ME 225A ¨C Dynamics ¨C Spring 2009

INFORMATION FOR STUDENTS

 

 

Instructor:      Prof. Yong Shi                         Class times/locations: M  1:00 ¨C 1:50 pm - EAS 230;

Office:             EAS-207                                                                   TR 4:00 ¨C 4:50 pm - EAS 229A

E-mail:            yshi2@stevens.edu                 

Telephone:      (201) 216-5594

           

Course Purpose:         This course is designed for mechanical engineering students to complete their introduction to engineering mechanics of rigid bodies; it follows the first course on statics with this second course on dynamics.

Course Description:   Particle kinematics and kinetics, systems of particles, work-energy, impulse and momentum, rigid-body kinematics, relative motion, Coriolis acceleration, rigid-body kinetics, direct and oblique impact, eccentric impact.

Prerequisites:  Ma 116 (Mathematical Analysis II), E 126 (Mechanics of Solids), PEP 102 (Physics II).

Textbook:                   Engineering Mechanics, Dynamics, 11th Edition, R. C. Hibbeler, Pearson/Prentice Hall, 2006, ISBN 0-13-221504-7.

 

 

COURSE INFORMATION AND REQUIREMENTS:        

1.         Homework:  Reading and problems will be assigned in class, and problem/solutions will be due in class (generally) one week later. All problems will be collected, and selected problems will be graded.  Late homework will not be accepted for credit, except for medical reasons (with doctor¡¯s note) or prior approval by instructor.  Homework is to be submitted in the attached format, with each step worth credit. Homeworks submitted in other than this format will be not be accepted and returned without grading or credit.

2.         Quizzes & Exam:  There will be three quizzes and one written final exam, as noted in the schedule.  These will be closed book and notes exams, but a sheet of formulas will be provided.  Make-ups will be given only for medical reasons (with doctor¡¯s note) or prior arrangement with instructor.

3.         Project: Teams will be formed to do a small project on dynamics during the second half of the course. A report and presentation will be prepared by each team.

4.         Attendance:  Class attendance is required. Absences will be excused only for medical reasons (with doctor¡¯s note) or prior arrangement with instructor. Absences beyond one will each result in 2.5% subtracted from the final grade, with a maximum of four more permitted.

5.         Grade:  The final grade will be based on the following components:

Homeworks                             25% of final grade

Quizzes            (3)                   30%

Final Exam                              30%

                        Project                                    10%

                        Attendance/pop up                    5%

                       

 

 

ME 225A LECTURE CLASS SCHEDULE (tentative)

Class   Day and Date

Class   Day and Date

1                             Tues., Jan. 16                                 

2                             Thurs., Jan. 18

3                             Mon., Jan. 22

4                             Tues.., Jan. 23

5                             Thurs., Jan. 25

6                             Mon., Jan. 29

7                             Tues., Jan. 30

8                             Thurs., Feb. 1

9                             Mon., Feb. 5

10                         Tues., Feb. 6

11                         Thurs., Feb. 8               

12                         Mon., Feb. 12     QUIZ 1

13                         Tues., Feb. 13               

14                         Thurs., Feb. 15

15                         Tues., Feb. 20   (Mon. hol., classes on Tues.)

16                         Thurs., Feb. 22

17                         Mon., Feb. 26

18                         Tues., Feb. 27               

19                         Thurs., Mar. 1 

20                         Mon., Mar. 5

21                         Tues., Mar. 6 

22                           Thurs., Mar. 8     (spring recess, Mar. 12 - 16)

23                          Mon., Mar. 19            QUIZ 2  

24                           Tues., Mar. 20                

25                           Thurs., Mar. 22

26                          Mon., Mar. 26

27                           Tues., Mar. 27  

28                           Thurs.., Mar. 29

29                          Mon., Apr. 2

30                           Tues., Apr. 3 

31                           Thurs., Apr. 5   

32                          Mon., Apr. 9

33                           Tues., Apr. 10 

34                           Thurs., Apr. 12

35                          Mon., Apr. 16             QUIZ 3

36                           Tues., Apr. 17

37                           Thurs., Apr. 19

38                          Mon., Apr. 23

39                           Tues., Apr. 24

40                           Thurs., Apr. 26

41                         Mon., Apr. 30 

42                           Tues., May 1 

A                   May 3-15 period       FINAL EXAM

           

HOMEWORK FORMAT (Required)

Document Format

1.             Write all homework on lined paper, using one side only. Leave at least one inch margins on page.

2.             Provide a cover page, with only the following information:

                                Student's Name, Class Section, Homework Number, Due Date;

                                Stevens Pledge Printed and Signed

3.             Start each separate problem on a new page, unless the problem is very brief.  If more than one problem is included on a given page, separate the problems with a horizontal dividing line.

4.             Number the pages consecutively, and staple all pages together in the proper order.

Numerical Problems

1.             Write down the problem statement, complete with sketches.

2.             Identify what is given, and what is to be found.

3.             Draw detailed Free Body Diagram, when appropriate.

3.             Explain calculation sequence in words (do not simply write down a series of equations), if necessary.

4.             If equations are used, define each symbol in the equation.

5.             Show algebraic form of each equation first, then calculation details, and identify the answer with a box.

6.             Show calculated results only to the number of decimal places which are appropriate to the expected accuracy of the computations, considering the variability of the data used and the inaccuracy of the analysis and/or calculations.

Graphs and Vector Diagrams

1.             Label the axes.

2.             Write down the scales used and units for each parameter.

3.             If any measurements are taken from the graph and diagrams for subsequent calculations, the corresponding points, lines, or angles must be shown on the graph.

Drawings

1.             Use a sharpened pencil and make accurate sketches/drawings.

2.             Use a ruler or straight edge to draw straight lines, and a compass or template for circles.

 

Note that points are deducted for format omissions or errors, as well as conceptual or computational errors.

 

MAJOR TOPICS                                                                              

Introduction to dynamics, kinematics of particles, curvilinear motions (chap. 12)

Kinetics of particles, Newton¡¯s laws of motion, free body diagrams (chap. 13)

Work and energy principles and conservation of energy for particles (chap. 14)                   

Principle of impulse and momentum and impact for particles (chap. 15)           

Planar kinematics of rigid bodies, velocity and acceleration, Coriolis acceleration (chap. 16)

Planar kinetics of rigid bodies: free body diagrams, Newton¡¯s laws of motion. (chap. 17)           

Planar kinetics for rigid bodies: work and energy approach (chap. 18)                             

Planar kinetics for rigid bodies: principle of impulse and momentum (chap. 19)

Introduction to three-dimensional kinematics of rigid bodies (chap. 20)

 

COURSE OBJECTIVES

You should be able to:

Write kinematic equations of particles in rectangular and curvilinear coordinates.

Formulate and solve problems dealing with motion of projectiles.                               

Recognize forces and draw free body diagrams for particle and rigid body problems. 

Use work-energy approach to solve particle and rigid body problems.                       

Apply principle of impulse and momentum to solve particle and rigid body problems. 

Understand the relevance of particle models and apply them in dynamics.                 

See the application of rigid body analysis to linkage kinematics and kinetics.    

Understand the practical relevance of relative motion of rigid body dynamics.                                 

Use linear and angular momentum conservation in solving kinetic problems.              

Use linear momentum and coefficient of restitution in impact problems.                          

Use Newton¡¯s laws, energy and momentum approach to solve kinetic problems.      

Write equations of dynamic equilibrium using free body diagrams and inertia forces.