Video analysis of rolling cylinders

In this work, we studied the rolling motion of solid and hollow cylinders down an inclined plane at different angles. The motions were captured on video at 300 framess -1 , and the videos were analyzed frame by frame using video analysis software. Data from the real motion were compared with the th...

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Main Authors: Phommarach S., Wattanakasiwich P., Johnston I.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84857516627&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42877
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-428772017-09-28T06:41:35Z Video analysis of rolling cylinders Phommarach S. Wattanakasiwich P. Johnston I. In this work, we studied the rolling motion of solid and hollow cylinders down an inclined plane at different angles. The motions were captured on video at 300 framess -1 , and the videos were analyzed frame by frame using video analysis software. Data from the real motion were compared with the theory of rolling down an inclined plane without slipping. From the experiment, the acceleration does not depend on the cylinder mass as indicated from the theory. For the wood-steel surface, we found that the coefficient of static friction was equal to 0.131 and the critical angle for the solid cylinder was 21.45°. The critical angle for the hollow cylinder depends on the inner and outer radius of the cylinder. Motion paths of a point on the hollow cylinder at small and large angles were shown to elucidate the pure rolling condition. Finally, we demonstrated that total mechanical energy was conserved during the pure rolling motion. This confirms that work done by the friction force is zero. We will use these results to design an interactive lecture demonstration on rolling without slipping. © 2012 IOP Publishing Ltd. 2017-09-28T06:41:35Z 2017-09-28T06:41:35Z 2012-03-01 Journal 00319120 2-s2.0-84857516627 10.1088/0031-9120/47/2/189 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84857516627&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42877
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description In this work, we studied the rolling motion of solid and hollow cylinders down an inclined plane at different angles. The motions were captured on video at 300 framess -1 , and the videos were analyzed frame by frame using video analysis software. Data from the real motion were compared with the theory of rolling down an inclined plane without slipping. From the experiment, the acceleration does not depend on the cylinder mass as indicated from the theory. For the wood-steel surface, we found that the coefficient of static friction was equal to 0.131 and the critical angle for the solid cylinder was 21.45°. The critical angle for the hollow cylinder depends on the inner and outer radius of the cylinder. Motion paths of a point on the hollow cylinder at small and large angles were shown to elucidate the pure rolling condition. Finally, we demonstrated that total mechanical energy was conserved during the pure rolling motion. This confirms that work done by the friction force is zero. We will use these results to design an interactive lecture demonstration on rolling without slipping. © 2012 IOP Publishing Ltd.
format Journal
author Phommarach S.
Wattanakasiwich P.
Johnston I.
spellingShingle Phommarach S.
Wattanakasiwich P.
Johnston I.
Video analysis of rolling cylinders
author_facet Phommarach S.
Wattanakasiwich P.
Johnston I.
author_sort Phommarach S.
title Video analysis of rolling cylinders
title_short Video analysis of rolling cylinders
title_full Video analysis of rolling cylinders
title_fullStr Video analysis of rolling cylinders
title_full_unstemmed Video analysis of rolling cylinders
title_sort video analysis of rolling cylinders
publishDate 2017
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84857516627&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42877
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