

• The class meets TTh 3:00 - 4:55 PM. 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 8) and is

  administered by the online McGraw Hill Connect Homework System.

• Gotoconnect.mheducation.com.Findyourcourse:ENGR2302Spring 2024 - 002 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

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 4/22.

• 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.

8 Copyrighted Material

All class materials provided on ACC web pages, electronic reserves, on disk, and in printed form are copyrighted and may not be reproduced without the written consent of the copyright holder. Reproduction means photocopying, scanning, copying downloaded files, or posting any of these on a server (web site).

6. Policy on Incompletes: A grade of incomplete should be reserved only for extreme cases meeting the following criteria.

(a) The student has had a documented life event beyond their control that will prevent

them from completing the semester on time.

(b) The Student is in good standing (Grade of C or better at the time of the life event from 1)

(c) The Student has completed most of the material in the course. Before assigning a grade of incomplete, the instructor and the student must agree to a

plan of action that includes a specific list of tasks to be completed by the student with a timeline of completion. This plan needs to be approved by the department chair (or

designee). Incompletes must be resolved before the final withdrawal date of the following

semester. Students receiving an I for Spring 2020 or Summer 2020 may complete remaining course requirements and convert the I to a completion grade during

the Fall 2020 semesters. The final date for conversion of spring and summer semester incompletes can be found at https://www.austincc.edu/coronavirus/

grades Students receiving an I for Spring 2020 or Summer 2020 who have not completed course requirements by the extended conversion date may request that the

I be converted to a W and that they receive a voucher to take the course in Spring 2021. These requests will be considered by the COVID-19 Spring 2021 Hardship

Review Committee. Approval would require extenuating circumstances that did not allow the student to complete the course requirements during the extended completion

time. Students may request an Incomplete from their faculty member if they believe circumstances warrant. The faculty member will determine whether the Incomplete

is appropriate to award or not. The following processes must be followed when awarding a student an I grade.

(a) Prior to the end of the semester in which the I is to be awarded, the student must meet with the instructor to determine a plan of action that identifies all of

the assignments and exams that must be completed prior to the deadline date. This meeting can occur virtually or in person. The instructor should complete

the Report of Incomplete Grade form with the plan of action and send it to the department chair (or designee) to be approved.

(b) Once approved, the faculty member will complete the form, including all requirements

to complete the course and the due date, sign (by typing in name) and then email it to the student. The student will then complete his/her section,

sign (by typing in name), and return the completed form to the faculty member to complete the agreement. A copy of the fully completed form can then be

emailed by the faculty member to the student and the department chair for each grade of Incomplete that the faculty member submits at the end of the semester.

(c) The student must complete all remaining work by the date specified on the form above. This date is determined by the instructor in collaboration with

the student, but it may not be later than the final withdrawal deadline in the subsequent long semester.

(d) Students will retain access to the course LMS through the subsequent semester

in order to submit work and complete the course. Students will be able to log on

to the course LMS and have access to the course section materials, assignments,

and grades from the course and semester in which the Incomplete was awarded.

(e) When the student completes the required work by the Incomplete deadline, the

instructor will submit an electronic Grade Change Form to change the students

performance grade from an I to the earned grade of A, B, C, D, or F.

If an Incomplete is not resolved by the deadline, the grade automatically converts

to an F. Approval to carry an Incomplete for longer than the following semester or session deadline is not frequently granted.

7. 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.

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 2024

Instructor: Dr. S. Eways

CHAPTER HOMEWORK DUE DATE

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

Chapter 11:   98, 106, 121, 127, 142, 150, 169 Tues 1/30

Chapter 12:   8, 11, 13, 23, 24, 30, 43, 50, 64 Thur 2/1

Chapter 12:   78, 80, 87, 88, 104, 110, 116 Thur 2/8

EXAM I Chapters 11, 12 Thur  2/15

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

Chapter 13:   126, 131, 134, 142, 146, 170, 174, 186 Tues 2/27

Chapter 14:   3, 10, 19, 22, 35, 40, 51, 55 Tues 3/5

Chapter 14:   58, 69, 76, 80, 91, 95 Thur 3/7

Chapter 15:   7, 10, 24, 40, 47, 52, 61, 70, 80, 91 Tues 3/19

Chapter 15:   109, 111, 117, 120, 123, 127, 142 Tues 3/26

EXAM II Chapters 13, 14, 15 Tues 4/2

Chapter 16:   6, 12, 14, 27, 30, 37, 58, 65, 69, 73 Tues 4/9

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

LAST DAY TO WITHDRAW MON 4/22

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

Chapter 17:   58, 59, 70, 80, 97, 101, 106, 143 Tues 4/30

Chapter 19:   20, 24, 26, 31, 37, 39, 42, 46, 55, 60 Thur 5/2

Chapter 19:   70, 75, 79, 89, 99, 115, 120, 129, 132, 139 Tues 5/7

FINAL EXAM Comprehensive Thur 5/9

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 2024 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 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 study to gain familiarity with the subject. Write down the three basic concepts. About 3 hours.

3. Divide the chapter in two halves.

4. Study the first half and do half of the homework problems of the first set.Youshould also study the solved sample problems. They are quite helpful. Note each chapter has two sets of homework problems. On your own with little help from others, you should be able to do 80% of these problems. If you are not able to do that, then your study was not good 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.

5. Study second half of the chapter and do what you did for the first half. This should be done second half of the week. About 6 hours.

6. Listthethreemainideasofthechapter.Doyouhaveagoodunderstandingofthese ideas? 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. Take all the exams.

11. Do not copy from the solutions manual. It is the anti-learning.

ENGR 2302
Vector Mechanics 2: Dynamics
Spring 2024
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. The solution of engineer-
ing 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.
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. Then the basic concept is expressed in an equation such as Newton’s Sec-
ond Law or the Work-Energy Principle. 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.

When I grade the homework, I look for the following items:
1. Diagram or diagrams showing axes, forces, moments, directions, components, resultants, etc.
2. FBD of the object under consideration. This diagram should show all the forces and moments acting on the object.
3. A basic equation expressing the basic concept contained in the problem such as an equation of motion, a conservation principle such as Newton’s second law or the
work-energy principle.
4. Solutions must contain all steps leading to the final answer. 
5. Intermediate and final nal answers must be accompanied by the appropriate units. Please see chapter (1) for a discussion of systems of units, unit conversions, problem solution method and numerical accuracy.
6. Your homework should be clean, clear and easily readable and well organized such that I am able to read, understand and assign the proper grade. If I can’t read it, I
can’t grade it. Problems which do not follow the above method and do not contain the elements stated above will not be graded and will earn zero credit.

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 2024

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 Foce
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 2024

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 Foce
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 2024

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.