球在可自由移动的球形空腔内作纯滚动的运动分析  

Analysis of completely rolling of a sphere in a freely moving sphere cavity

作　　者：王树平[1] 苏景顺[1] 李彩娟[1] 崔红娜[1] 

机构地区：[1]河北建筑工程学院数理系,河北张家口075024

出　　处：《大学物理》2009年第2期15-17,20,共4页College Physics

基　　金：河北省教育科学研究"十一五"规划课题资助项目(06020501)

摘　　要：对在光滑水平面上可自由移动的球形空腔内作纯滚动的球的运动进行分析,给出球心及其边缘上任意一点在静止参考系中的运动轨迹方程,并绘出它们相应的轨迹,求出球在球形空腔内平衡位置附近作小振动的周期,并和球在可自由移动的球形空腔内作纯滑动的情况作了比较.The motion of a sphere＇ completely rolling in a freely moving sphere cavity on a smooth horizontal plane is investigated. The track equation of mass center of sphere and its any point on the edge of sphere in the inertial frame of reference are deduced, and their tracks are plotted. The period of tiny vibration of the sphere near the equilibrium position inside the sphere cavity is calculated, which is also compared with that of the sphere completely gliding inside a freely moving sphere cavity.

关 键 词：纯滚动 运动轨迹 周期 

分 类 号：O313.1[理学—一般力学与力学基础]