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## Syllabus for

TME030 - Mechanics and solid mechanics 3

Owner: TKMAS
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: First-cycle
Major subject: Mechanical Engineering
Department: 42 - APPLIED MECHANICS

Teaching language: Swedish

 Course module Credit distribution Examination dates Sp1 Sp2 Sp3 Sp4 Summer course 0105 Examination 7,5c Grading: TH 7,5c 22 Oct 2010 am M, 11 Jan 2011 am M, 27 Aug 2011 am M

#### Examiner:

Professor  Anders Boström

#### Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

#### Course specific prerequisites

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

#### Aim

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 simple dynamic problems numerically using Matlab.

#### Content

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.

#### Organisation

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

#### Literature

Mekanik, Ragnar Grahn och Per-Åke Jansson, Studentlitteratur, 2002. Formelsamling i mekanik, M.M. Japp, Inst. för teknisk mekanik

#### Examination

Project in Dynamics using Matlab Written exam Optional written quizzes that can give bonus to the final exam.

Published: Wed 26 Feb 2020.