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Information
| Code | FZK306 |
| Name | Theoretical Mecahnics II |
| Term | 2024-2025 Academic Year |
| Semester | 6. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. BERRİN ÖZDEMİR |
| Course Instructor |
1 2 |
Course Goal / Objective
The purpose of this course is to familiarize the students with Newton s laws of motion and Euler-Lagrange equations; to show how these can be applied to various problems and how to solve the resulting equations. The studenst are expected to have taken the standart math and physics courses during their freshman and sophomore years.
Course Content
Variational anaysis, Lagrange equations using variational analysis, interaction between particles, moment of inertia, rocket motion
Course Precondition
none
Resources
Parçacıklar ve Sistemler için Klasik Dinamik, Marion-Thornton, Çev. Ed. Metin Özdemir, Yüksel Ufuktepe, Akademi Kitabevi, Ankara, 2011
Notes
Follow the lecture notes, study problems, home work problems and their solution uploaded to MS teams.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the variational anaysis in its simplest form. |
| LO02 | Knwos how to derive Lagrange equations using variational analysis. |
| LO03 | For a given system, knows how to write the Lagrangian function and then find the Euler-Lagrange equations. |
| LO04 | Knows how to apply Newton s laws to a system of particles. |
| LO05 | Knows the form of interaction between particles and the consequences of these. |
| LO06 | Has knowledge on rotational motion and its properties. |
| LO07 | Has knowledge on the energy, mometum and center of mass of a system of particles and can solve problesm relevant to these subjects. |
| LO08 | Knows the moment of inertia and can calculate it for various common geometries. |
| LO09 | Knows some properties of rocket motion. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts and principles in the field of physics. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Follows the developments in the field of Physics and uses scientific methods and techniques. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Combine the knowledge gained in the field of Physics with the knowledge in other scientific fields and explains the method of producing scientific knowledge. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Use the advanced theoretical and practical knowledge he has acquired in the field of Physics and designs experiments related to his field. | 2 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Classify, use and critically evaluate the knowledg taken by his/her efforts. | 3 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Improves himself by knowing that the learning process is lifelong. | 3 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Knowing the importance of individual development, she/he implements what is necessary. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Evaluates the developments in the field of physics in terms of social ethics by watching and learning them. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to variational analysis | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 2 | Variational analysis (cont d), Euler s equation | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 3 | Hamilton s priciple, Lagrangian function and Euler-Lagrange equations | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 4 | Lagrangian function and Euler-Lagrange equations (cont d) | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 5 | Applications of Euler-Lagrange equations | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 6 | Hamilton s equations | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 7 | Th edynamics of a system of particles; center of mass; lineer and angular momentum; energy | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Collision of two particles, elastic and inelastic collisions | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 10 | Rocket motion | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 11 | Rotation about a fixed axis | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 12 | Moment of inertia and its calculation for various geometries | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 13 | Motion in a non-inertial frame | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 14 | Coriolis force, equations of motion and their solutions | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 15 | Coriolis force, equations of motion and their solutions (cont d) | study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 16 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||