Quantities, units and dimensions, vector algebra and vector geometry. Particle kinematics in Cartesian coordinates, cylinder coordinates and natural components. Inertial systems, forces, free-body diagram and Newton's laws. Work, power, energy, conservative forces, kinetic and potential energy. Movement torque and moment equation. Central force motion. Linear oscillations in one dimension: harmonic, damped and forced.
SG1115 Particle Dynamics with project 7.5 credits
About course offering
For course offering
Spring 2025 Start 17 Mar 2025 programme students
Target group
No information insertedPart of programme
Degree Programme in Engineering Mathematics, åk 1, Mandatory
Periods
P4 (7.5 hp)Duration
Pace of study
50%
Form of study
Normal Daytime
Language of instruction
Swedish
Course location
KTH Campus
Number of places
Places are not limited
Planned modular schedule
Course memo
Course memo is not publishedSchedule
Schedule is not publishedApplication
For course offering
Spring 2025 Start 17 Mar 2025 programme students
Application code
61536
Contact
For course offering
Spring 2025 Start 17 Mar 2025 programme students
Contact
Jens Fransson (jensf@kth.se)
Examiner
No information insertedCourse coordinator
No information insertedTeachers
No information insertedContent and learning outcomes
Course contents
Intended learning outcomes
After completing the course the student should be able to:
- read and understand mathematical text applied in the field of mechanics and communicate reasoning and calculations in this field orally and written in such a way that they are easy to follow,
- identify a concrete mechanical problem, and choose suitable mechanical models based on a problem description,
- translate the mechanical model into a mathematical model,
- mathematically treat the problem and critically analyze the significance of the result,
in order to use a physical mindset and communicate this within the framework of engineering science contexts.
Literature and preparations
Specific prerequisites
Active participation in the mathematics course in single variable analysis.
Recommended prerequisites
Equipment
Literature
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
Examination
- INL1 - Hand-in assignments, 1.5 credits, grading scale: P, F
- PRO1 - Project, 1.5 credits, grading scale: P, F
- TEN1 - Theory exam, 1.5 credits, grading scale: A, B, C, D, E, FX, F
- TEN2 - Problem exam, 3.0 credits, grading scale: A, B, C, D, E, FX, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.