(Created 2009-08-11.)

ENGINEERING MECHANICS - STATICS AND PARTICLE DYNAMICS | FMEA05 |

**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

*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

*Skills and abilities*

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:** Newtons 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.

**Literature**

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.