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Engineering Dynamics ENGR 2090 Spring
Course Catalog Description :
Description: The course is an integrated development of modeling and problem-solving techniques for particle and rigid- body motion emphasizing the use of free-body diagrams and vector algebra. Objectives/Learning Outcomes: The student should master the basic principles of particle and rigid body dynamics. The student should be able to systematically apply these principles to mechanical systems arising in diverse aspects of technology. The student should be able to solve the mathematical equations which govern these systems and physically interpret the results. To these ends the student should master vector algebra at a high level. Topics Covered: two- and three-dimensional kinematics of particles and rigid bodies; two- dimensional kinetics of particles and rigid bodies using Newton’s 2nd^ Law, the energy method, and the impulse-momentum method; introduction to three-dimensional kinetics of rigid bodies. (4 credits)
Prerequisites :
ENGR-1100: Introduction to Engineering Analysis (Engineering Mechanics: Statics) PHYS-1100: Physics 1 (Mechanics)
Corequisite:
MATH-2400: Introduction to Differential Equations
Instructor:
Mohammad Poursina Office: JEC 2042, E-mail: [email protected] Course Office Hours: Tuesday 5:15-6:45, Thursday 5:30-7, and by appointment
Section:
Section 4: Tuesday, Friday: 2-3:50 PM; DARRIN 330, CRN: 85040 TA: Zhi Li, Email: [email protected] TA Office Hours: Wednesday 3-4:30, Friday 12-1:30 JEC 2001
Please Note:
There will be graded quizzes during the semester, during the last half hour portion of the class. Most quizzes will be announced the class period before, but surprise quizzes are possible. You must be present for the whole class period to take the quiz. The quiz with the lowest grade will be dropped. Attendance at class is mandatory and will be taken often. If I do not take attendance, you are assumed to be present. Submitting completed quizzes and returning graded quizzes constitutes taking attendance. Generally, the class format will be as follows. I will go over the theory and background for about one half hour. Then, I will work problems. Some of the problems will be
handed out on individual worksheets. It may be possible to solve more problems if time allows. The problems which are not solved in the class will be considered as homework. Homework problems will be assigned, but will not be collected or graded. Homework problems will be available on LMS. Solutions will be provided before the upcoming quizzes. Some bonus problems may be assigned and will be collected. These problems are designed for those self-motivated students who want more challenges. As such, students can only expect the instructor or TA to help them clarify and understand the problem before submitting their solutions. The solution of the bonus problems will be posted on LMS. After posting the solution, bonus problems are treated as homework. As such, all students are expected to work these problems since they may appear in the tests. According to the number of correctly answered bonus problems, 0-5 points will be added to the final (last) exam. A review session will be held a couple of days before each test out of the class schedule. The time of these sessions will be announced.
Textbook:
Engineering Mechanics: Dynamics J.L. Meriam and L.G. Kraige. 6 th^ Edition, Wiley 2010 (Student value edition) ISBN 978-0-470-49978-
Homework Assignments :
On average, three homework problems will be assigned for each class. It is only through individual problem solving that will you uncover what you do not understand and thus prepare yourself for quizzes, tests and the final. These problems are not to be handed in , but should ideally be completed by the next class after the assignment is given. Quiz and test problems will be very similar to the homework problems and example problems worked in class. If you can work the homework problems and the class example problems, you will do very well in the course.
Quizzes:
There will be in-class, closed-book, closed-note, 20-30 minute quizzes during the semester. The overall quiz grade comprises 15% of your final grade. You will be given the formulas needed. There are no make-up quizzes. Take-home quizzes will be assigned. Students must solve all the questions in the take-home quiz. Only one problem will be graded. Students are penalized for any unsolved problem. For instance, if you are assigned 2 problems, and you don’t solve one problem, you will automatically loose 5/10. All the take-home quizzes must be turned in following the attached sample, otherwise they won’t be graded. If you have a valid excuse, your quiz grade will be proportionally based on fewer than the total number of quizzes. We accept at your word most reasonable quiz excuses, especially if you ask beforehand. For instance if you wake up with a horrible headache and send the instructor an email before class, the excuse will likely be accepted. If you ask for an excuse after class, we will probably be skeptical and may or may not grant the excuse.
forms are violations of the trust between students and teachers. Collaborative discussion on homework assignments is encouraged, but copying is not permitted; all homework assignments must represent the student’s own work. Submission of any homework assignment in violation of this policy will result in a grade of zero for that homework assignment. Of course, no collaboration of any kind or use of unauthorized notes/materials is permitted on in-class exams. Violation of this policy will result in a grade of zero for the exam.
Grade Summary:
Attendance / Class participation 5% Graded Quizzes 15% Tests (20%, 20%, 15%) 55% Final Exam 25% Bonus problems 0-5 points are added to the final exam.
Grade Appeal :
Students are encouraged to discuss their grades with the instructor as frequently as needed and to seek assistance at any time from either the instructor or TA. Quiz grades can only be appealed at the end of the course, when the entire set of quizzes will be considered. Test appeals should be made within one week of the return of the test to the student. The student should resubmit the test to the instructor along with the grading complaint in writing. The instructor will pass the appeals to the TA who will regrade the test, keeping in mind consistency with the overall grading scheme. If the student is not satisfied with this outcome, the instructor will be the final arbiter.
Course Learning Objectives:
When taking a new engineering course, students always ask where the course fits in their overall engineering education and why the course is important. Engineers are always either analyzing existing systems or designing new ones, usually as an improvement of some existing system. When confronted with an engineering system that one needs to understand and possibly improve, once one has a qualitative understanding of how the system works, there are two actions an engineer can take: measure the system or model the system. The process that embodies these two activities is called the dynamic system investigation process and is described in the next section. This course deals with the mathematical modeling of mechanical dynamic situations, components, and devices, represented as a particle, a system of particles, a rigid body, or as interconnected rigid bodies. We neglect in this course the fact that all real mechanical components can deform, an assumption that must, of course, be justified. The physical model of the mechanical device to be analyzed is given in the problem statement where usually the simplifying assumptions made are either given or are obvious. This is not the case in real engineering practice. Real-world devices and systems are very complex and can be represented by a hierarchy of models, from the most realistic and complex to the simpler, less complex, and more amenable to analysis and design iteration. We focus in this course primarily on applying the laws of nature to the physical model and on developing the mathematical equations of motion, and to a lesser degree on the prediction of the
dynamic behavior through the solution of the equations of motion, either analytically or numerically. Dynamics is the branch of mechanics that deals with the motion of bodies under the action of forces. We divide the course into two general areas: kinematics and kinetics. Kinematics is the study of the geometry of motion without reference to the forces which either cause the motion or are generated as a result of the motion. It is used to relate position, velocity, acceleration, and time without reference to the cause of the motion. Kinetics is the study of the relation existing between the forces acting on a body, the mass distribution of the body, and the motion of the body. It is used to predict the motion caused by given forces or to determine the forces required to produce a given motion.
Required Procedure for the Solution of Engineering Problems
- GIVEN - State briefly and concisely (in your own words) the information given; including the physical units..
- FIND - State the information that you have to find.
- DIAGRAM - A drawing showing all quantities involved should be included; including relevant physical dimensions. Free-body diagrams/Inertia Effect Diagrams (and/or momentum diagrams) are drawn separately. Label appropriate coordinate directions.
- BASIC LAWS - Give appropriate mathematical formulation of the basic laws that you consider necessary to solve the problem.
- ASSUMPTIONS - List the simplifying assumptions that you feel are appropriate in the problem.
- ANALYSIS - Carry through the analysis to the point where it is appropriate to substitute numerical values.
- NUMBERS - Substitute numerical values (using a consistent set of units) to obtain a numerical answer. The significant figures in the answer should be consistent with the given data.
- CHECK - Check the answer and the assumptions made in the solution to make sure they are reasonable. Check the units, if appropriate.
- LABEL - Label the answer (e.g., underline it or enclose it in a box, or point to it with an arrow ; include the physical unit). IMPORTANT:
