CENTRIPETAL AND/OR CENTRIFUGAL

Authors

  • Prof. Ing. M. Okrouhlik CSc Institute of Thermomechanics, Dolejskova 5 182 00 Prague the Czech Republ

DOI:

https://doi.org/10.53555/ephijer.v2i2.24

Abstract

The author considers at length the array of contradictory answers provided by university students when examined on the rotation of rigid bodies in classical mechanics during their undergraduate courses. The rotation of a body can be explained simply both in terms of kinematics and dynamics, yet this is often complicated by the various definitions formulated by different authors.

As a result some students are uncertain whether a person sitting on a merry-go-round is acted on by centripetal or centrifugal force; some students even consider that centrifugal acceleration (which is actually non-existent) is the reason for the existence of centrifugal force. 

 The author intends to show that the students’ misunderstanding arises from two different sources: in the available literature, different forces are called by the same terms and, secondly, different terms are used to name identical forces. This Babylonian confusion of tongues has a long tradition, stretching back to Newton’s Principia.

 This paper tries to distinguish and compare different definitions, formulations and

Terminology related to the rotation of rigid bodies. By discussing a few worked-out examples in detail the author hopes that any existing misunderstandings might be clarified.

References

. Truesdel, C. and Toupin. R.: The classical and field theories. Encyclopedia of Physics, Springer, Berlin, 1960.

. Lanczos, C.: The variational principles of mechanics. Dover Publications, New York, 1970, ISBN 13-978-0-468-65067-8.

. Feynman, R.: The Feynman Lectures on Physics, en.wikipedia.org/wiki/The_Feynman_Lectures_on_Physics.

. Philosophiae Naturalis Principia Mathematica by Sir Isaac Newton. Latin text.

. Sir Isaac Newton. Philosophiae Naturalis Principia Mathematica as translated by Andrew Motte, 1728.

. Dare A. Wells: Theory and Problems of Lagrangian Mechanics, Schaum Publishing Company, New York, 1967.

. Guicciardini, N.: Reading the Principia, Cambridge, University Press, 1999, ISBN-13 9780-521-54403-0.

. Pratap, R. and Ruina, A.: Statics and dynamics, Oxford University Press, 2001.

. Kane, T.R.: Dynamics. Holt, Rinehart and Winston, Inc., New York, 1968.

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Published

2020-08-27