Universität zu Köln

Ansmann, Gerrit ORCID: 0000-0002-5472-7067 (2021). An impulse to the ground to end rolling with slipping. Eur. J. Phys., 42 (6). BRISTOL: IOP PUBLISHING LTD. ISSN 1361-6404

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Abstract

Several scenarios used to teach mechanics feature a rolling motion with slipping that transitions to one without slipping through friction with the ground. We present a compact approach for determining the final velocity in these scenarios: we summarise the transition by introducing an impulse that is transferred to the ground and account for it in the conservation of angular and linear momentum. In contrast to common approaches, we do not require any assumptions on the friction. Our approach thus serves to illustrate how using conservation laws and collisions allows to simplify problems by summarising complex interactions. We exemplify our approach with three scenarios: a sliding ball starting to roll, a turning wheel being released onto the ground, and a braking monowheel.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Ansmann, Gerrit UNSPECIFIED orcid.org/0000-0002-5472-7067 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-567482
DOI:	10.1088/1361-6404/ac247a
Journal or Publication Title:	Eur. J. Phys.
Volume:	42
Number:	6
Date:	2021
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1361-6404
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Education, Scientific Disciplines; Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/56748