The investigation of a physical pendulum motion, which move along a horizontal axis
The article presents a study of the physical pendulum, taking into account the force of friction in the kinematic pair, as a result of which oscillations are damped. Graphs of the dependence of the pendulum deflection angle α and the angular velocity on time for different values of the velocity v h...
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academician Ye.A. Buketov Karaganda University
2022-06-01
|
| Series: | Қарағанды университетінің хабаршысы. Физика сериясы |
| Subjects: | |
| Online Access: | https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/454 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850201555773423616 |
|---|---|
| author | О. Ляшук Л. Серилко И. Гевко Д. Серилко И. Луцив Ю. Вовк М. Левковыч О. Цонь |
| author_facet | О. Ляшук Л. Серилко И. Гевко Д. Серилко И. Луцив Ю. Вовк М. Левковыч О. Цонь |
| author_sort | О. Ляшук |
| collection | DOAJ |
| description |
The article presents a study of the physical pendulum, taking into account the force of friction in the kinematic pair, as a result of which oscillations are damped. Graphs of the dependence of the pendulum deflection angle α and the angular velocity on time for different values of the velocity v have been given. It has been established that the speed of the sleeve significantly reduces the amplitude and angular velocity of the pendulum, and the frequency of its oscillations does not depend on the presence of dry friction in the system. The dependences of the change in the amplitude of pendulum oscillations have been given and the results of numerical integration of the differential equation of pendulum motion have been obtained. The graphical dependences of the pendulum deflection angle and the movement of the sleeve x along the horizontal axis from time to time have been obtained at different values of the coefficient of friction. It has been found that during the first five seconds of the system movement, the axial speed of the sleeve is practically independent of the coefficient of friction (at f = 0.3… 0.5). To verify the obtained results, an experimental laboratory installation has been designed and manufactured. Theoretical studies are satisfactorily consistent with experimental data, with an error not exceeding 16%. The obtained dependencies can be used in the design and study of various mechanisms, the motion of which is described by similar differential equations. Such mechanisms include inertial conveyors, the gutter of which performs in addition to longitudinal and transverse oscillations. In addition, the proposed technique can be used in the study of the motion of bulk materials in an inclined cylinder, which performs torsional oscillations around the axis of symmetry.
|
| format | Article |
| id | doaj-art-707d0983d13e4bdf87241a352117c4ea |
| institution | OA Journals |
| issn | 2518-7198 2663-5089 |
| language | English |
| publishDate | 2022-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Физика сериясы |
| spelling | doaj-art-707d0983d13e4bdf87241a352117c4ea2025-08-20T02:11:58ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Физика сериясы2518-71982663-50892022-06-01106210.31489/2022ph2/75-85The investigation of a physical pendulum motion, which move along a horizontal axis О. ЛяшукЛ. СерилкоИ. ГевкоД. СерилкоИ. ЛуцивЮ. ВовкМ. ЛевковычО. Цонь The article presents a study of the physical pendulum, taking into account the force of friction in the kinematic pair, as a result of which oscillations are damped. Graphs of the dependence of the pendulum deflection angle α and the angular velocity on time for different values of the velocity v have been given. It has been established that the speed of the sleeve significantly reduces the amplitude and angular velocity of the pendulum, and the frequency of its oscillations does not depend on the presence of dry friction in the system. The dependences of the change in the amplitude of pendulum oscillations have been given and the results of numerical integration of the differential equation of pendulum motion have been obtained. The graphical dependences of the pendulum deflection angle and the movement of the sleeve x along the horizontal axis from time to time have been obtained at different values of the coefficient of friction. It has been found that during the first five seconds of the system movement, the axial speed of the sleeve is practically independent of the coefficient of friction (at f = 0.3… 0.5). To verify the obtained results, an experimental laboratory installation has been designed and manufactured. Theoretical studies are satisfactorily consistent with experimental data, with an error not exceeding 16%. The obtained dependencies can be used in the design and study of various mechanisms, the motion of which is described by similar differential equations. Such mechanisms include inertial conveyors, the gutter of which performs in addition to longitudinal and transverse oscillations. In addition, the proposed technique can be used in the study of the motion of bulk materials in an inclined cylinder, which performs torsional oscillations around the axis of symmetry. https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/454physical pendulumoscillationsspeedamplitudeamplitudeexperimental laboratory installation |
| spellingShingle | О. Ляшук Л. Серилко И. Гевко Д. Серилко И. Луцив Ю. Вовк М. Левковыч О. Цонь The investigation of a physical pendulum motion, which move along a horizontal axis Қарағанды университетінің хабаршысы. Физика сериясы physical pendulum oscillations speed amplitude amplitudeexperimental laboratory installation |
| title | The investigation of a physical pendulum motion, which move along a horizontal axis |
| title_full | The investigation of a physical pendulum motion, which move along a horizontal axis |
| title_fullStr | The investigation of a physical pendulum motion, which move along a horizontal axis |
| title_full_unstemmed | The investigation of a physical pendulum motion, which move along a horizontal axis |
| title_short | The investigation of a physical pendulum motion, which move along a horizontal axis |
| title_sort | investigation of a physical pendulum motion which move along a horizontal axis |
| topic | physical pendulum oscillations speed amplitude amplitudeexperimental laboratory installation |
| url | https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/454 |
| work_keys_str_mv | AT olâšuk theinvestigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT lserilko theinvestigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT igevko theinvestigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT dserilko theinvestigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT iluciv theinvestigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT ûvovk theinvestigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT mlevkovyč theinvestigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT oconʹ theinvestigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT olâšuk investigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT lserilko investigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT igevko investigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT dserilko investigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT iluciv investigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT ûvovk investigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT mlevkovyč investigationofaphysicalpendulummotionwhichmovealongahorizontalaxis AT oconʹ investigationofaphysicalpendulummotionwhichmovealongahorizontalaxis |