Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits MKM-23-103 Elective 1 1 6
Level of Course Unit
Second Cycle
Objectives of the Course
This course provides analytical tools to analyze the 3D motion of rigid bodies. The principles of mechanics (energy-based methods) aims to provide relative motion, inertia, kinematics and kinetics, moment of inertia concepts, general 3D motion analysis.
Name of Lecturer(s)
Prof. Dr. Halil Rıdvan Öz
Learning Outcomes
 1 Ability to formulate and study the 3D motion of solid bodies using energy methods 2 ability to use advanced methods 3 ability to interpret motion types and modelling
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
none
Recommended Optional Programme Components
none
Course Contents
Kinematics of bodies. Rotating reference systems and coordinate transformations, diad of inertia. Newton-Euler's equations of motion. gyroscopic movement. Conservative forces and potential functions. generalized coordinates and generalized forces. Lagrangian equations. holonomic and nonholonomic constraints. Lagrange multipliers. Kane equations. Orbital and spacecraft dynamics.
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 1 Vector analysis, Newtonian particle mechanics, impulse-motion, work-energy 2 Moving coordinate axes, coordinate transformation, a vector time variation, Relative velocity and acceleration 3 Generalized coordinates, holonomic and nonholonomic constraints, virtual relocation and virtual work 4 Virtual work principle for generalized forces, static equilibrium 5 D'Alembert's principle, Hamilton's principles 6 Lagrangian equations, constrained systems 7 Moment of inertia, properties 8 Rigid body kinematics, Euler angles 9 restricted movement of rigid bodies, rolling 10 Rigid body dynamics, Newton-Euler equations, equations of state 11 Lagrangian equations for solids 12 Torque-free motion, the motion of a top 13 rolling disc 14 Gyroscope
H. Baruh, Analytical Dynamics, McGraw-Hill, 1999.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
 Term (or Year) Learning Activities Quantity Weight Midterm Examination 1 100 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight Final Examination 1 100 SUM 100 Term (or Year) Learning Activities 50 End Of Term (or Year) Learning Activities 50 SUM 100
Language of Instruction
Turkish
Work Placement(s)
none