利用手机传感器测定刚体的惯性张量
收稿日期: 2021-02-17
修回日期: 2021-03-30
网络出版日期: 2021-11-15
Measurement of rigid body inertia tensor using gyroscope sensor on a mobile phone
Received date: 2021-02-17
Revised date: 2021-03-30
Online published: 2021-11-15
楼晨煊, 周婧琳, 郑雪瑶, 刘珂溦, 罗丹楠, 白在桥 . 利用手机传感器测定刚体的惯性张量[J]. 大学物理, 2021 , 40(11) : 48 . DOI: 10.16854 / j.cnki.1000-0712.210079
falling mo- bile phone is recorded. Then,up to a scale constant,the inertia tensor of the
phone is determined based on the conservation of orbital angular momentum and kinetic energy
in the center-of-mass reference frame. Depending on whether vanishing off-diagonal elements is or
not assumed,two algorithms are proposed to calculate the inertia ten- sor. The results are
confirmed by substituting it into the Euler equation for recoded trajectories.
Key words: rotation inertia; phyphox; gyroscope; euler equation
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