Course syllabus

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

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

Valid for: 2014/15
Decided by: Education Board E
Date of Decision: 2014-04-02

## 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
• enhance student 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 conceptions 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 applications
• be able to describe velocities and accelerations in Cartesian, polar and natural coordinate 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 drawings 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, for example, linear algebra and the theori of ordinary differential equations.
• be able to formulate, describe and analyse a technical problem through text, equations and illustrations in a written report. The report should include background, aim, purpose, execution, results and conclusions.

Judgement and approach
For a passing grade the student must

• evaluate the physical consistency of the obtained results
• in the analysis of a mechanics problem, be able to describe the assumptions made when formulating the physical model and be able to give examples of conditions during which the validity of the model is limited.

## Contents

Statics: Moment and force systems in 2 and 3 dimensions. Free-body diagrams and equilibrium of material bodies. Applications of equilibrium equations on material bodies and parts of 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. The project is executed in student groups consisting of two students. The work is independent, with the possibility of teacher support during scheduled computer exercises.

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: FMEA30