SG1130 Mechanics I 9.0 credits
Mekanik I
Education cycle
First cycleMain field of study
Technology
Grading scale
A, B, C, D, E, FX, F
Course offerings
Spring 19 CDEPR1 for programme students

Periods
Spring 19 P3 (4.5 credits), P4 (4.5 credits)

Application code
60434
Start date
15/01/2019
End date
04/06/2019
Language of instruction
English
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Schedule
Course responsible
Michael Liverts <liverts@kth.se>
Teacher
Michael Liverts <liverts@kth.se>
Target group
CDEPR1
Part of programme
Spring 19 CMAST for programme students

Periods
Spring 19 P3 (4.5 credits), P4 (4.5 credits)

Application code
60433
Start date
15/01/2019
End date
04/06/2019
Language of instruction
Swedish
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Schedule
Course responsible
Philipp Schlatter <philipps@kth.se>
Teacher
Philipp Schlatter <philipps@kth.se>
Target group
CMAST1
Part of programme
Spring 20 CMAST for programme students

Periods
Spring 20 P3 (4.5 credits), P4 (4.5 credits)

Application code
60010
Start date
15/01/2020
End date
01/06/2020
Language of instruction
Swedish
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Course responsible
Philipp Schlatter <philipps@kth.se>
Teacher
Ricardo Vinuesa Motilva <rvinuesa@kth.se>
Target group
CMAST1
Part of programme
Spring 20 CDEPR1 for programme students

Periods
Spring 20 P3 (4.5 credits), P4 (4.5 credits)

Application code
60714
Start date
15/01/2020
End date
01/06/2020
Language of instruction
English
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Course responsible
Michael Liverts <liverts@kth.se>
Teacher
Michael Liverts <liverts@kth.se>
Target group
CDEPR1
Part of programme
Intended learning outcomes
The students should be able to, starting with a concrete mechanical problem, make idealizations, motivate and create a mathematical model, solve it using mathematical or numerical methods and finally critically scrutinize the result. Further the students should be able to differentiate between reality and theoretical model and understand the interaction between basic observations, model building, and axioms, postulates, laws and their consequences.
Measurable aims: After passing the course the students should be able to: Define the basic concepts and quantities in mechanics and explain how they are related, e.g. velocity, acceleration, mass, time, force, and moment of force. Formulate the laws of motion and derive the connections between them, e.g. Newton’s laws for particles, inertial systems, laws about equilibrium of rigid bodies. Identify and define typical systems of forces and a manifold of more abstract mechanical quantities (center of mass, momentum, angular momentum, resultant force, impulse, angular impulse, work, kinetic and potential energy, conservative and nonconservative forces). Discuss central mechanical phenomena (such as free fall, free damped and undamped harmonic oscillation, forced oscillation, resonance, Kepler motion, elastic and completely inelastic impact, etc). Prove abstract energy and momentum laws starting from Newton’s laws. Analyze given systems of forces, and simplify them as far as possible. Analyze given motions with suitable choice of coordinate systems (inertial systems). Calculate forces and positions of equilibrium. Starting from Newton’s laws and kinematic and geometric relationships put down mathematical models for different types of particle motions and make calculations of this motion.
Course main content
Statics: Quantities, units, and dimension, vector algebra and vector geometry, geometry of force systems including resultant force, couples etc. Necessary conditions for equilibrium, force and torque in a beam, centre of mass.
Particle dynamics: Kinematics of a particle in Cartesian coordinates, cylindrical (polar) coordinates, natural components. Inertial systems, forces, and Newton’s laws. Work, power, energy, conservative forces, kinetic and potential energy. Motion in central force fields. Linear oscillations, harmonic, damped, and forced.
Systems of particles: The basic principles of linear and angular momentum.
During the course the student must practice formulation of problems, modelling, idealization and quantitative as well as qualitative estimates. Group interaction is also practiced since the hand in assignments normally are done as collaborations. The ability to communicate in writing is practiced since the students get feedback on their assignments, as well as on their variuos exams. English is trained in various ways. The relevant english vocabulary is made available to the student in the form of lists with translations. Giving some assignments in English provides examination and training of this vocabulary.
Eligibility
Necessary: 5B1132/SF1618 Analytical Methods and Linear Algebra, 8p.
Recommended: SK1112 Physics with experimental methodology, 9 hp,
KF1030 Perspectives of Materials Design (for BDstudents)
MJ1101 (for Mstudents)
MF1011 (for Pstudents)
SD1000 Perspectives of Vehicle Engineering (for Tstudents
Literature
Kursansvarig lärare väljer mellan:
Christer Nyberg: Mekanik grundkurs och Mekanik grundkurs Problemsamling LIBER förlag,
eller
Nicholas Apazidis, Mekanik, Studentlitteratur.
Examination
 INL1  Assignments, 1.5, grading scale: P, F
 TEN1  Examination, 3.0, grading scale: A, B, C, D, E, FX, F
 TEN2  Examination, 4.5, grading scale: A, B, C, D, E, FX, F
Requirements for final grade
Home assignments (INL1; 1,5 university credits)
Two written examinations:
Theory part (TEN1; 3 university credits) may also be examined in the form of KON
Problem solving part (TEN2; 4,5 university credits)
Offered by
SCI/Mechanics
Examiner
Michael Liverts <liverts@kth.se>
Philipp Schlatter <philipps@kth.se>
Addon studies
Mechanics II.
Version
Course syllabus valid from: Spring 2016.
Examination information valid from: Autumn 2007.