Rotating saddle trap as Foucault's pendulum

被引:25
|
作者
Kirillov, Oleg N. [1 ]
Levi, Mark [2 ]
机构
[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
基金
美国国家科学基金会;
关键词
HANNAY ANGLE; STABILITY; EQUILIBRIUM; PARTICLE; GEOMETRY; SURFACE; PHYSICS; POINTS; FIELDS;
D O I
10.1119/1.4933206
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
One of the many surprising results found in the mechanics of rotating systems is the stabilization of a particle in a rapidly rotating planar saddle potential. Besides the counterintuitive stabilization, an unexpected precessional motion is observed. In this note, we show that this precession is due to a Coriolis- like force caused by the rotation of the potential. To our knowledge, this is the first example where such a force arises in an inertial reference frame. We also propose a simple mechanical demonstration of this effect. (C) 2016 American Association of Physics Teachers.
引用
收藏
页码:26 / 31
页数:6
相关论文
共 50 条
  • [41] A Foucault Pendulum Pilgrimage in Paris
    Olson, Don
    PHYSICS TEACHER, 2021, 59 (04): : 232 - 235
  • [42] DUAL FOUCAULT PENDULUM GYROSCOPE
    Senkal, D.
    Efimovskaya, A.
    Shkel, A. M.
    2015 TRANSDUCERS - 2015 18TH INTERNATIONAL CONFERENCE ON SOLID-STATE SENSORS, ACTUATORS AND MICROSYSTEMS (TRANSDUCERS), 2015, : 1219 - 1222
  • [43] Measuring the Motions of a Foucault Pendulum
    Hutson, Steve
    Petts, Simon
    Hudson, David
    IEEE INSTRUMENTATION & MEASUREMENT MAGAZINE, 2018, 21 (05) : 33 - 38
  • [44] FOUCAULT PENDULUM - ECO,U
    HADAS, R
    PARTISAN REVIEW, 1991, 58 (03): : 579 - 585
  • [45] GREAT FOUCAULT PENDULUM CAPER
    HYDE, WL
    APPLIED OPTICS, 1977, 16 (04): : 783 - 784
  • [46] Optical counterpart of a Foucault pendulum
    Okulov, A. Yu.
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2023, 40 (02) : 361 - 369
  • [47] A SHORT, MOVABLE FOUCAULT PENDULUM
    KRUGLAK, H
    PITTET, R
    STEELE, S
    SKY AND TELESCOPE, 1980, 60 (04): : 330 - 332
  • [48] FOUCAULT PENDULUM WALL CLOCK
    CRANE, HR
    AMERICAN JOURNAL OF PHYSICS, 1995, 63 (01) : 33 - 39
  • [49] FOUCAULT PENDULUM - ECO,U
    ZAMORA, LP
    SEMIOTICA, 1992, 91 (1-2) : 149 - 159
  • [50] IS THERE EVIDENCE FOR A NUCLEAR FOUCAULT PENDULUM
    HILTON, RR
    PHYSICAL REVIEW LETTERS, 1990, 65 (23) : 2850 - 2852