| 自然坐标系中运动方程与轨迹方程的新形式及其应用 |
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| 引用本文： | 俞晓明,史友进.自然坐标系中运动方程与轨迹方程的新形式及其应用[J].盐城工学院学报(自然科学版),2012,25(2):15-17. |
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| 作者姓名： | 俞晓明 史友进 |
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| 作者单位： | 盐城工学院基础教学部,江苏盐城,224051 |
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| 摘 要： | 在自然坐标系中提出以速度倾角和曲率半径为坐标,得到新形式的运动方程和轨迹方程。讨论自然坐标与直角坐标间的变换式,并以两个典型问题的求解说明新形式轨迹方程运用的便捷性。
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| 关 键 词： | 自然坐标系 速度倾角 运动方程 轨迹方程 变换式 最速降线 |
New Form of Motion Equation and Trace Equation and Their Application in Natural Coordinate System |
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| YU Xiao-ming,SHI You-jin.New Form of Motion Equation and Trace Equation and Their Application in Natural Coordinate System[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2012,25(2):15-17. |
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| Authors: | YU Xiao-ming SHI You-jin |
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| Institution: | ( Department of Fundamental Science Teaching, Yancheng Institute of Technology, Yancheng Jiangsu 224051 ,China) |
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| Abstract: | In this article, the authors firstly propose the velocity inclination and curvature radius as coordinates in natural coordinate system to obtain a new form of motion equation and trace equation. Furthermore, they discuss the transformation between coordinates in natural coordinate system and those in Cartesian coordinates system. Finally, they show the superiority of trace equation with two typical problems successfully resolved. |
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| Keywords: | natural coordinate system velocity inclination motion equation trace equation transformation brachistochrone |
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