Studiehandboken 06/07 del 4 - KTH

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KTH Studiehandbok 2006-2007 Kursfordringar Inlämningsuppgifter (INL1; 1 p). Tentamen (TEN1; 2 p). Projektuppgift (PRO1; 2p) med skriftlig och muntlig redovisning. Kurslitteratur Nicholas Apazidis, Mekanik, Studentlitteratur 2004, ISBN 91-44-04245-0. Elements about particle systems. The moment equation. Rotation around a fixed axis. Central motion. Harmonic linear oscillations in one dimension, free and forced, damped and undamped. Prerequisites Linear algebra and geometry. Differential and integral calculus in one variable. Follow up 5C1113 Mechanics, Continuation Course 5C1400 Nonlinear Dynamics in Mechanics Requirements Hand in assignments (INL1; 1 p). Exam (TEN1; 2 p). Project (PRO1; 2p) with written and oral presentation. Required Reading Nicholas Apazidis, Mekanik, Studentlitteratur 2004, ISBN 91-44- 04245-0. 270 5C Mekanik
KTH Studiehandbok 2006-2007 5C1113 Mekanik, fortsättningskurs för F Poäng/KTH Credits 4 ECTS-poäng/ECTS Credits 6 Kursnivå/Level C Betygsskala/Grading, KTH 3, 4, 5 ECTS-betygsskala/Grading, ECTS A-F Obligatorisk för/Compulsory for F2 Språk/Language Svenska / Swedish Kurssida/Course Page http://www.mech.kth.se/ Mechanics, Continuation Course Kursansvarig/Coordinator Nicholas Apazidis, nap@mech.kth.se Tel. 790 7148 Kursuppläggning/Time Period 1 Föreläsningar 30 h Övningar 15 h Kortbeskrivning Mekanik, mest kroppars kinematik och dynamik samt analytisk mekanik Mål Kursens målsättning är att ge de studerande a) ökad förtrogenhet med de grundläggande lagarna inom den klassiska mekaniken samt en grund för fysikens övriga områden och de tekniskt tillämpade ämnena; b) färdighet i lagarnas tillämpning på konkreta mekaniska problem inklusive byggande och analys av matematiska modeller samt behandling av dessa med analytiska och andra metoder; c) inblick i det naturvetenskapliga betraktelsesättet. Kursinnehåll Rörelse i accelererade referenssystem. Stela kroppars dynamik. Lagrangeformalismen med tillämpningar. Hamiltonformalismen. Kopplade svängningar, normalmoder. Förkunskaper Första årskursens kurser i differential- och integralkalkyl, algebra samt mekanik, grundkurs (5C1103). Kursfordringar Inlämningsuppgifter (1 p), teori (kontrollskrivningar 1 p), skriftlig problemtentamen (2 p). Kurslitteratur Kompendium av Nicholas Apazidis. Rekommenderas även Fowles/Cassiday, "Analytical Mechanics, 5th edition" (1993), kapitlen 5 och 8 -11. Aim The aim of the course is to give the students: a) Greater familiarity with the fundamental laws of classical mechanics and a foundation for the other branches of physics and the technically applied disciplines. b) Skill in the application of these laws to concrete mechanical problems including construction and analysis of mathematical models and the use of the models together with analytical and other methods. c) Insight into methods and points of view of natural science. Syllabus Motion in accelerated reference frames. Dynamics of rigid bodies. The Lagrange formalism with applications. The Hamiltonian formalism. Coupled oscillations, normal modes. Prerequisites The first year algebra and calculus courses, and the basic mechanics course (5C1103). Required Reading Compendium by Nicholas Apazidis. Also recommended: Fowles/Cassiday, "Analytical Mechanics, 5th edition" (1993), chapters 5 and 8 -11. 5C Mekanik 271
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