FYSA2021 Mechanics (4 cr)
Study level:
Intermediate studies
Grading scale:
0-5
Language:
Finnish
Responsible organisation:
Department of Physics
Curriculum periods:
2024-2025, 2025-2026, 2026-2027, 2027-2028
Description
- Newton's laws of motion and gravity, conservation laws
- Oscillations: linear, damped, two-dimensional
- Rotating coordinate system: centrifugal force and Coriolis force
- Rotating body: moments of inertia, principal axes of inertia, equations of motion, stability
- Lagrangian mechanics: Euler-Lagrange equations, generalized coordinates, constraints, symmetries
- Two-body problem: constants of motion, planetary motion
- Coupled oscillations: general method and practical applications
- Generic methods of problem solving
- Problem types in exercises
Learning outcomes
After completing the study unit the student
- knows Newtons laws of motion and gravity and conservation laws
- can apply Newtonian and Lagrangian mechanics
- can apply the equations of motion of a rigid body
- knows how to solve problems in non-inertial reference frames
- knows how to treat the two-body problem and planetary motion
- can determine normal modes and frequencies for coupled oscillators
- solve problems using the various theoretical approaches of the course
Description of prerequisites
Basic physics studies:
FYSP1010 Introduction to Mechanics
FYSP1020 Waves and thermodynamics
MATP211-213 Calculus 1-3, especially:
- Properties of elementary functions
- Derivative and integral
MATA114 Differential equation; especially:
- 1st order separable differential equation
- 2st order constant-coefficient differential equation
MATA181-181 Vector Calculus 1-2, especially:
- Differential, partial derivative, gradient
- Integral over a three-dimensional volume
- Integral over a path
MATP121-122 Linear Algebraand Geometry 1-2; especially
- Vectors: sum, dot product, cross product
- Matrix and determinant
- Products of vectors and matrices
- Rotation matrices
- Eigenvalues and eigenvectors
In addition the basic properties of complex numbers.
Study materials
Lecture material in Finnish in TIM system
Literature
- Thornton & Marion: Classical dynamics of particles and systems. ISBN: 978-0-495-55610-7
Completion methods
Method 1
Evaluation criteria:
Viikottaiset harjoitukset ja tentti.
Time of teaching:
Period 4
Select all marked parts
Method 2
Description:
Tämä suoritustapa on tarkoitettu opiskelijoille, joille toinen suoritustapa ei erityisistä syistä ole mahdollinen (esim. opetuskieli, asuminen muualla, suositus yksilöllisistä opintojärjestelyistä). Suoritustavasta on otettava yhteyttä opettajaan ennen kurssille ilmoittautumista.
Evaluation criteria:
Mahdolliset harjoitustehtävät sekä tentti.
Select all marked parts
Parts of the completion methods
x
Participation in teaching (4 cr)
Type:
Participation in teaching
Grading scale:
0-5
Teaching
3/10–5/16/2025 Lectures
x
Independent study (4 cr)
Type:
Independent study
Grading scale:
0-5
Language:
Finnish
Study methods:
Itsenäinen opiskelu, tentti ja laboratoriotyöt.