Analytical DynamicsLaajuus (5 cr)

Objective

Aim is to learn to describe system's motion by Lagrangian and Hamiltonian equations and taking into account the effect of rotating and/or accelarated motion of coordinate system (Noninertial Reference Frame) on equations. The course develops the following generic skills: critical thinking, identification and development of one's own expertise, and interaction and communication

Content

Gravitation. Calculus of variation. Hamilton's principle. Lagrangian and Hamiltonian dynamics. Central-force motion. Motion in a noninertial reference frame. Dynamics of rigid body.

Qualifications

Basics Physics I, basics studies in mathematics, Multidimensional Analysis a and b, Differential Equations a or equivalent knowledge.

Materials

Thornton, Marion: Classical dynamics of particles and systems, 5. edition.

Further information

The course will be held every academic year. This course is intended for the following student groups: • Undergraduate students in Technical Physics and Applied Physics (BSc) • Other undergraduate or graduate students in technology, physics and mathematics and lifelong learners provided that the pre-requisites are met.

Execution methods

48 h lectures, 20 h exercises, 67 h independent studying

Accomplishment methods

Modes of study: Exercises (40% mandatory) and written exam or general exam. Evaluation criteria: Exercises pass-fail, exam 0-5 (approved performance 50% of the maximum points of the exam) or general exam 0-5 (approved performance 50% of the maximum points of the exam).