SG1113 Mechanics, Continuation Course 6.0 credits
Mekanik, fortsättningskurs
Mechanics, mainly kinematics and dynamics of bodies and analytical mechanics
Education cycle
First cycleMain field of study
Mechanical Engineering
Technology
Grading scale
A, B, C, D, E, FX, F
Course offerings
Autumn 19 CTFYS, CL for programme students

Periods
Autumn 19 P1 (6.0 credits)

Application code
50849
Start date
26/08/2019
End date
25/10/2019
Language of instruction
Swedish
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Course responsible
Nicholas Apazidis
Teacher
Nicholas Apazidis <apazidis@kth.se>
Target group
CTFYS åk 2, CLGYM MAFY åk 3
Part of programme
Autumn 18 CTFYS, CL for programme students

Periods
Autumn 18 P1 (6.0 credits)

Application code
50531
Start date
27/08/2018
End date
26/10/2018
Language of instruction
Swedish
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Schedule
Course responsible
Nicholas Apazidis
Teacher
Nicholas Apazidis <apazidis@kth.se>
Target group
CTFYS åk 2, CLGYM MAFY åk 3
Part of programme
Intended learning outcomes
Overall aim
After passing this course the student should be able to
 Starting from a given problem, make idealizations, with motivations construct a mathematical model, and with mathematical and numerical methods, analyze the model for different values of given parameters, and interpret and critically analyze the result.
 Differentiate between reality and mathematical model and understand the connection between observations and model building which includes axioms, postulates, theorems, laws, and lemmas.
Measurable aims
After passing this course the student should be able to
 Define the basic concepts in mechanics for a system of particles and for a rigid body and to explain the connections between them. The concepts here are for example constraints, degrees of freedom, centre of mass, velocity, acceleration, angular velocity, angular acceleration, force, mass, moment of inertia, and moment of force.
 Identify a number of mechanical quantities such as momentum, angular momentum, impulse, moment of impulse, work, kinetic and potential energy for systems of particles and rigid bodies. Lagrange function, generalized momenta, and the Hamilton function for conservative systems.
 Analyze problems in an accelerated reference frame and explain the concepts needed for this.
 Describe the structure of the subject of mechanics and explain crucial mechanical phenomena such as coplanar motion, rotation about a fixed axis, impact phenomena.
 Formulate the laws of motion and deduce the connections between them
 Explain, calculate, and analyze central problems in rigid body mechanics as for example rotation about a fixed axis, rolling, and general coplanar motion.
 Analyze the state of motion of a rigid body and find out how the velocities and accelerations in different points are connected.
 Calculate forces and/or acceleration for a rigid body in motion.
 Starting from Euler’s laws write down mathematical models for different types of rigid body motions and make calculations of these motions.
 Formulate a mathematical model for a given problem and analyze the model with relevant mathematical methods and make a simple numerical analysis of the model, using results from courses in these subjects.
 Analyse the mathematical model using numerical and symbolical computer tools in order to effectively investigate and visualize the properties of the system.
 Explain central concepts in analytical mechanics, analyze motion using Lagrange’s method, Explain Hamilton’s principle, variational principles, Derive Hamilton’s canonical equations.
Course main content
The laws of mechanics for a system of particles. Rigid body two dimensional kinematics. Moments of inertia and products of inertia. Rigid body two dimensional dynamics. The laws of mechanics in accelerated reference frames.
Eligibility
The first year algebra and calculus courses, and the basic mechanics course (SG1130).
Literature
Nicholas Apazidis: Mekanik II, Studentlitteratur
Examination
 INL1  Hand in Task, 1.5, grading scale: P, F
 TENA  Examination, 1.5, grading scale: A, B, C, D, E, FX, F
 TENB  Examination, 3.0, grading scale: A, B, C, D, E, FX, F
Offered by
SCI/Mechanics
Contact
Nicholas Apazidis
Examiner
Nicholas Apazidis <apazidis@kth.se>
Version
Course syllabus valid from: Autumn 2014.
Examination information valid from: Autumn 2007.