Theoretical mechanics
Theoretical mechanics
距论力学
Kinematics Introduction Basic concepts of kinematics (1 Kinematics The science of the relation between a given motion of an object and time in which only the geometrical characteristics of the motion such as trajectories, velocities and accelerations, are studied but not the reasons for the motion considered @objects of @ Develops the methods for describing mechanical motions kinematics@Establishes the relations between the variables related to motion Why we Foundations for the following courses andand direct study it? applications in engineering practice. @Relativity Reference object; frame of reference system, frame of static of motion reference System, moving frame of reference system. ⑥ )Instant of time, interval of time ()t(---)AM=t2-t cLassification 1)Motion of a particles of motions 2)Motion of a rigid body
()t ()t t 2t1 ①Kinematics ②Objects of kinematics ③Why we study it? ④Relativity of motion ⑤Instant of time, interval of time ⑥Classification of motions Basic concepts of kinematics The science of the relation between a given motion of an object and time. in which only the geometrical characteristics of the motion such as trajectories, velocities and accelerations, are studied, but not the reasons for the motion considered. ①Develops the methods for describing mechanical motions. ②Establishes the relations between the variables related to motion. Foundations for the following courses and and direct applications in engineering practice. Reference object; frame of reference system, frame of static reference System, moving frame of reference system. 1) Motion of a particles . 2)Motion of a rigid body . Introduction
远动学 引 运动学的一些基本概念 ①运动学是研究物体在空间位置随时间变化的几何性质的科学 包括:轨迹,速度,加速度等)不考虑运动的原因 ②运动学研究的对象①建立机械运动的描述方法 ②建立运动量之间的关系 ③运动学学习目的为后续课打基础及直接运用于工程实际。 ④运动是相对的( relativity):参考体(物);参考系;静系;动系。 瞬时、时间间隔()t(--)M=t2-t ⑥运动分类1)点的运动2)刚体的运动
()t ()t t 2t1 ①运动学 ②运动学研究的对象 ③运动学学习目的 ④运动是相对的 ⑤瞬时、时间间隔 ⑥运动分类 运动学的一些基本概念 是研究物体在空间位置随时间变化的几何性质的科学。 (包括:轨迹，速度，加速度等)不考虑运动的原因。 ①建立机械运动的描述方法 ②建立运动量之间的关系 为后续课打基础及直接运用于工程实际。 ( relativity ):参考体(物);参考系;静系;动系。 1)点的运动 2)刚体的运动 引 言
Theoretical mechanics Chapter 6, Kinematics or a parcicle
Theoretical mechanics
距论力学 第六动学
Chapter 6: Kinematics of a Particle 心§6-1 Description of the motion of a particle using a vector of position 8 6-2 Description of the motion of a particle using rectangular coordinates 8 6-3 Description of the motion of a particle using natural coordinates
§6–1 Description of the motion of a particle using a vector of position § 6–2 Description of the motion of a particle using rectangular coordinates § 6–3 Description of the motion of a particle using natural coordinates Chapter 6 : Kinematics of a Particle
第六章点的运动学 §6-1点的运动矢量分析方法 §6-2点的运动的直角坐标法 □§6-3点的运动的自然坐标法
§6–1 点的运动矢量分析方法 §6–2 点的运动的直角坐标法 §6–3 点的运动的自然坐标法 第六章 点的运动学
Kinematics 86-1 Description of the motion of a particle using a vector of position 1. Equation of motion trajectory(path) M =OM r(t) 2. velocity of a particle r(t+△) v=lim F A→0tadt 3. Acceleration of a particle a= lim= →0 dt dt dt2
9 1. Equation of motion, trajectory (path) 2.Velocity of a particle 3. Acceleration of a particle r OM r dt d r Δt Δ r v Δt 0 lim r dt d r dt dv Δt Δ v a Δt 2 2 0 lim §6-1 Description of the motion of a particle using a vector of position
远动学 §6-1点的运动矢量分析方法 一.运动方程,轨迹 M r=OM 二.点的速度 r(t) dr dr r(t+△) v=lm At→0∠tat 三.加速度 a=im A→0∠t
10 一.运动方程，轨迹 二.点的速度 三.加速度 r OM r dt d r Δt Δ r v Δt 0 lim r dt d r dt dv Δt Δ v a Δt 2 2 0 lim §6-1 点的运动矢量分析方法