Dynamics Chapter 11: Differential equations of motion of a particle 8 11-1 The differential equations of motion of a particle The basic equation of dynamics (ma= represented b equations in differential forms are called the differential equations of motion of a particle. 1.Vector form m ar=F(In this formula, r=r(t describes the equation of motion of a particle in terms of its radius vector). 2. Forms in rectangular coordinates: x=x() (In these formulae, y=y() describe the motion of =Y z=2(t a particle in terms of rectangular coordinates). =Z d t 2
11 Chapter11: Differential equations of motion of a particle §11-1 The differential equations of motion of a particle The basic equation of dynamics represented by equations in differential forms are called the differential equations of motion of a particle. (ma = F) 1.Vector form (In this formula, describes the equation of motion of a particle in terms of its radius vector). 2 2 F dt d r m = r = r(t) = = = Z dt d y m Y dt d y m X dt d x m 2 2 2 2 2 2 2. Forms in rectangular coordinates: (In these formulae, describe the motion of a particle in terms of rectangular coordinates). ( ) ( ) ( ) = = = z z t y y t x x t
学 第十一章质点运动微分方程 §11-1质点运动微分方程的形式 将动力学基本方程(m=F)表示为微分形式的方程,称为 质点的运动微分方程。 1矢量形式 m4=F(式中r=(0)为质点矢径形式的运动方程) 2直角坐标形式 X x=x(t) m2=y(式中{y=y()为质点直角坐标形式的运动方程) z=2(1) Z 12
12 将动力学基本方程 表示为微分形式的方程，称为 质点的运动微分方程。 (ma = F) 1.矢量形式 ( ( ) ) 2 2 F 式中r r t 为质点矢径形式的运动方程 dt d r m = = 第十一章 质点运动微分方程 §11-1 质点运动微分方程的形式 ) ( ) ( ) ( ) ( 2 2 2 2 2 2 式中 为质点直角坐标形式的运动方程 = = = = = = z z t y y t x x t Z dt d y m Y dt d y m X dt d x m 2.直角坐标形式