FURTHER BASICS 5-1 · LINEAR MOMENTUM m NEWTON'S LAW ∴F=P ow TAKE THE MOMENT OF MDMENTUM ANGULAR MOMENTUM MUST EXPLICITLY OEFINE

Spring 2003 Lagrange's equations Joseph-Louis lagrange 1736-1813 http://www-groups.dcs.st-and.ac.uk/-history/mathematicians/lagranGe.html Born in Italy. later lived in berlin and paris Originally studied to be a lawyer Interest in math from reading halleys 1693 work on

NUMERICAL SOLUTION GIEN A COMPLEX SET of OYNAMICS (t)=F(x) WHERE F() COULD BE A NONLINEAR FUNCTION IT CAN BE IMPOSS IBLE To ACTVALLY SOLVE FoR ( ExACTLY. OEVELOP A NUMERICAL SOLUTION. CANNED CoDES HELP US THIS TN MATLAB BUT LET US CONSDER THE BASiCS

Spring 2003 Derivation of lagrangian equations Basic Concept: Virtual Work Consider system of N particles located at(, x2, x,,.x3N )with 3 forces per particle(f. f, f..fn). each in the positive direction

美国麻省理工大学：《Aerospace Dynamics（航空动力学）》英文版 lecture 11

LECTURE+ 12 RIGID BODY OYNAAICS 工 MPLICAT IONsF GENERAL ROTATIONAL OYWMICS EJLER's EQUATIN of MOTION TORQVE FREE SPECIAL CASES. PRIMARY LESSONS: 30 ROTATONAL MOTION MUCH MORE COMPLEX THAN PLANAR (20) EULER'S E.o.M. PROVIOE STARTING POINT FoR ALL+ OYwAmIcs SOLUTINS To EvlER's EQuATIONS ARE COMPLEX BUT WE CAN OEVE LOP GooO GEOMETRIC VISUALIZATION TOOLS

Aircraft Dynamics First note that it is possible to develop a very good approximation of a key motion of an aircraft(called the Phugoid mode) using a very simple balance between the kinetic and potential energies Consider an aircraft in steady, level fight with speed Uo and height ho

美国麻省理工大学：《Aerospace Dynamics（航空动力学）》英文版 Lecture 15

第十二章排污权交易 第一节排污权交易的主要思想 第二节排污权交易的微观效应和宏观效应 第三节排污权交易的主要特点 第四节实行排污权交易的条件 第五节美国的排污权交易政策 第六节中国的排污权交易

7-11公司介绍 所谓\7-11指的是美国的零售连锁企业\7-1 也就是从早晨7时到晚上11时营业的意思实际 上经过70多年的发展,虽然名字依然是\7-11 但是它已经发展成为24小时营业、世界知名 的、最大的连锁零售商店,在全球20多个国 家拥有2,1万家左右的连锁店