# Mechanics, second course, 4 credits (TMME32)

Mekanik, fortsättningskurs, 4 hp

### Main field of study

Applied Physics Mechanical Engineering

First cycle

Programme course

Lars Johansson

### Director of studies or equivalent

Peter Schmidt
Course offered for Semester Period Timetable module Language Campus VOF
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 4 (Spring 2017) 1 4 Swedish Linköping o

### Main field of study

Applied Physics, Mechanical Engineering

First cycle

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

 LAB1 Computer assignments U, 3, 4, 5 2 credits TEN1 Written examination U, 3, 4, 5 2 credits

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

Peter Schmidt

Lars Johansson

### Education components

Preliminär schemalagd tid: 42 h

### Course literature

Kompendium från institutionen.
Kompendium från institutionen.