Course syllabus

# Mekanik - Statik och partikeldynamik Engineering Mechanics - Statics and Particle Dynamics

## FMEA05, 6 credits, G1 (First Cycle)

Valid for: 2012/13
Decided by: Education Board 3
Date of Decision: 2012-04-25

## General Information

Main field: Technology.
Compulsory for: F1
Language of instruction: The course will be given in Swedish

## Aim

The aim of the course is to:

• give knowledge about the basic concepts in mechanics for material systems at rest and motion, mainly for particles and rigid bodies
• give knowledge and skills in engineering modeling
• develop ability to solve problems by applying mathematics

## Learning outcomes

Knowledge and understanding
For a passing grade the student must

• be able to explain and apply fundamental conception 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 give a detailed description of different application
• be ably to describe velocities and accelerations in Cartesian, polar and natural coordinates systems and use the balance equations for a particle expressed in vector format

Competences and skills
For a passing grade the student must

• starting with a real situation be able to delimit a problem and perform an equilibrium analysis
• 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
• be able to delimit a problem from a given project specification and create a simulation model for solving the problem
• 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 consistency of the obtained results

## Contents

Statics: Moment and force systems in 2 and 3 dimensions. Free-body diagrams and equilibrium of material bodies. Equilibrium in 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. Vibrations of damped and undamped mechanical systems. Free and forced vibrations. Eigen frequencies and vibration analysis.

## Examination details

Assessment: Written exam. Written project report.

Required prior knowledge: FMA420 Linear algebra, FMAA01/FMAA05 Calculus in One Variable.
The number of participants is limited to: No
The course overlaps following course/s: FME012