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滑动椭球凹面约束下的物体运动解析
引用本文:王礼祥.滑动椭球凹面约束下的物体运动解析[J].物理与工程,2005,15(6):32-33,40.
作者姓名:王礼祥
作者单位:西南民族大学,四川,成都,610041
摘    要:本文首先分析导出光滑平面上能自由滑动的静止旋转椭球凹面理想约束下静释放小球的运动轨迹,然后求出静释放小球(可视为质点)的运动速度表达式和加速度表达式,最后用Excel取特定数值作出了小球的速度和加速度与x的函数图像,可直观反映小球的速度和加速度变化的规律。

关 键 词:曲线运动  轨迹方程  曲率半径  速度  加速度
收稿时间:2005-07-28
修稿时间:2005-07-28

ANALYSIS OF THE MOTION UNDER CONSTRAINT CONDITION OF SMOOTH SPHEROIDAL CONCAVE SURFACE
Wang Lixiang.ANALYSIS OF THE MOTION UNDER CONSTRAINT CONDITION OF SMOOTH SPHEROIDAL CONCAVE SURFACE[J].Physics and Engineering,2005,15(6):32-33,40.
Authors:Wang Lixiang
Institution:Southwest University for Nationalities,Chengdu,Sichuan,610041
Abstract:The trajectory of the ball released with zero velocity onto the rotating spheroidal concave surface, which is stationary on a smooth plate, are analyzed. The expressions of the velocity and acceleration of the ball are derived. The functional images of velocity and acceleration are drawn in Excel by picking some specific values, and the motion pattern could be visualized.
Keywords:curvilinear motion  equation of locus  radius of curvature  velocity  acceleration
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