| TMME32 |
Mechanics, second course, 4 ECTS credits.
/Mekanik, fortsättningskurs/
For:
Yi
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Prel. scheduled
hours: 42
Rec. self-study hours: 65
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Area of Education: Technology
Main field of studies: Applied Physics, Mechanical Engineering
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Advancement level
(G1, G2, A): G1
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Aim:
To develop a broader and deeper knovledge of classical mechanics through the study of particle mechanics relative to rotating references, rigid body dynamics and oscillations with several degrees of freedom.
After the course, the student should be able to:
- Select a coordinate system for a specific dynamics problem with insight into the consequences of different choices.
- Analyze dynamics problems using numerical solution of systems of ordinary differential equations.
- Use vector algebraic methods to analyze dynamics problems, including eigenvalue analysis and coordinate transformations.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Basic mechanics, calculus including differential equations, vector and matrix algebra.
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Supplementary courses:
Courses in Physics, Applied mechanics, Mechatronics Vehicle dynamics and Solid mechanics.
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Organisation:
The course is given as a series of lectures and computer sessions. Mor emphasis than typical for a course at this level is given to computer sessions where the students implement mechanical models in MATLAB.
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Course contents:
Newton's equations of motion. The concept of an inertial system. Relative motion in the plane. Angular velocity and acceleration as vectors. The Coriolis equation. Dynamics of paricles in rotating coordinate systems. The equations of motion for systems of particles and for rigid bodies.
Calculation of the moment of momentum for a rigid body.
The inertia tensor and its representation in different coordinate systems. Oscillations with several degrees of freedom. Interpretation of the eigenvectors as eigenmodes.
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Course literature:
Compendium from the department.
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Examination: |
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Written examination
Computer assignments
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2 ECTS
2 ECTS
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Course language is Swedish.
Department offering the course: IEI.
Director of Studies: Peter Schmidt
Examiner:
Course Syllabus in Swedish
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