ENGR 3210  ENGINEERING MECHANICS: DYNAMICS, Fall 2006

 


Text:  Vector Mechanics for Engineers, Dynamics, Beer and Johnston, Eight edition, McGraw-Hill.

Please remember to bring the text book with you to each class.

Lecture Times:  T, Th 11:00 am – 12:15 pm,  Room: 2031 Nevins Hall.

Instructor: Dr. Barry Hojjatie, Phone: (229) 333-5753, Office:  1169 Nevins Hall

Email: bhojjati@valdosta.edu   Office hrs:  Right after each class,

also:  MW 10:00 a.m. -10:45 a.m., T: 4:30-4:45 p.m., and other times by appointment.

Dates to Remember:

Holidays: Sept. 4; Oct. 16 & 17; Nov. 23-24

Mid-term: October 6, Last Class Day: Dec. 4

Final Exam: Th. Dec. 8 (Friday)  10:15 a.m.-12:15 p.m.

Course Description:  This is the second course in engineering mechanics. The course covers basic concepts and laws of engineering mechanics for dynamics of particles and rigid bodies.  The main topics include kinematics and kinetics, application of Newton’s second law in particle dynamics, the work energy principle, impulse and momentum, rigid bodies in plane motion, and introduction to 3-D motion of rigid bodies/mechanical vibrations.  Upon successful completion of this course, the student should be able to: solve problems in three major subdivisions of dynamics; kinematics of particles- the relationship of displacement, time, velocity and acceleration; kinetics of particles – the relationship of forces, masses and motion; and kinetics and kinematics of rigid bodies.  Prerequisite:  ENGR 2200 (Statics).  It is assumed that students have background in vector calculations of forces, moments, equilibrium of particles and rigid bodies, centroids and moments of inertia.

Course policy:  Each student is responsible for all materials covered in class and assigned homework regardless of absence.  Excessive absence from lecture (e.g., ³ 5 of scheduled classes) may result in failing grade in the course.  If a student stops attending the lectures without officially dropping the course, will receive a grade of F.  Students are encouraged to discuss the concepts/homework problems with each other (excluding take home and in-class exams) to improve their skills in analytical reasoning and problem-solving, however, work that you submit must be your own. Students requiring classroom accommodations because of a documented disability should discuss this need with the professor at the beginning of the semester.  Students not registered with the Special Services Program should contact their office in Nevins Hall room 1115 (245-2498).

PLEASE NOTE THAT NO FOOD/DRINK IS ALLOWED IN COMPUTER LABS.  ALSO, NO OTHER COMPUTER ACTIVITIES (i.e., Games, internet search, etc.) ARE ALLOWED DURING LECTURE.

 

 

 

 

 

Tests: The main purpose of the tests is for you to demonstrate your knowledge about the fundamentals/concepts and skills in problem solving.  Obtaining just the right answer is not sufficient. Method of solution is also very important.  Homework problems will be assigned on a weekly basis and collected periodically.  There will be chapter quizzes that count as one test, two one-hour tests, and a final exam, which includes newly covered materials and materials related to the tests.  Chapter quizzes count 20%, each one-hour test counts 20%, Final Exam: 25%, selected homework: 10%, class participation: 5%.  If your homework, exam is late, not readable, or too messy, points will be taken out from your grades.  Makeup exam will be possible in special circumstances (only if instructor is informed within a reasonable time) in which an exam with a different format (e.g., oral and/or written) will be given.

 

Final grades:  A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: < 60.

Sequence of Topics

 

 Rectilinear Motion of Particles

            11.1 Introduction to Dynamics

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

 

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 a Frame in Translation

            11.13 Tangential and Normal Components

            11.14 Radial and Transverse Components

 

Kinetics of Particles:  Newton’s Second Law

            12.2 Newton’s Second Law of Motion

            12.3 Linear Momentum of a Particle Rate of Change of Linear Momentum

            12.4 Systems of Units

            12.5 Equations 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

            Sections 12.11-12.13 will be discussed briefly.

Kinetics of Particles:  Energy and Momentum Methods

            13.2 Work of a Force

            13.3 Kinetic Energy of a Particle Principle of Work and Energy

            13.4 Applications of the Principle of Work and Energy

            13.5 Power and Efficiency

            13.6 Potential Energy

            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

 

System of Particles

            14.2 Application of Newton’s Laws to the Motion of 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

            14.8 Work-Energy Principle.  Conservation of Energy for a System of Particles

            14.9 Principle of Impulse and Momentum for a System of Particles

            Sections 14.10 and 14.11 will be discussed briefly.

 

Kinematics of Rigid Bodies

            15.2 Translation

            15.3 Rotation about a Fixed Axis

            15.4 Equations Defining the Rotation of a Rigid Body 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

                       

Plane Motion of Rigid Bodies:  Forces and Accelerations

            16.2 Equation of Motion for a Rigid Body

            16.3 Angular Momentum of a Rigid Body in Plane Motion

            16.4 Plane Motion of a Rigid Body.  D’Alembert’s Principle

            16.6 Solution of Problems involving the Motion of a Rigid Body

                       

Plane Motion of Rigid Bodies:  Energy and Momentum Methods

            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

            17.6 Conservation of Energy

            17.7 Power