## Fundamental Mechanics

JA | EN

 科目ナンバリング U-ENG23 23504 LE57 開講年度・開講期 2020・前期 単位数 2 単位 授業形態 講義 対象学生 学部生 使用言語 英語 曜時限 月4 教員 AN，Lin（工学研究科 准教授） 授業の概要・目的 Newtonian mechanics and its application to engineering are interpreted with concentration on single particle, multi-partical system and rigid body. Especially,some mathematical approaches necessary for mechanics are introduced based on those mathematical knowledge learned in the first academic year. Meanwhile, the relationship between mechanical interpretation and mathematical treatment of some classical problems are specifically emphasized. Study of this lecture would not only make the students grasp basic principles of mechanics but also think more logically and systematically. 到達目標 As an intermediate course in mechanics at undergraduate level, this course aims at training students to think about mechanical phenomena in mathematical terms, developing an intuition for the precise mathematical formulation of mechanical problems and for the mechanical interpretation of the mathematical solutions. 授業計画と内容 Kinematics of a single particle in space,2回,algebra and calculus of vectors tangent and normal vectors to a curve definition of velocity and acceleration in 2-D motion by plane polar coordinates definition of velocity and acceleration in 3-D motion by cylindrical polar coordinates and spherical polar coordiantesLaws of motion,3回,Newton's laws of motion discussion of the general problem of 1-D motion linear differential equations with constant coefficient linear oscillations,resonance,principle of superposition discussion of the general problem of 2-D and 3-D motionProblems in particle dynamics,1回,the Law of Gravitation center of mass and center of gravity motion through a resisting medium constrained motionenergy conservation,2回,energy theorems definition of potential energy, conservative force conservation of mechanical energy in 3-D conservative field energy conservation in constrained motion motion of a system of particles ,2回,degrees of freedom, energy principle linear momentum principle, conservation of linear momentum, collision theory and two-body scattering angular momentum principle, conservation of angular momentum Rotating reference frames,1回,transformation formulae particle dynamics in a non-inertial frame motion relative to the Earth multi-particle system in a non-inertial framemotion of rigid bodies ,2回,dynamical problem of the motion of a rigid body rotation about an axis statics of rigid bodies statics of structures equilibrium of flexible strings and cables equilibrium of solid beams angular momentum of a rigid body inertia and stress tensorsfoundation of analytical mechanics,1回,Constraint condition, constraint force,generalized coordinate, generalized force,Lagrange's equations.confirmation of achievement,1回,The achievement assessment is intended to measure students' knowledge, skill and aptitude on the subject using quiz and viva-voce. 成績評価の方法・観点 Grade is evaluated based on the final examination, assignment, and class-discussion. 履修要件 calculus A and B, Linear Algebra A and B 授業外学習（予習・復習）等 Students must preview and review related contents based on PPT materials downloaded from KULASIS 教科書 R.DOUGLAS GREGORY: Classical Mechanics, Cambridge University Press, 2006 isbn9780521534093 参考書等 Keith R.Symon: Mechanics, Third edition, Addison-Wesley, 1971 isbn0201073927 Ferdinand P. Beer, E. Russell Johnston, etc.: Mechanics for Engineers, Dynamics, McGraw Hill, 2007 isbn9780072464771 