## autumn 2022 STE-3800 Classical Mechanics - 5 ECTS

Last changed 07.06.2022

Applicants from countries within EU/EEA: June 1st. Exchange students and Fulbright students: April 15th.

## Type of course

Can be taken as a singel course

A relevant undergraduate bachelor in engineering, primarily within electronics or space technology.

In addition, the following requirements must be met:

- minimum 25 credits in mathematics (equivalent to Mathematical Methods 1, 2 og 3), 5 credits in statistics and 7,5 ects i physics on a higher level is required.

Application code: 9371

## Course overlap

Du vil få en reduksjon i antall studiepoeng (som oppgitt under), dersom du avlegger eksamen i dette emnet og har bestått følgende emne(r) fra før av:

STE-3501 Classical Mechanics 5 stp

## Course content

This course will provide the students with the knowledge, skills and tools necessary to model dynamical systems in different ways, and know when to use those different methods. Throughout the course students will acquire skills on

Kinematics: Direction cosine matrices, Euler angles, Euler's theorem, quaternions, homogeneous transformations, Screw-theory.

Dynamics: Newton-Euler Equations, Non-inertial coordinate systems, Euler-Lagrange

Equations, Hamilton Equations, D'Alembert and Hamilton principles, Generalized coordinates, Conservation Laws, Holonomic and Non-holonomic constraints, perturbation theory.

Fluid dynamics: density, pressure, viscosity, compressibility, fluid flow, bernoulli's equation.

## Objectives of the course

After subject has been passed the students should have acquired the following learning results:

Knowledge and understanding:

The candidate:

• has knowledge on how to model rigid bodies by accounting for forces and moments acting on them.
• has knowledge on the most important parameterization of rotations.
• has knowledge on the principles for use of Newton-Euler equations of motion.

Skills:

The candidate:

• is able to apply their knowledge of classical mechanics to solve concrete problems.
• is able to differentiate vectors in inertial and non-inertial coordinate reference frames.
• is able to derive models for rigid-bodies through the use of Newton's laws of motion and Lagrangian formulations.

General competences:

The candidate should be able to solve theoretical problems related to the kinematics and dynamics of rigid-bodies and should be able to solve simple fluid mechanics problems.

This course will provide the students with the knowledge, skills and tools necessary to model dynamical systems in different ways, and know when to use those different methods. Throughout the course students will acquire skills on

Kinematics: Direction cosine matrices, Euler angles, Euler's theorem, quaternions, homogeneous transformations, Screw-theory.

Dynamics: Newton-Euler Equations, Non-inertial coordinate systems, Euler-Lagrange

Equations, Hamilton Equations, D'Alembert and Hamilton principles, Generalized coordinates, Conservation Laws, Holonomic and Non-holonomic constraints, perturbation theory.

Fluid dynamics: density, pressure, viscosity, compressibility, fluid flow, bernoulli's equation.

English

Lectures

## Information to incoming exchange students

This course is open for inbound exchange student who meets the admission requirements. Please see the Admission requirements" section".

Master Level

Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: https://en.uit.no/education/art?p_document_id=510412.