An asymmetrical double torsion pendulum for studying coupled harmonic motion

Autor:	Mingzhen Shao, Huan Zhang, Xintong Duan, Cailin Wang, Yuntian Wang
Rok vydání:	2020
Předmět:	Physics media_common.quotation_subject Acoustics Molecular vibration Torsion pendulum clock General Physics and Astronomy Torque Mechanical similarity Moment of inertia Simple harmonic motion Inertia Horizontal plane media_common
Zdroj:	American Journal of Physics. 88:760-768
ISSN:	1943-2909 0002-9505
DOI:	10.1119/10.0001613
Popis:	In this study, a simple asymmetrical double torsion pendulum is built and operated to study coupled harmonic motion. The setup, which consists of two circular inertia members suspended horizontally at different locations on a vertical guitar wire, has a close mechanical similarity to a wall-spring-mass-spring-mass system. The restoring torque of the twisted guitar wire drives the two inertia members to rotate in the horizontal plane. A smartphone and target-tracking software are used to measure the normal frequencies, which are found to reside in two different frequency bands separated by an obvious frequency gap. The described setup has several pedagogical advantages, including easy accessibility, good accuracy, and continuous tunability, and is thus an effective means for engaging students with topics such as mechanical similarity, moment of inertia, torque constant, normal frequency, and target tracking. Teachers can also use the setup as a simple classical analogy to interpret the mechanical shift of the vibrational frequency of a diatomic molecule adsorbed on a sample surface.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e7ea6d49181d935a69a8ab8f84ddb878 https://doi.org/10.1119/10.0001613 Zobrazit plný text záznamu