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阻力对惯性秤摆动幅度和周期的影响
引用本文:郑雪梅,;黄瑛,;彭莉,;杨建荣. 阻力对惯性秤摆动幅度和周期的影响[J]. 上饶师范学院学报, 2014, 0(6): 50-53
作者姓名:郑雪梅,  黄瑛,  彭莉,  杨建荣
作者单位:[1]上饶师范学院,江西上饶334001; [2]上饶县第二中学,江西上饶334001
基金项目:江西省级教改课题(编号:JXJG-13-16-4); 国家自然基金(NO:11365017,11465015); 江西省科技落地项目(NO:KJLD13086)
摘    要:为了解释惯性秤实验中,摆动幅度随时间的增长而明显减少的实验现象,推导了具有阻力作用的惯性秤摆动的动力学方程,得到了摆动幅度逐渐衰减的周期波解,分析讨论了阻力对振幅的衰减和对周期的增大作用。所得结果对提高学生认识惯性秤,观察分析实验现象,培养应用理论解决实际问题的能力,具有一定的意义。

关 键 词:惯性秤  阻力  幅度  周期

Effect about Resistance on Amplitude of Swing and Periodicity for Inertial Steelyard
Affiliation:ZHENG Xue-mei,HUANG Ying,PEN Li,YANG Jian-rong(Shangrao Normal University;Second Middle School of Shangrao County; Shangrao JiangXi334101,China)
Abstract:In order to illustrate the phenomena that the amplitude of swing decreases obviously with time in the experiment of inertial steelyard,the dynamic equation is derived for the oscillation with drag action. The period- wave solution that the amplitude of swing decreases gradually is obtained. The resistance action that leads to the attenuation of amplitude and increase of periodicity is analyzed. The results have certain value for students' understanding,analyzing and resolving this experiment.
Keywords:Inertia balance  resistance  amplitude  periodicity
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