NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ909997
Record Type: Journal
Publication Date: 2004-Nov
Pages: 19
Abstractor: As Provided
Reference Count: 6
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.
Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A