摘要
通过对物理摆周期的计算,得出可倒摆为物理摆的特例.对不同密度的加锤摆进行理论分析,得到只要摆锤的几何尺寸相同(回转半径相同),则沿摆杆移动的摆锤一定有两个等周期且与摆锤质量无关的周期不变点,并推导出周期不变点的位置公式.所推导的公式为精确测量重力加速度等物理量提供了理论支撑.用自制仪器所测得的实验结果与理论结果进行比较,周期误差小于0.7%.
By calculated the period of physical pendulum detailedly, the conclusion is educed that the reconcilable pendulum is only a special physical pendulum. By analysised the different density of pendulum hammers, to same geometry size （same radius of gyration）, there are two same period points which independent with hammer＇s mass when the weight slip along pendulum staff. The invariability point formula is educed also. The above-mentioned formulas can provide theoretical support for precise measurement acceleration of gravity and the other physics parameter. Comparing the theory result with the home-made experiment, the relative error of period is less than 0.7 %.
出处
《西安工程大学学报》
CAS
2008年第2期214-219,共6页
Journal of Xi’an Polytechnic University
基金
陕西省教教育厅专项基金资助项目(05JK197
07JK346)
陕西省自然科学基金资助项目(2006A08)
西安理工大学创新基金(108-210720)
西安理工大学博士启动基金
关键词
物理摆
周期
可调摆锤
回转半径
重力加速度
physical pendulum
period
reconcilable pendulum
radius of gyration
acceleration of gravity
