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ERIC Number: EJ909997
Record Type: Journal
Publication Date: 2004-Nov
Pages: 19
Abstractor: As Provided
Reference Count: 6
ISBN: N/A
ISSN: ISSN-0926-7220
Introduction to the Treatment of Non-Linear Effects Using a Gravitational Pendulum
Weltner, Klaus; Esperidiao, Antonio Sergio C.; Miranda, Paulo
Science & Education, v13 n7-8 p611-629 Nov 2004
We show that the treatment of pendulum movement, other than the linear approximation,may be an instructive experimentally based introduction to the physics of non-linear effects. Firstly the natural frequency of a gravitational pendulum is measured as function of its amplitude. Secondly forced oscillations of a gravitational pendulum are investigated experimentally without limiting amplitudes. By this arrangement new phenomena, the bistability and the jump-effect, can be observed. In the case of bistability the driven gravitational pendulum can oscillate in two different stable modes. Either it oscillates with a small amplitude and approximately in phase with the exciting torque or it oscillates with a larger amplitude and approximately anti-phase. The jump effect is the spontaneous transition from one mode of oscillation to the other. Both effects can be demonstrated and explained.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A