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http://hdl.handle.net/2289/4508
Title: | Nonuniqueness in the solutions of Newton's equation of motion |
Authors: | Dhar, Abhishek |
Issue Date: | Jan-1993 |
Publisher: | American Association of Physics Teachers |
Citation: | American Journal of Physics, 1993, Vol.61, p58 |
Abstract: | In the case of singular forces, for which some of the higher derivatives do not exist at a given point, it is not generally true that Newton's equations of motion will give unique solutions for given initial conditions. In this paper, the motion of a particle in a one-dimensional conservative force field is considered. The necessary and sufficient conditions that ensure unique solutions are determined. |
Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4508 |
ISSN: | 0002-9505 |
Alternative Location: | http://adsabs.harvard.edu/abs/1993AmJPh..61...58D http://dx.doi.org/10.1119/1.17411 |
Copyright: | 1993 American Association of Physics Teachers |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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1993_AmJP_V61_p58.pdf Restricted Access | Restricted Access | 352.71 kB | Adobe PDF | View/Open Request a copy |
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