Mechanics, second course, 4 credits

Mekanik, fortsättningskurs, 4 hp

TMME32

Main field of study

Applied Physics Mechanical Engineering

Course level

First cycle

Course type

Programme course

Examiner

Lars Johansson

Director of studies or equivalent

Peter Schmidt

Education components

Preliminary scheduled hours: 42 h
Recommended self-study hours: 65 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping C

Main field of study

Applied Physics, Mechanical Engineering

Course level

First cycle

Advancement level

G1X

Course offered for

  • Applied Physics and Electrical Engineering - International, M Sc in Engineering

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

Basic mechanics, calculus including differential equations, vector and matrix algebra.

Intended learning outcomes

To develop a broader and deeper knovledge of classical mechanics through the study of particle mechanics relative to rotating references, rigid body dynamics and oscillations with several degrees of freedom. After the course, the student should be able to:

  • Select a coordinate system for a specific dynamics problem with insight into the consequences of different choices.
  • Analyze dynamics problems using numerical solution of systems of ordinary differential equations.
  • Use vector algebraic methods to analyze dynamics problems, including eigenvalue analysis and coordinate transformations.

    Course content

    Newton's equations of motion. The concept of an inertial system. Relative motion in the plane. Angular velocity and acceleration as vectors. The Coriolis equation. Dynamics of paricles in rotating coordinate systems. The equations of motion for systems of particles and for rigid bodies.
    Calculation of the moment of momentum for a rigid body.
    The inertia tensor and its representation in different coordinate systems. Oscillations with several degrees of freedom. Interpretation of the eigenvectors as eigenmodes.

    Teaching and working methods

    The course is given as a series of lectures and computer sessions. Mor emphasis than typical for a course at this level is given to computer sessions where the students implement mechanical models in MATLAB.

    Examination

    TEN1Written examination2 creditsU, 3, 4, 5
    LAB1Computer assignments2 creditsU, 3, 4, 5

    Grades

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

    Other information

    Supplementary courses: Courses in Physics, Applied mechanics, Mechatronics Vehicle dynamics and Solid mechanics.

    Department

    Institutionen för ekonomisk och industriell utveckling

    Director of Studies or equivalent

    Peter Schmidt

    Examiner

    Lars Johansson

    Education components

    Preliminary scheduled hours: 42 h
    Recommended self-study hours: 65 h

    Course literature

    Kompendium från institutionen.
Code Name Scope Grading scale
TEN1 Written examination 2 credits U, 3, 4, 5
LAB1 Computer assignments 2 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. 

Kompendium från institutionen.

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

                            
1.2 Fundamental engineering knowledge (G1X level)
X
X
X

                            
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

                            
2.2 Experimentation, investigation, and knowledge discovery
X

                            
2.3 System thinking

                            
2.4 Attitudes, thought, and learning
X
X
X

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork

                            
3.2 Communications
X

                            
3.3 Communication in foreign languages

                            
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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