Syllabus

 

Instructor       : Asst.Prof.Dr.Turgut AKYÜREK

                            e-mail : turgutakyurek@cankaya.edu.tr

                            Office: L-A18

                            Office Telephone: 2331303

Lecture Hours :  Wednesday 13:40 – 15:30 @ M-A01

Friday 09:40 – 10:30 @ M-102

Office Hours :  Friday 10:40 – 11:30. Appointments are accepted.

Course Description: The course covers the following topics; kinematics of particles, velocity and acceleration in rectangular, cylindrical, spherical and normal and tangential coordinates, rectilinear motion, relative motion, kinetics of particles; newton’s law of motion, equation of motion, work, impulse, momentum, principle of work and energy, principle of impulse and momentum, angular momentum, angular impulse and momentum principle, kinetics of systems of particles, planar kinematics of rigid bodies, instantaneous center of rotation, planar kinetics of rigid bodies, three dimensional kinematics of rigid bodies, three dimensional kinetics of rigid bodies..

Course Objective: Aims of this course are:

§  To teach the basic principles of particle and rigid body kinematics and kinetics.

§  To give the ability to form dynamics related mathematical models of engineering mechanisms and machines.

§  To give the abilities of calculating the motion that results due to applied forces and moments and calculating the forces and moments that are necessary to result in prescribed motion characteristics.

Course Material: Text Book is “Engineering Mechanics, Dynamics, Meriam & Kraige, 7th Edition, 2013, Wiley.”

Examinations: There will be 2 mid-term examinations, 1 final examination, 5 quizzes and 5 homework.

Attendance: According to the university regulations, students must attend at least 70 % of the lecture hours. Otherwise, the student gets NA (Not attended) from the course. Valid excuses are exempt from computation of these percentages.

Apart from the university regulations, it is of student’s benefit to attend all of the lecture hours.

Grading: Overall final grade will be over 1000 points. Weight of each grading item will be as below.

    MT-1 exam grade over 200

    MT-2 exam grade over 250

    Final exam grade over 350

    Homework grade over 100 (5 x 20)

    Quiz grades over 100 (5 x 20)

+  Attendance (bonus) 50

    Final grade over 1050

All the announcements, including the examination dates, will be posted on the course web site.




 

Reference Books:

1.      Vector Mechanics for Engineers: Statics & Dynamics, Beer & Johnston,  9th Edition, McGraw Hill.,2009, ISBN: 978–0–07–352940–0.

2.      Engineering Mechanics, Dynamics, Hibbeler, R.C, 12th edition, Prentice Hall,2010, ISBN -13:978-0-13-607791-6

 

Tentative weekly course schedule:

Chapter

Week

Subject

1

Part I – Dynamics of Particles

Introduction to Dynamics

1

1/1 History and Modern Applications

1/2 Basic Concepts

1/3 Newton’s Laws

1/4 Units

1/5 Gravitation

1/6 Dimensions

1/7 Solving Problems in Dynamics

2

Kinematics of Particles

1

 

 

 

2

 

 

3

2/1 Introduction

2/2 Rectilinear Motion

2/3 Plane Curvilinear Motion

2/4 Rectangular Coordinates

2/5 Normal and Tangential Coordinates

2/6 Polar Coordinates

2/7 Space Curvilinear Motion

2/8 Relative Motion (Translating Axes)

2/9 Constrained Motion of Connected Particles

2/10 Review Problems (HW1)

3

Kinetics of Particles

4

 

 

 

 

 

5

 

 

6

 

 

 

 

7

 

 

3/1 Introduction (Q1)

SECTION A: FORCE, MASS, AND ACCELERATION

3/2 Newton’s Second Law

3/3 Equation of Motion and Solution of Problems

3/4 Rectilinear Motion

3/5 Curvilinear Motion

SECTION B: WORK AND ENERGY

3/6 Work and Kinetic Energy

3/7 Potential Energy

SECTION C: IMPULSE AND MOMENTUM

3/8 Introduction

3/9 Linear Impulse and Linear Momentum

3/10 Angular Impulse and Angular Momentum (HW2)

SECTION D: SPECIAL APPLICATIONS

3/11 Introduction (Q2, MT1)

3/12 Impact

3/15 Review Problems

4

Kinetics of Systems of Particles

 

 

 

8

4/1 Introduction

4/2 Generalized Newton’s Second Law

4/3 Work-Energy

4/4 Impulse-Momentum

4/5 Conservation of Energy and Momentum (HW3)

5

 

 

 

 

 

 

 

Ap-B

Part II – Dynamics of Rigid Bodies

Plane Kinematics of Rigid Bodies

8

 

9

 

 

10

 

11

5/1 Introduction (Q3)

5/2 Rotation

5/3 Absolute Motion

5/4 Relative Velocity

5/5 Instantaneous Center of Zero Velocity

5/6 Relative Acceleration

5/7 Motion Relative to Rotating Axes (HW4)

5/8 Review Problems (Q4, MT2)

APPENDIX B MASS MOMENTS OF INERTIA

B/1 Mass Moments of Inertia about an Axis

B/2 Products of Inertia

6

Plane Kinetics of Rigid Bodies

 

12

 

 

 

 

13

 

 

14

 

SECTION A: FORCE, MASS AND ACCELERATION

6/1 Introduction

6/2 General Equations of Motion

6/3 Translation

6/4 Fixed-Axis Rotation

6/5 General Plane Motion

SECTION B: WORK AND ENERGY

6/6 Work-Energy Relations (HW5)

SECTION C: IMPULSE AND MOMENTUM

6/8 Impulse-Momentum Equations (Q5)

6/9 Review Problems