# Mechanics - Dynamics, 6 credits (TMME13)

Mekanik - dynamik, 6 hp

### Main field of study

Mechanical Engineering

First cycle

Programme course

Ulf Edlund

### Director of studies or equivalent

Peter Schmidt
Course offered for Semester Period Timetable module Language Campus VOF
6CDPU Design and Product Development, M Sc in Engineering 3 (Autumn 2017) 1 3 Swedish Linköping o

### Main field of study

Mechanical Engineering

First cycle

G1X

### Course offered for

• Design and Product Development, M Sc in Engineering

### Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

### Prerequisites

Basic courses in linear algebra and calculus.

### Intended learning outcomes

To give the student familarity with the fundamental laws of classical mechanics and the skill to independently apply these laws to engineering problems. After the course, the student should be able to:

• explain the properties of a force.
• define basic concepts of mechanics such as equilibrium, velocity,acceleration, angular velocity, angular acceleration, momentum, angular momentum, moment of inertia, work, energy.
• write down expressions for and compute the above quantities for engineering problems.
• draw free body diagrams, formulate kinematical relations, apply Euler's laws and thereby find the ordinary differential equations governing the motion of a body.

### Course content

Newton's laws of motion. Newtons law of gravitation.
Velocity and acceleration in cartesian and plane polar coordinates. Linear oscillations with one degree of freedom. Momentum and moment of momentum. The moment law for a particle. Work. Kinetic energy. The potentials of a spring and a parallell force field. Coriolis' equation.
Kinematic relations for a rigid body. The moment of momentum for a rigid body.
The inertia matrix. Eulers' equations of motion for a rigid body. plane parallell motion. Rolling.

### Teaching and working methods

The course is given as a series of lectures and classes.

### Examination

 TEN1 Written examination U, 3, 4, 5 6 credits
The exam paper is awarded a maximum of 15 points with 6 points required to pass.

Four-grade scale, LiU, U, 3, 4, 5

### Other information

Supplementary courses: Road Vehicle Dynamics, Mechanics Second Course, Vibration Analysis of Structures, Models of Mechanics, Multi Body Dynamics and Robotics, Biomechanics, Automatic Control, Solid Mechanics, Fluid Mechanics, Machine Elements.

### Department

Institutionen för ekonomisk och industriell utveckling

Peter Schmidt

Ulf Edlund

### Course website and other links

http://www.mechanics.iei.liu.se/edu_ug

### Education components

Preliminär schemalagd tid: 54 h

### Course literature

#### Kompletterande litteratur

##### Böcker
Meriam, J.L., Kraige, L.G, Engineering Mechanics Vol 1 & 2

### Books

Meriam, J.L., Kraige, L.G, Engineering Mechanics Vol 1 & 2