Journal Title

American Journal of Physics

Publication Date

1-2003

Abstract

We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier analysis or using expensive apparatus. The method consists of applying a frequency dependent force to the system and using the resonance to excite each mode separately. The frequency of the excited mode is determined by measuring the resonance frequency of the system. We found that the measurednormal mode frequencies of coupled oscillators exhibiting two and three normal modes are in very good agreement with the theoretical estimates. The method is suitable for undergraduate students with an elementary knowledge of differential equations.

Subjects

Oscillators, Electric

Publication Information

© 2003 American Association of Physics Teachers

American Journal of Physics is copyrighted. Individual articles in American Journal of Physics are copyrighted by the society, as indicated on each article.

Individual articles may be downloaded for personal use; users are forbidden to reproduce, republish, redistribute, or resell any materials from this journal in either machine-readable form or any other form without permission of the society or payment of the appropriate royalty for reuse.

Contact rights@aip.org

DOI

10.1119/1.1519230

Peer-Reviewed

Yes

Document Type

Journal Article

Included in

Physics Commons

Share

COinS