Entry requirements

Participation in Geometry and Calculus II/Several Variable Calculus/Several Variable Calculus, Limited Version/Several Variable Calculus M/Calculus in Several Variables. Participation in Linear Algebra II and Mechanics II/Applied Mechanics I/Mechanics/Mechanics KF.

Learning outcomes

On completion of the course, the student should be able to:

• Account for fundamental quantities in the kinematics and dynamics of rigid bodies
• Apply the theory of rigid body mechanics in three dimensions based on Euler’s laws
• Apply kinematic and dynamic relations for central-force motion
• Account for fundamental quantities and relationships in analytical mechanics
• Account for fundamental concepts and principles in special relativity
• Analyse physical processes and discuss technical applications by formulating mechanical models based on relevant idealisations and use mathematical methods to analyse the motion of different objects
• Demonstrate analytical problem-solving skills and discuss technical applications in rigid body mechanics, analytical mechanics and special relativity and assess the results
• Carry out physical experiments and explain and defend the results orally and in writing

Content

Rigid body motion in three dimensions: the inertia tensor, Euler’s equations and applications.

Central-force motion.

Constraints and generalised coordinates, Hamilton’s principle, Lagrange’s equations with applications. Hamilton’s equations. Coupled oscillations.

Special relativity. Four-vectors and tensors.

Experimental work, oral and written presentation.

Instruction

Lectures, exercise classes and laboratory exercises. Guest lecture or study visit.

Assessment

Written examination at the end of the course as well as optional oral and written continuous examination which can replace part of the examination (4.5 credits). Laboratory exercises with oral and written examination (0.5 credits).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.