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: 2015/16

Decided by: Education Board E

Date of Decision: 2015-04-13

Main field: Technology.

Compulsory for: Pi1

Language of instruction: The course will be given in Swedish

The aim of the course is that the student shall aquire:

- knowledge about the basic concepts in mechanics for material systems in equilibrium, particles in motion, particle systems and rotating rigid bodies (fixed axis)
- knowledge and skills in engineering modeling strategies
- ability to solve problems within a wide range of applications by using knowledge in mechanics and mathematics

Knowledge and understanding

For a passing grade the student must

- be able to understand and apply fundamental conceptions and equations within mechanics, and express them as scalars and vectors
- be able to draw a free body diagram of a material body and set up equilibrium equations
- be able to describe velocities and accelerations in a suitable coordinate system
- be able to use knowledge in mechanics for problem solving within a wide range of different applications in statics and particle dynamics, including particle systems and fixed axis rotation of rigid bodies

Competences and skills

For a passing grade the student must

- be able to delimit a problem and identify interfaces starting with a real situation
- apply systematical methods to analyse mechanical systems in equilibrium and particles and particle systyems in motion
- present written solutions to mechanical problems including assumptions, equations and suitable drawings and free body diagrams
- develop ability to solve problems by applying mathematical methods within, for example, linear algebra and the theori of ordinary differential equations

Judgement and approach

For a passing grade the student must

- be able to evaluate the physical consistence of the obtained results

**Statics:** Moment and force systems in two
and three dimensions. Equivalent force systems. Free-body diagrams
and equilibrium. Virtual work. Applications of equilibrium
equations on material bodies and parts of bodies. Point forces,
distributed forces, external and internal forces. Center of mass
and center of gravity. Friction. Applications such as for example
frames, machines, beams and hydrostatics.

**Dynamics:** Newton’s laws. Kinematics and
kinetics of particles in straight and curved motion.
Cartesian, natural and polar coordinates. Energy and work.
Momentum and angular momentum. Impulse and angular impulse. Impact.
Newton´s laws, kinematic s and kintetics for particle systems and
rigid bodies in fixed axis rotation. Moment of inertia. Vibrations
of damped and undamped mechanical systems. Free and forced
vibrations. Particle movement and rigid body vibration. Eigen
frequencies, resonance and relative damping.

Grading scale: TH

Assessment: Two written exams, one for each part of the course. The written exam for part one is preceded by voluntary dugga. The dugga-result may be used to complement the result of the current regular written exam of part one. The final grade of the course is calculated by weighting the grades form the two parts of the course in relation to the course credits.

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

The course overlaps following course/s: FMEA30, FMEA10, FMEA20, FMEA05

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

Course coordinator: Kristina Nilsson, kristina.nilsson@mek.lth.se

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