(Created 2009-08-11.)

MECHANICS - STATICS AND DYNAMICS | FMEA15 |

**Aim**

- give knowledge about the basic concepts in mechanics for material systems at rest and motion
- give knowledge and skills in engineering modeling

*Knowledge and understanding*

For a passing grade the student must

- be able to explain and apply fundamental concepts 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 use the balance equations for a particles and rigid bodies in plane motion
- be able to describe velocities and accelerations in Cartesian, polar and natural coordinates systems

*Skills and abilities*

For a passing grade the student must

- starting with a real situation be able to delimit a problem and treat material bodies such as particles and rigid bodies
- 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
- 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 consistence of the obtained results

**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.

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.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.

**Literature**

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

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

**Code: **0109.
**Name: **Statics and Particle Dynamics.

**Higher education 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: 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.

**Code: **0209.
**Name: **Dynamics.

**Higher education 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.