Credits: 5

Schedule: 11.09.2019 - 13.12.2019

Teaching Period (valid 01.08.2018-31.07.2020): 

I-II Autumn (2018-2019, 2019-2020)

Learning Outcomes (valid 01.08.2018-31.07.2020): 

Having completed the course the student

1. remembers basic principles of mechanics and understands Lagrangian and Hamiltonian for a system,

2. is able to use Lagrangian and Hamiltonian mechanics in constructing equations of motion for the system

3. is able to explain the constants of motion and conserved quantities of a physical system

4. is able to solve eigenfrequencies of small amplitude oscillations in a physical system

5. remembers the equations of motion for fluids,

6. remembers the equations of motion for elastic material.

Content (valid 01.08.2018-31.07.2020): 

Generalized coordinates and momenta. Variational principle. Hamilton’s principle. Lagrangian, Hamiltonian, and equations of motion. Constants of motion, conserved quantities and symmetries. Small oscillations and normal modes. Virtual displacements and D’Alambert’s principle. Poisson brackets. Forces of constraint. Continuity equation and equation of motion for fluids. Viscous flow of fluids. Stress tensor. Equations of linear elasticity. Energy density of elastic media.

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020): 

Lectures and exercise sessions. Two midterm exams or final exam. Solving the exercises will give bonus for the exams.

Workload (valid 01.08.2018-31.07.2020): 

Lectures 24 h, exercise sessions 24 h, exams 6 h

Study Material (valid 01.08.2018-31.07.2020): 

Fetter-Walecka: Theoretical Mechanics of Particles and Continua (Dover)

Substitutes for Courses (valid 01.08.2018-31.07.2020): 

Replaces courses Tfy-0.2113 Teoreettinen mekaniikka and PHYS-E0413 Theoretical Mechanics.

Course Homepage (valid 01.08.2018-31.07.2020): 

https://mycourses.aalto.fi/course/search.php?search=PHYS-E0413

Grading Scale (valid 01.08.2018-31.07.2020): 

0-5

Registration for Courses (valid 01.08.2018-31.07.2020): 

Students enroll on WebOodi.

Description

Registration and further information