Search course

Use the search function to find more information about the study programmes and courses available at Chalmers. When there is a course homepage, a house symbol is shown that leads to this page.

Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
TME031 - Mechanics - dynamics
Mekanik - dynamik
Syllabus adopted 2019-02-21 by Head of Programme (or corresponding)
Owner: TKMAS
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Major subject: Mechanical Engineering

Teaching language: Swedish
Application code: 55137
Open for exchange students: No
Only students with the course round in the programme plan

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0110 Project 1,5 c Grading: UG   1,5 c    
0210 Examination 6,0 c Grading: TH   6,0 c   28 Oct 2020 am J   07 Jan 2021 am J,  27 Aug 2021 am J

In programs



Peter Möller

  Go to Course Homepage


General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

Mathematics, especially linear algebra, differential equations and integrals.
Mechanics, especially statics.


The aim of the course is that the students should attain basic understanding of fundamental laws and concepts of classical mechanics required to understand real world dynamic phenomena. Further, the course should give skills needed to solve basic problems in dynamics. The concepts of mathematical modelling and numerical solutions through Matlab are studied.

Learning outcomes (after completion of the course the student should be able to)

  • Describe and calculate the motion (position, velocity, acceleration) for particles and solids in plane motion.
  • Apply free-body diagrams and solve Newton s second law for plane problems.
  • Describe and explain kinetic energy, potential energy and work. Solve dynamical problems using these concepts.
  • Apply linear and angular momentum for particles and solids in plane motion.
  • Analyze and solve vibrations for systems of one degree of freedom; with and without damping.
  • Explain and calculate the moment of inertia for simple solids. Solve impact problems.
  • Analyze and solve  dynamic problems numerically using Matlab


Dynamics of particles: Kinematics. Newton's laws. Work, energy, linear and angular momentum. Energy and momentum methods, in particular conservation laws. Vibrations. Systems of particles. Dynamics of rigid bodies: Moment of inertia. Rotation about a fixed axis. General plane motion. Impact.


The teaching will be based on lectures, problem solving sessions, supervision of project work, and consultations.


Mekanik, Ragnar Grahn och Per-Åke Jansson, Studentlitteratur, 2013. Formelsamling i mekanik, M.M. Japp, Inst. för teknisk mekanik

Examination including compulsory elements

Project in Dynamics using Matlab. Written exam. Optional written quizzes that can give bonus to the final exam. The course is the last part of three connected courses.

Page manager Published: Thu 04 Feb 2021.