1

MENG233Rigid Body Dynamics 4 credits

Instructor: Assoc. Prof. Dr. Fuat Egelioğlu; February 2012

Course (catalog) description:This course deals with the motion of bodies under the action of a single or multiple forces. It covers kinematics and kinetics of particles in rectilinear and curvilinear motions using various coordinate systems, work and energy, impulse and momentum, planar kinematics using analytical and graphical methods. Kinetics of rigid bodies using force and acceleration, work and energy, and impulse and momentum principles. Vibration of single and two-degree of freedom systems.

Prerequisite(s): CIVL211 (Statics)

Textbook(s) and/or other required material:

R. C. Hibbeler Engineering Mechanics--Dynamics, 12th Edition, Prentice Hall

Course Objectives: The students will be asked to demonstrate their knowledge of the material covered in Rigid Body Dynamicsthrough their mastery of the course objectives; the student will be able to:

  1. Understand the principles of Newton’s laws and their application to the real life physical problems that require knowledge of the relationship between force and motion.
  2. Understand the vector concepts and how it can be use to describe the motion of particles and rigid bodies.
  3. Develop the analytical skills needed to systematically formulate, solve, and analyze a wide range of dynamics problems.
  4. Model dynamical problems consisting of mechanical systems composed of rigid components.
  5. Develop equations of motions for simple systems of particles and rigid bodies, including simple 1-DOF vibratory motion.
  6. Continue to higher-level dynamics and mechanics courses and apply these concepts to design courses, and design in general.

Topics covered: (number of classes): Based on 4 classes (+ 1 hr tutorial) per week:

1. Kinematics of a particle (12) / 2.Kinetics of a particle. Force and acceleration (4)
3. Kinetics of a particle. Work and energy (6) / 4. Kinetics of a particle Impulse and momentum (6)
5. Planar kinematics of a rigid body (4) / 6. Planar kinetics of a rigid body: Force and acceleration (6)
7. Planar kinetics of a rigid body: Work and energy (6) / 8. Planar kinetics of a rigid body: Impulse and momentum (6)
9. Vibrations (6)

Class/laboratory schedule, i.e., number of sessions each week and duration of each session: 14 week semesters, classes meet 2 days per week for (2 x 50) minute lectures and one day per week for 50 minute tutorial/laboratory

Contribution of course to meeting the professional component: (4+1) hrs, Engineering Topics. In this course students continue to develop their skills in the application mathematics and basic sciences to engineering dynamics problems. The course assignments provide the opportunity for the students to develop the analytical skills needed to systematically formulate, solve, and analyze a wide range of dynamics problems but does not provide design experience.

Relationship of course to criteria 3 outcomes a-k (“N/A” {Not Applicable}, “minor” or Major” contributions):

Criteria 3 Outcomes a-k / Contribution / Discussion: Students must
a. Math, science, engineering / Major / Apply principles of math, science and engineering in solving dynamic problems.
b. Design, conduct experiments / minor / Design, build, and conduct an experiment to determine gravitational acceleration
c. Design project / minor / A design problem will be assigned
d. Multi-disciplinary teams / minor / demonstrate ability to function in design teams
e. Engineering problems / Major / Construct and solve equations relating the applied forces to the resulting motion of a body modeled as a particle. Identify, formulate, and solve dynamics problems using impulse-momentum and work-energy conceptsincluding collisions.
f. Professional, ethics / minor / identify ethical issues associated with engineering solutions to design related problems.
g. Communicate / minor / demonstrate effective solution procedures to communicate solutions to engineering problems.
h. Impact of engineering / minor / Identify ways in which knowledge of dynamics aids in the design of a bicycle.
i. Life-long learning / major / demonstrate effective use of the internet to find more information on applications of projectile motion.
j. Contemporary issues / minor / Write an essay (2 pages) on the applications of dynamics in every day life.
k. Skills, techniques, and modern tools / minor / apply software to the solution of dynamics problems
(i.e., Excel, Word and etc.)

Assessment

Midterm exam: 30%

Laboratory: 8 %

Design and conduct anexperiment: 5%

Design Project 5%

Homework: 5%

Quizzes: 7 %

Final examination: 40%

1