Mechanics II, 4 credits

Mekanik, fördjupningskurs, 4 hp

TFYA55

Main field of study

Applied Physics Physics

Course level

First cycle

Course type

Programme course

Examiner

Magnus Johansson

Director of studies or equivalent

Magnus Boman

Education components

Preliminary scheduled hours: 32 h
Recommended self-study hours: 75 h

Available for exchange students

Yes
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6KFYN Physics, Bachelor´s Programme 3 (Autumn 2017) 2 4 Swedish Linköping C

Main field of study

Applied Physics, Physics

Course level

First cycle

Advancement level

G2X

Course offered for

  • Physics, Bachelor´s Programme

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Mechanics I, Linear Algebra, Calculus in several variables

Intended learning outcomes

The aim of the course is to give the students a further knowledge and deeper understanding of classical mechanics. After completing the course the student should know how to:

  • Solve problems in mechanics by applying Newton's and Lagrange's equations of motion
  • Apply the theory on dynamics in noninertial frames, systems of particles and rigid body rotation
  • Perform and analyze an experiment or simulation

Course content

Repetition of basic concepts: Inertial frames, Newton's laws for a particle in Cartesisan and polar coordinates, conservation of momentum, angular velocity vector. Newton's laws in non-inertial frames: acceleration without rotation, inertial forces, rotating frames, Coriolis and centrifugal forces applied on motion relative to the earth. Dynamics of particle systems: center of mass, the angular momentum vector and its division into orbital and spin parts, torque. Rigid body dynamics: Rotation about fixed axis, moment of inertia and products of inertia, rotation about given point, inertia tensor, principal axes, Euler's equations applied to axially symmetric top and stability conditions for free rotation. Introduction to analytical mechanics: Lagrange's equations, generalized coordinates, constraints, degrees of freedom.

Teaching and working methods

The content of the course is presented in the form of lectures. Selected problems will be solved during exercizes. Laboratory work is included in the course.

Examination

LAB1Laboratory course1 creditsU, G
TEN1Written examination3 creditsU, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Other information

Supplementary courses: Analytical mechanics, Theory of Relativity

Department

Institutionen för fysik, kemi och biologi

Director of Studies or equivalent

Magnus Boman

Examiner

Magnus Johansson

Course website and other links

https://www.ifm.liu.se/edu/coursescms/tfya55_mekanik/index.xml

Education components

Preliminary scheduled hours: 32 h
Recommended self-study hours: 75 h

Course literature

Additional literature

Books

  • John R. Taylor, (2005) Classical Mechanics
    University Science Books
Code Name Scope Grading scale
LAB1 Laboratory course 1 credits U, G
TEN1 Written examination 3 credits U, 3, 4, 5

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

Additional literature

Books

John R. Taylor, (2005) Classical Mechanics

University Science Books

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X
X
X
TEN1

                            
1.2 Fundamental engineering knowledge (G1X level)

                            
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)

                            
1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)

                            
1.5 Insight into current research and development work

                            
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
2.1 Analytical reasoning and problem solving
X
X
TEN1

                            
2.2 Experimentation, investigation, and knowledge discovery
X
X
LAB1

                            
2.3 System thinking

                            
2.4 Attitudes, thought, and learning

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X
LAB1

                            
3.2 Communications
X
X
LAB1

                            
3.3 Communication in foreign languages
X

                            
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
4.1 External, societal, and environmental context

                            
4.2 Enterprise and business context

                            
4.3 Conceiving, system engineering and management

                            
4.4 Designing

                            
4.5 Implementing

                            
4.6 Operating

                            
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects

                            
5.4 Execution of research or development projects

                            
5.5 Presentation and evaluation of research or development projects

                            

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