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SG1107 Mechanics 7.5 credits

Mekanik

The course gives the basics of mechanics, for later use in courses in structural- and fluid mechanics. It focuses on statics and the dynamics of particles, as well as basic principles.

  • Educational level

    First cycle

  • Academic level (A-D)

    A

  • Subject area

    Techonology

  • Grade scale

    A, B, C, D, E, FX, F

Course offerings

Spring 13 for programme students

Spring 14 Mek för S for programme students

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 non-conservative forces). Discuss central mechanical phenomena (such as free fall, free damped and undamped harmonic oscillation, forced oscillation, resonance, uniform circular 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

Vector algebra and dimensional methods, review.

Force and moment of force.

Systems of forces; couples, equipollent force systems.

Centre of mass, systems of particles, rigid bodies, compound bodies.

Equilibrium, conditions for equilibrium, 2D and 3D, friction.

Kinematics of particles, components of force and acceleration.

Work and energy; power and kinetic energy, conservative systems, energy conservation.

The moment equation;

Oscillations, free and forced, damped and undamped.

Eligibility

Physical Principles and Processes besides Mathematical methods II.

Literature

N. Apazidis, Mekanik. Statik och partikeldynamik, Studentlitteratur, 2004.

Examination

  • INL1 - Assignments, 1.5 credits, grade scale: P, F
  • TEN1 - Examination, 1.5 credits, grade scale: A, B, C, D, E, FX, F
  • TEN2 - Examination, 4.5 credits, grade scale: A, B, C, D, E, FX, F

Requirements for final grade

Hand in assignments (INL1; 1,5 university credits), a theory exam (TEN1; 1,5 university credits) and a problem exam (TEN2; 4,5 university credits). The theory exam can be taken by passing two exams during the course.

Offered by

SCI/Mechanics

Contact

Anders Eriksson

Examiner

Anders Eriksson <anderi@kth.se>

Version

Course plan valid from: Autumn 08.
Examination information valid from: Autumn 07.