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
Grading scale: TH
Assessment: Written exam. Written project report.
Admission
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
Reading list
- Nyberg C. : Mekanik, Grundkurs, Liber, 2003.
- Nyberg C. : Mekanik, Problemsamling, Liber, 2003.
- A short introduction to ADAMS, Avdelningen för Mekanik, LTH.
- Project in Mechanics, Avdelningen för Mekanik, LTH.
Contact and other information
Course coordinator: Prof. Solveig Melin, solveig.melin@mek.lth.se
Course homepage: http://www.mek.lth.se