HOUSTON COMMUNITY COLLEGE SOUTHWEST COLLEGE COURSE OUTLINE FOR ENGINEERING DYNAMICS Course Title: Engineering Dynamics Course Number : ENGR 2302 Class Number : 30493 Semester : Spring 2008 Time and location; Mondays and Wednesdays 7:30 PM – 9:30 PM Room WLOP 165 West Loop Center Instructor: Hosein Tahvilian Office Hours: By appointments only E-mail: Hosein_tah@yahoo.com Learning Web: http://learning.swc.hccs.edu Website (Department’s): http://swc2.hccs.edu/natsci Textbook Vector Mechanics for Engineers – Dynamics, 8th Edition Beer Ferdinand P, Johnston, Russell E. Jr. ; Clausen William E. McGraw-Hill Publishers (2007) ISBN-13 : 978 0-07-297693-9 ISBN-10: 0-07-297693-4 Course Catalog Description ENGR 2302 Engineering Dynamics Prerequisite: ENGR 2301 (Engineering Statics) with a grade of C or better and MATH 2415 or higher Credit: 3 (3 lecture, 1 lab) A continuation of Engineering Mechanics course, specifically designed for engineering majors. Topics include dynamics of particles in two and three dimensions, Dynamics of rigid bodies in two and three dimensions, introduction to mechanical vibrations. Course Learning outcomes: 1. Students should be able to demonstrate qualitative and quantitative understanding of Newtonian-Euler physics and basic equations underlying kinematics and kinetics of rigid bodies in 2D and 3D motion. 2. Students should be able to develop the skill to isolate rigid bodies and draw clear and appropriate Engineering Mechanics ENGR 2302 Syllabus free-body diagrams and thereby apply these skill to solution of kinematics and dynamics problems in 2-D and 3-D. 3. Students should be able to demonstrate an understanding of conservation laws/ principles in mechanics i.e., Law of conservation of energy, Law of conservation of Momentum (both linear and angular) and apply these principles as an alternative method to Newton’s laws of motion in solution of dynamics problems. Attendance Policy The HCCS attendance policy is stated in the Schedule of Classes. “Students are expected to attend classes regularly. Students are responsible for materials covered during their absences, and it is the student's responsibility to consult with instructors for make-up assignments. Class attendance is checked daily by instructors. Although it is the responsibility of the student to drop a course for non-attendance, the instructor has full authority to drop a student for excessive absences. A student may be dropped from a course for excessive absences after the student has accumulated absences in excess of 12.5% of the hours of instruction (including lecture and laboratory time).” Note that 12.5% is approximately 2 classes or labs for a 4 semester hour course, such as this one, which meets for 3 hours two times. If circumstances significantly prevent you from attending classes, please inform me. I realize that sometimes outside circumstances can interfere with school, and I will try to be as accommodating as possible, but please be aware of the attendance policy. Important Dates Classes begin/system January 14, 2008 Last date to Drop/Add/Swap January 20, 2008 Official day of record January 27, 2008 Spring Break March 12 – 18, 2008 Last date for administrative and student withdrawals April 5, 2008 – 4:30 PM Easter Holiday April 6-8, 2008 Instruction Ends May 4, 2008 Final Examination May 5 – 11, 2008 Semester Ends May 11, 2008 Grades Available to Students May 18, 2008 KT 2 Spring 2007 Engineering Mechanics ENGR 2302 Syllabus “Notice: Students who repeat a course three or more times may soon face significant tuition/fee increases at HCC and other Texas public colleges and universities. If you are considering course withdrawal because you are not earning passing grades, confer with your instructor/counselor as early as possible about your study habits, reading and writing homework, test-taking skills, attendance, class participation, and opportunities for tutoring or other assistance that might be available.” Disability Support Services (DSS) "Any student with a documented disability (e.g. physical, learning, psychiatric , vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at the respective college at the beginning of each semester .Faculty are authorized to provide only the accommodations requested by the Disability Support Services Office." For questions, contact Donna Price at 713-718-5165 or the Disability Counselor at each college (At Southwest College, contact Dr. Becky Hauri, 713-718-7909). Also visit the ADA web site at: http://www.hccs.edu/students/disability/index.htm. Faculty Handbook/Faculty Orientation is also available at http://www.hccs.edu/students/disability/faculty.htm Academic Honesty Students are responsible for conducting themselves with honor and integrity in fulfilling course requirements. Disciplinary proceedings may be initiated by the college system against a student accused of scholastic dishonesty. Penalties can include a grade of "0" or "F" on the particular assignment, failure in the course, academic probation, or even dismissal from the college. Scholastic dishonesty includes, but is not limited to, cheating on a test, plagiarism, and collusion. Examinations, Final course grade, grading scale and Make-up Policy: Three regular exams and a compulsory comprehensive final will be administered during the semester. Make-up exams will not be given, so make every effort to take the exams on their scheduled dates. Note: The final examination is compulsory (no student is exempted) and once a student takes the final examination, that student cannot receive a grade of “W” in the course. The final grade is based on the score out of 100% that the student accumulated from the three exams, the final exam and Homework assignments and quizzes. Here is the weighting of the categories: KT 3 Spring 2007 Engineering Mechanics ENGR 2302 Syllabus Grading Scale Exam I 20 % A = 90-100 % B = 80-89 % C = 70- 79 % D = 60-69 % F = < 60 % Exam II 20 % Exam III 20 % Final Exam 25 % Homework and quizzes 15 % Total 100 % Other Information As given on page 1 of this syllabus, Departmental Learning web site is http://learning.swc.hccs.edu/members. There are many resources on the Internet. These are interesting and informative, but spending long hours searching for sites or waiting for graphics intensive sites to load, is not beneficial! Your best immediate source of information is your textbook - make thorough use of it. Tentative outline for ENGR 2302 NB. This outline is subject to change as the semester progresses Week/ Date 1 Chapter 11: KINEMATICS OF PARTICLES Sections 11.1 Introduction to Dynamics Rectilinear Motion of Particles 11.2 Position, Velocity, and Acceleration 11.3 Determination of the Motion of a Particle 11.4 Uniform Rectilinear Motion 11.5 Uniformly Accelerated Rectilinear Motion 11.6 Motion of Several Particles *1 11.7 Graphical Solution of Rectilinear –Motion Problems * 11.8 Other Graphical Methods 2 Curvilinear Motion of Particles 11.9 Position Vector, Velocity, and Acceleration 11.10 Derivatives of vector Functions 11.11 Rectangular Components of Velocity and Acceleration 11.12 Motion Relative to s Frame in Translation 1 *These are optional Sections KT 4 Spring 2007 Engineering Mechanics ENGR 2302 Syllabus 11.13 Tangential and Normal Components 11.14 Radial and Transverse Components 3 12. KINETICS OF PARTICLES: NEWTON’S SECOND LAW 4 12.1 Introduction 12.2 Newton’s Second Law of Motion 12.3 Linear Momentum of a Particle. Rate of Change of Linear Momemtum 12.4 System of Units 12.5 Equation of Motion 12.6 Dynamic Equilibrium 12.7 Angular Momentum of a particle. Rate of Change of Angular Momentum 12.8 Equations of Motion in Terms of Radial and Transverse Components 12.9 Motion under a Central Force. Conservation of Angular Momentum 12.10 Newton’s Law of Gravitation * 12.11 Trajectory of a Particle under a Central Force. * 12.12 Application to Space Mechanics * 12.13 Keplers Law of Planetary Motion 5 13. KINETICS OF PARTICLES: ENERGY AND MOMENTUM METHODS 13.1 Introduction 13.2 Work of a Force 13.3 Kinetic Energy of a Particle. Principle of Work and Energy 13.4 Applications of Work and Energy 13.5 Power and Efficiency 13.6 Potential Energy * Exam I 6 KT 13.7 Conservative Forces 13.8 Conservation of Energy 13.9 Motion under a Conservative Central Force. Application to Space Mechanics 13.10 Principle of Impulse and Momentum 13.11 Impulsive Motion 13.12 Impact 13.13 Direct Central Impact 13.14 Oblique Central Impact 13.15 Problems Involving Energy and Momentum 5 Spring 2007 Engineering Mechanics ENGR 2302 Syllabus 7 14. SYSTEM OF 14.1 Introduction 14.2 Application of Newton’s Laws to the Motion of PARTICLES a System of Particles. Effective Forces 14.3 Linear and Angular Momentum of a System of Particles 14.4 Motion of the Mass Center of a System of Particles 14.5 Angular Momentum of a System of Particles about its Mass Center 14.6 Conservation of Momentum for a System of Particles 14.7 Kinetic Energy of a system of Particles 8 14.8 Work-Energy Principle. Conservation of Energy for systems of Particles 14.9 Principle of Impulse and Momentum for systems of Particles * 14.10 Variables Systems of Particles * 14.11 Steady Steams of Particles * 14.12 Systems Gaining or Losing Mass Exam II 10 15. SYSTEM OF PARTICLES 15.1 Introduction 15.2 Translation 15.3 Rotation about a Fixed Axis 15.4 Equations Defining the Rotation about a Fixed Axis 15.5 General plane Motion 15.6 Absolute and Relative Velocity in plane Motion 15.7 Instantaneous Center of Rotation in Plane Motion 15.8 Absolute Relative Acceleration in Plane Motion * 15.9 Analysis of Plane Motion in Terms of a Parameter 15.10 Rate of Change of a Vector with Respect to a Rotating Frame 15.11 Plane Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration * 15.12 Motion about a Fixed Point * 15.13 General Motion * 15.14 Three-Dimensional Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration * 15.15 Frame of Reference in General Motion KT 6 Spring 2007 Engineering Mechanics 11 ENGR 2302 16. PLANE MOTION OF RIGID BODIES: FORCES AND ACCELERATIONS Syllabus 16.1 Introduction 16.2 Equation of Motion for a Rigid Body 16.3 Angular Momentum of Rigid Body in Plane Motion 16.4 Plane Motion of Rigid Body. D’Alembert’s Principle * Exam II 13 and 14 17.PLANE MOTION OF RIGID BODIES: ENERGY AND MOMENTUM METHODS KT 16.5 Remark on the Axioms of the Mechanics of Rigid Bodies 16.6 Solution of Problems Involving the Motion of Rigid Body 16.7 System of Rigid Bodies 16.8 Constrained Plane Motion 17.1 Introduction 17.2 Principle of Work and Energy for a Rigid Body 17.3 Work of Forces Acting on a Rigid Body 17.4 Kinetic Energy of a Rigid Body in Plane Motion 17.5 Systems of Rigid Bodies 17.6 Conservation of Energy 17.7 Power 17.8 Principle of Impulse and Momentum for the Plane Motion of a Rigid Body 17.9 System of Rigid Bodies 17.10 Conservation of Angular Momentum 17.11 Impulsive Motion 17.12 Eccentric Impact 7 Spring 2007 Engineering Mechanics 15 ENGR 2302 18. KINETICS OF RIGID BODIES IN THREE DIMENSIONS Syllabus * 18.1 Introduction * 18.2 Angular Momentum of Rigid Body in Three Dimensions * 18.3 Application of the Principle of Impulse and Momentum to the Three- Dimensional Motion of a Rigid Body * 18.4 Kinetic Energy of Rigid Body in Three Dimensions * 18.5 Equations of Motion in Three Dimensions * 18.6 Euler’s Equations of Motion. Extension of D’Allembert’s Principle to the Motion of a Rigid Body in Three Dimensions * 18.7 Motion of a Rigid Body about a Fixed Point * 18.8 Rotation of Rigid Body about a fixed Axis * 18.9 Motion of a Gyroscope. Eulerian Angles * 18.10 Steady Precession of a Gyroscope * 18.11 Motion of an Axisymmetrical Body under No Force Exam III 16 19. MECHANICAL 19.1 Introduction Vibrations without Damping VIBRATIONS 19.2 Free Vibrations of Particles. Simple Harmonic Motion 19.3 Simple Pendulum (Approximate Solution) * 19.4 Simple Pendulum (Exact Solution) 19.5 Free Vibrations of Rigid Bodies 19.6 Application of the Principle of Conservation of Energy 19.7 Forced Vibrations Damped Vibrations * 19.8 Damped Free Vibrations * 19.9 Damped Forced Vibrations Final Exam KT * 19.10 Electrical Analogues 8 Spring 2007 Engineering Mechanics ENGR 2302 Syllabus Assignments: Practice problems and homework problems will be assigned from end chapter problems after every chapter is covered. Students are strongly advised to attempt all these selected problems and other endchapter problems from the textbook. The success in courses like this one depends on once comprehension of the subject matter and ability to solve as many problems as possible. General Suggestions Engineering is a vast field, ranging from the study of simple motions and free-fall to enormously complex particle motions. In this course, the major topics we will be covering are particle motion, work, energy and other related topics to these main course agenda. As you might suspect, it can be easy to fall behind and, as a result, to not be ready for the exams. Following are some general tips that may be helpful: Learning Engineering Dynamics takes time. A reasonable guide is to allow two hours √ of study for each hour of lecture. Heavy work and/or class loads are not compatible with learning engineering courses. √ Attend class regularly (!) and take generous notes during class. Ask questions. √ √ √ √ √ √ When beginning a new chapter, It is recommend that you read through it quickly the first time, just to give yourself a good feel for what it is about. If you are really on the job you will have done this before the class lecture on the chapter! You will understand what's going on in class much better if you do this. Next, start tackling the end of chapter problems! Often, working problems facilitates understanding much better than just reading and rereading the chapter itself. Engineering courses are "hands on" courses - working problems is essential. However, do not spend an inordinate amount of time on a single problem - skip it for the time being and go on to another. Try working some of the sample exercises. They are worked out in the chapter and are very helpful. Get a good, scientific calculator that has scientific notation ("EE" or "EXP" key), log, ln, x2, , etc. Business calculators usually do not have all of these features. Review the mathematics required for the course, i.e., vector algebra, rules of differentiation and integration, and properties of differentials as well as integrals. Study groups can be very helpful. Keep the group small though, no more than three or four people. Finally, keep a positive attitude! Engineering Dynamics can be hard, but with the right attitude and approach, you will succeed in mastering it! It is hoped that you will find this course to be an interesting and rewarding subject which will not only be useful in your academic major, but will give you a better insight into the many scientific challenges we are facing today. The instructor looks forward to working with you this semester! KT 9 Spring 2007