Course syllabus

# Mekanik - Statik och dynamik

Mechanics - Statics and Dynamics

## FMEA15, 7,5 credits, G1 (First Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Mechanics - Statics and Dynamics

Valid for: 2012/13

Decided by: Education Board 3

Date of Decision: 2012-04-25

Main field: Technology.

Compulsory for: Pi1

Language of instruction: The course will be given in Swedish

- give knowledge about the basic concepts in mechanics for material systems at rest and motion
- give knowledge and skills in engineering modeling

Knowledge and understanding

For a passing grade the student must

- be able to explain and apply fundamental concepts as force and moment, linear and angular momentum, linear and angular impulse and express them both as scalars and vectors
- be able to draw a free body diagram of a material body and set up the equations of equilibrium and motion
- be able to use the balance equations for a particles and rigid bodies in plane motion
- be able to describe velocities and accelerations in Cartesian, polar and natural coordinates systems

Competences and skills

For a passing grade the student must

- starting with a real situation be able to delimit a problem and treat material bodies such as particles and rigid bodies
- be able to apply systematically methods to mechanical systems in equilibrium and particles in motion
- be able to present written solutions to mechanical problems with suitable drawing and free body diagrams
- develop ability to solve problems by applying mathematical methods within linear algebra and the theori of ordinary differential equations

Judgement and approach

For a passing grade the student must

- evaluate the physical consistence of the obtained results

Statics: Moment and force systems in 2 and 3 dimensions. Free-body diagrams and equilibrium of material bodies. Equilibrium of frames. Distributed forces, centre of mass. Friction. Virtual work, potential energy and stability.

Dynamics: Newton’s laws. Kinematics and kinetics of particles in straight and curved motion, natural and polar co-ordinates. Energy and work. Momentum and impulse, moments of momentum and impulse moments. Impact.Kinetic for system of particle and kinetic for rigid bodies in plane motion. Vibrations of damped and undamped mechanical systems. Free and forced vibrations. Eigen frequencies and vibration analysis.

Grading scale: TH

Assessment: Written exam.

Parts

Code: 0109. Name: Statics and Particle Dynamics.

Credits: 5. Grading scale: TH. Assessment: Written exam. Contents: Statics: Moment and force systems in 2 and 3 dimensions. Free-body diagrams and equilibrium of material bodies. Equilibrium of frames. Distributed forces, centre of mass. Friction. Virtual work, potential energy and stability. Particle dynamics: Newton’s laws. Kinematics and kinetics of particles in straight and curved motion, natural and polar co-ordinates. Energy and work. Momentum and impulse, moments of momentum and impulse moments. Impact.

Code: 0209. Name: Dynamics.

Credits: 2,5. Grading scale: TH. Assessment: Written exam. Contents: Kinetic for system of particle and kinetic for rigid bodies in plane motion. Vibrations of damped and undamped mechanical systems. Free and forced vibrations. Eigen frequencies and vibration analysis.

Required prior knowledge: FMA420 Linear Algebra, FMAA01/FMAA05 Calculus in One Variable.

The number of participants is limited to: No

- Nyberg C. : Mekanik, Grundkurs, Liber, 2003.
- Nyberg C. : Mekanik, Problemsamling, Liber, 2003.

Course coordinator: Prof. Solveig Melin, solveig.melin@mek.lth.se

Course homepage: http://www.mek.lth.se