FK011 Analytical Mechanics

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code FK011
Name Analytical Mechanics
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Yüksek Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Doç. Dr. BERRİN ÖZDEMİR


Course Goal / Objective

To teach advanced subjects of analytical mechanics.

Course Content

Mechanics for a single particle, Mechanics of a system of particles, D'Alembert principle and Langrange equations, time dependent potentials and dissipation function, Variational (Hamilton) principle and Lagrange equations, Some techniques of calculus of variations, non-holonomic systems and Hamilton's principle, gravitational force and Langrange function, orbit equation and Kepler's laws, the angukar momentum and kinetic energy of a solid mass about a point, inertial tensor and moment of inertia, Coriolis effect, Hamilton's function and Hamilton's equations of motion.

Course Precondition

none

Resources

Classical Mechanics, Herber Goldstein

Notes

Lecture notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Understands the mechanics of single and many particle systems.
LO02 Understands how to obtain Lagrange's equations using variational principles.
LO03 Understands how to obtain the orbit equation of masses under the gravitational force.
LO04 Understands the kinetic energy of particles about a point.
LO05 Understands the moment of inertia tensor of rigid bodies.
LO06 Understands the Coriolis effect.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has sufficient infrastructure in various subjects of Physics. 4
PLO02 Bilgi - Kuramsal, Olgusal Demonstrate the knowledge of appropriate mathematical techniques used in physics. 4
PLO03 Bilgi - Kuramsal, Olgusal Interpret observational and experimental results.
PLO04 Bilgi - Kuramsal, Olgusal Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. 3
PLO05 Bilgi - Kuramsal, Olgusal Has a knowledge about the logic of scientific research.
PLO06 Bilgi - Kuramsal, Olgusal Report the solution of a physics problem, experimental results or projects in a written format or orally.
PLO07 Bilgi - Kuramsal, Olgusal Chooses and uses the necessary publications, books and methods for a scientific research.
PLO08 Bilgi - Kuramsal, Olgusal Accesses a knowledge about a subject in physics, does literature search and uses other sources for this purpose. 2
PLO09 Bilgi - Kuramsal, Olgusal Provides solutions to the problems encountered in the physics field applying research methods. 3
PLO10 Bilgi - Kuramsal, Olgusal Can perform an independent research. 3
PLO11 Bilgi - Kuramsal, Olgusal Can perform group work effectively in a research or industrial projects.
PLO12 Bilgi - Kuramsal, Olgusal Becomes conscious of the necessity of lifelong learning. 3
PLO13 Bilgi - Kuramsal, Olgusal To keep track of the developments in physics and updates himself/herself invariably. 3
PLO14 Bilgi - Kuramsal, Olgusal Shares his/her ideas and suggestions for solutions to the physical problems with experts and non-experts by supporting them with quantitative and qualitative data. 2
PLO15 Bilgi - Kuramsal, Olgusal Can make an effective written or oral presentation of the results obtained in a study. 2
PLO16 Bilgi - Kuramsal, Olgusal Makes use of the knowledge, problem solving and / or application skills acquired in the physics field in interdisciplinary studies. 4
PLO17 Bilgi - Kuramsal, Olgusal Has a foundation necessary to work in a research and development organizations. 2


Week Plan

Week Topic Preparation Methods
1 Mechanics for a single particle Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
2 Mechanics of a system of particles Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
3 D'Alembert principle and Langrange equations Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
4 time dependent potentials and dissipation function Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
5 Variational (Hamilton) principle and Lagrange equations Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
6 Some techniques of calculus of variations Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
7 non-holonomic systems and Hamilton's principle Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
8 Mid-Term Exam Mid-term exam Ölçme Yöntemleri:
Yazılı Sınav
9 gravitational force and Langrange function Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
10 orbit equation and Kepler's laws Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
11 the angukar momentum and kinetic energy of a solid mass about a point Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
12 inertial tensor and moment of inertia Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
13 Moment of inertia and its applications Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
14 Coriolis effect Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
15 Hamilton's function and Hamilton's equations of motion. Study the relevant section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
16 Term Exams Final exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Final exams Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 1 2 2
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 159
Total Workload / 25 (h) 6,36
ECTS 6 ECTS

Update Time: 20.05.2024 02:40