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: 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.

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.