基于Phyphox App利用手机磁传感器研究耦合摆  

Research on Coupled Pendulum Using Smartphone Magnetic Sensor Based on Phyphox App

作　　者：贺丰源 周桐 王锦辉 HE Fengyuan;ZHOU Tong;WANG Jinhui(College of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学物理与天文学院,上海200240

出　　处：《大学物理实验》2022年第4期95-99,共5页Physical Experiment of College

基　　金：上海交通大学2020年教育教学研究项目(JYJX200110);教育部产学合作协同育人项目(202102227013)。

摘　　要：基于Phyphox手机App,利用智能手机搭建了耦合摆实验装置。通过测量磁感应强度的变化从而间接测量摆的振幅的方法,研究耦合摆同相,反相运动与耦合强度,耦合点与旋转点距离等因素的关系;还对耦合摆简正振动的拍现象进行了分析。结果表明同相位摆动时,摆动周期与耦合点位置基本无关,反相位摆动时,摆动周期倒数平方与耦合点距离平方成线性关系。在简正振动条件下,可以非常清晰地观察到能量在两摆之间的转移。另外实验测得的拍周期与理论值相对误差为7.9%。Based on Phyphox App,it uses smart phone to build an experimental device for coupled pendulum.By measuring the change of magnetic induction intensity to indirectly measure the amplitude of the pendulum,the in-phase and anti-phase motion of the coupled pendulum and the coupled strength,the distance between the coupled point and the rotating point are investigated.The beat phenomenon of normal vibration of coupled pendulum is also studied.The results show that in the case of in-phase oscillation,the oscillation period has little relation with the position of the coupled point,while in the case of anti-phase oscillation,the inverse square of the oscillation period has a linear relation with the square of the distance between the coupled point and the inverse square.The transfer of energy between two pendulums can be seen very clearly under the condition of normal vibration.In addition,the relative error between the measured beating period and the theoretical value is 7.9%.

关 键 词：耦合摆 Phyphox App 智能手机 磁偶极子 “拍”现象 

分 类 号：G633.7[文化科学—教育学]