| TFYA55 |
Mechanics II, 4 ECTS credits.
/Mekanik, fördjupningskurs/
For:
FyN
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Prel. scheduled
hours: 32
Rec. self-study hours: 75
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Area of Education: Science
Main field of studies: Physics, Applied Physics
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Advancement level
(G1, G2, A): G2
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Aim:
The aim of the course is to give the students a further knowledge and deeper understanding of classical mechanics. After completing the course the student should know how to:
- Solve problems in mechanics by applying Newton's and Lagrange's equations of motion
- Apply the theory on dynamics in noninertial frames, systems of particles and rigid body rotation
- Perform and analyze an experiment or simulation
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Mechanics I, Linear Algebra, Calculus in several variables
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:
Analytical mechanics, Theory of Relativity.
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Organisation:
The content of the course is presented in the form of lectures. Selected problems will be solved during exercizes. Laboratory work is included in the course.
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Course contents:
Repetition of basic concepts: Inertial frames, Newton's laws for a particle in Cartesisan and polar coordinates, conservation of momentum, angular velocity vector. Newton's laws in non-inertial frames: acceleration without rotation, inertial forces, rotating frames, Coriolis and centrifugal forces applied on motion relative to the earth. Dynamics of particle systems: center of mass, the angular momentum vector and its division into orbital and spin parts, torque. Rigid body dynamics: Rotation about fixed axis, moment of inertia and products of inertia, rotation about given point, inertia tensor, principal axes, Euler's equations applied to axially symmetric top and stability conditions for free rotation. Introduction to analytical mechanics: Lagrange's equations, generalized coordinates, constraints, degrees of freedom.
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Course literature:
John R. Taylor, 'Classical Mechanics', University Science Books (2005).
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Examination: |
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Written examination
Laboration course
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3 ECTS
1 ECTS
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Course language is Swedish.
Department offering the course: IFM.
Director of Studies: Magnus Boman
Examiner: Jonas Björk
Link to the course homepage at the department
Course Syllabus in Swedish
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