# Classical Mechanics

Course Code:
PHYS 204
Semester:
Spring
Course Type:
Core
P:
3
Lab:
0
Laboratuvar Saati:
0
Credits:
3
ECTS:
11
Prerequisite Courses:
Course Language:
English
Course Objectives:
The aim of this course is to teach basic and relatively more complicated concepts of classical mechanics by some mathematical methods and to have students learn for themselves how physics as a discipline can be used to obtain a deep understanding of how the world works.
Course Content:

Newton’s laws of motion, conservation principles, their applications to harmonic oscillators by some mathematical methods. Newton’s gravitational law, motions of the planets. Variation principle and its application to dynamics; Lagrange’s and Hamilton’s formalisms.

Course Methodology:
1: Lecture, 2: Question-Answer, 5: Problem Solving, 15:Homework
Course Evaluation Methods:
A: Testing, B: Final, C: Homework

## Vertical Tabs

### Course Learning Outcomes

 Learning Outcomes Teaching Methods Assessment Methods 1) Gains some detailed knowledge about mechanical problems and solves them by using some advanced mathematical tools. 1, 5, 15 A, B, C 2) Exhibits a physical approach to the interdisciplinary phenomena by using the insight gained in the course. 1, 5, 15 A, B, C

### Course Flow

 Week Topics Study Materials 1 Matrices, vectors, vector calculus Coordinate transformations, unit vectors, differentiation of vectors. 2 Newtonian mechanics Newton’s laws, frames of reference, the equation of motion for a particle, resistive forces. 3 Oscillations SHM, damped oscillations, sinusoidal driving forces, response of oscillators to impulsive forcing. 4 Nonlinear oscillations and chaos Plane pendulum, chaos in a pendulum, mapping. 5 Gravitation Gravitational potential, lines of force. MIDTERM EXAM - 1 6 Equipotential surfaces, ocean tides. Some methods in the calculus of variations Euler’s equation, the  notation. 7 Hamilton’s principle Generalized coordinates, Lagrange’s equations of motion, Hamiltonian dynamics. 8 Central-force motion Reduced mass, conservation theorems, planetary motion, orbital dynamics. 9 Dynamics of a system of particles Centre of mass, linear and angular momentum, elastic and inelastic collisions, rocket motion. 10 Motion in a noninertial reference frame Rotating coordinate systems, 11 Centrifugal and Coriolis forces, Foucault pendulum. MIDTERM EXAM - 2 12 Dynamics of rigid bodies Inertia tensor, principal axes of inertia, 13 Eulerian angles, motion of the symmetric top. 14 Coupled oscillations Two coupled harmonic oscillators, weak coupling, three linearly coupled plane pendula.

### Recommended Sources

 Textbook CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS Thornton & Marion (5th ed.) Additional Resources CLASSICAL MECHANICS Greiner

### Material Sharing

 Documents Assignments Exams

### Assessment

 IN-TERM STUDIES NUMBER PERCENTAGE Mid-terms 2 50 Homework 7 10 Final 1 40 Total 100 CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE 40 CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE 60 Total 100

### Course’s Contribution to Program

 No Program Learning Outcomes Contribution 1 2 3 4 5 1 gains the ability to apply the knowledge in physics and mathematics X 2 gains the ability to construct an experimental setup, perform the experiment, analyze and interpret the results X 3 is supposed to have the education required for the measurements in scientific and technological areas X 4 is able to work in an interdisciplinary team X 5 is able to identify, formulate and solve physics problems X 6 is conscious for the professional and ethical responsibility X 7 is able to communicate actively and effectively X 8 is supposed to have the required education for the industrial applications and the social contributions of physics X 9 is conscious about the necessity of lifelong education and can implement it X 10 is supposed to be aware of the current investigations and developments in the field X 11 can make use of the techniques and the modern equipment required for physical applications X

### ECTS

 Activities Quantity Duration (Hour) Total Workload (Hour) Course Duration (Including the exam week: 14x Total course hours) 14 3 42 Hours for off-the-classroom study (Pre-study, practice) 14 10 140 Mid-terms 2 3 6 Homework 7 12 84 Final examination 1 3 3 Total Work Load Total Work Load / 25 (h) 275 ECTS Credit of the Course 11 ECTS Credit of the Course 11