Fundamental Mechanics
Numbering Code | U-ENG23 23504 LE57 | Year/Term | 2022 ・ First semester | |
---|---|---|---|---|
Number of Credits | 2 | Course Type | Lecture | |
Target Year | Target Student | |||
Language | English | Day/Period | Mon.4 | |
Instructor name | AN RIN (Graduate School of Engineering Associate Professor) | |||
Outline and Purpose of the Course | 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. | |||
Course Goals | 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. | |||
Schedule and Contents |
Kinematics of a single particle in space,2times,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 coordiantes laws of motion,3times,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 motion Problems in particle dynamics,1time,the Law of Gravitation center of mass and center of gravity motion through a resisting medium constrained motion energy conservation,2times,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,2times,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,1time,transformation formulaeparticle dynamics in a non-framemotion relative to the Earthmulti-particle system in a non-inertial frame motion of rigid body,2times,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 cablesequilibrium of solid beamsangular momentum of a rigid bodyinerital and stress tensors foundation of analytical mechanics,1time,Constraint condition,constraint force, generalized coordinate, generalized for, Lagrange's equations confirmation of achievement,1time,The achievement assessment is intended to measure students' knowlege, skill and aptitude on the subject using quiz and viva-voce. |
|||
Evaluation Methods and Policy | Grade is evaluated based on the final examination and assignments. | |||
Course Requirements | calculus A and B, Linear Algebra A and B | |||
Textbooks | Textbooks/References | R.DOUGLAS GREGORY: Classical Mechanics, Cambridge University Press, 2006 isbn{}{9780521534093} | ||
References, etc. |
Keith R.Symon: Mechanics, Third Edition, Addision-Wesley, 1971 isbn{}{0201073927} Fedinand P.Beer, E.Russell Johnston, etc.: Mechanics for Engineers, Dynamics, McGraw Hill, 2007 isbn{}{9780072464771} |
|||
Related URL |