Rolling/Slipping Motion of Euler's Disk
We present an experimental study of the motion of a circular disk spun onto a table. With the help of a high speed video system, the temporal evolutions of (i) the inclination angle $\alpha$, (ii) the angular velocity $\omega$ and (iii) the precession rate $\Omega$ are studied. The influence of the...
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| creator | Caps, H Dorbolo, S Ponte, S Croisier, H Vandewalle, N |
| description | We present an experimental study of the motion of a circular disk spun onto a
table. With the help of a high speed video system, the temporal evolutions of
(i) the inclination angle $\alpha$, (ii) the angular velocity $\omega$ and
(iii) the precession rate $\Omega$ are studied. The influence of the mass of
the disk and the friction between the disk and the supporting surface are
considered. %The motions of disks with different masses and over different
surfaces are studied. The inclination angle $\alpha$ and the angular velocity
are observed to decrease according to a power law. We also show that the
precession rate $\Omega$ diverges as the disk stops. Exponents are measured
very near the collapse as well as on long range times. Collapsing times have
been also measured. The results are compared with previous theoretical and
experimental works. The major source of energy dissipation is found to be the
slipping of the disk on the plane. |
| doi_str_mv | 10.48550/arxiv.cond-mat/0401278 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_cond_mat_0401278</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>cond_mat_0401278</sourcerecordid><originalsourceid>FETCH-arxiv_primary_cond_mat_04012783</originalsourceid><addsrcrecordid>eNpjYJA3NNAzsTA1NdBPLKrILNNLzs9L0c1NLNE3MDEwNDK34GRQD8rPycnMS9cPzsksKAAyFHzzSzLz8xTy0xRcS3NSi9SLFVwyi7N5GFjTEnOKU3mhNDeDqptriLOHLtjg-IKizNzEosp4kAXxQAvioRYYE6sOAG7rNWY</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Rolling/Slipping Motion of Euler's Disk</title><source>arXiv.org</source><creator>Caps, H ; Dorbolo, S ; Ponte, S ; Croisier, H ; Vandewalle, N</creator><creatorcontrib>Caps, H ; Dorbolo, S ; Ponte, S ; Croisier, H ; Vandewalle, N</creatorcontrib><description>We present an experimental study of the motion of a circular disk spun onto a
table. With the help of a high speed video system, the temporal evolutions of
(i) the inclination angle $\alpha$, (ii) the angular velocity $\omega$ and
(iii) the precession rate $\Omega$ are studied. The influence of the mass of
the disk and the friction between the disk and the supporting surface are
considered. %The motions of disks with different masses and over different
surfaces are studied. The inclination angle $\alpha$ and the angular velocity
are observed to decrease according to a power law. We also show that the
precession rate $\Omega$ diverges as the disk stops. Exponents are measured
very near the collapse as well as on long range times. Collapsing times have
been also measured. The results are compared with previous theoretical and
experimental works. The major source of energy dissipation is found to be the
slipping of the disk on the plane.</description><identifier>DOI: 10.48550/arxiv.cond-mat/0401278</identifier><language>eng</language><subject>Physics - Soft Condensed Matter ; Physics - Statistical Mechanics</subject><creationdate>2004-01</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0401278$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1103/PhysRevE.69.056610$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0401278$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Caps, H</creatorcontrib><creatorcontrib>Dorbolo, S</creatorcontrib><creatorcontrib>Ponte, S</creatorcontrib><creatorcontrib>Croisier, H</creatorcontrib><creatorcontrib>Vandewalle, N</creatorcontrib><title>Rolling/Slipping Motion of Euler's Disk</title><description>We present an experimental study of the motion of a circular disk spun onto a
table. With the help of a high speed video system, the temporal evolutions of
(i) the inclination angle $\alpha$, (ii) the angular velocity $\omega$ and
(iii) the precession rate $\Omega$ are studied. The influence of the mass of
the disk and the friction between the disk and the supporting surface are
considered. %The motions of disks with different masses and over different
surfaces are studied. The inclination angle $\alpha$ and the angular velocity
are observed to decrease according to a power law. We also show that the
precession rate $\Omega$ diverges as the disk stops. Exponents are measured
very near the collapse as well as on long range times. Collapsing times have
been also measured. The results are compared with previous theoretical and
experimental works. The major source of energy dissipation is found to be the
slipping of the disk on the plane.</description><subject>Physics - Soft Condensed Matter</subject><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA3NNAzsTA1NdBPLKrILNNLzs9L0c1NLNE3MDEwNDK34GRQD8rPycnMS9cPzsksKAAyFHzzSzLz8xTy0xRcS3NSi9SLFVwyi7N5GFjTEnOKU3mhNDeDqptriLOHLtjg-IKizNzEosp4kAXxQAvioRYYE6sOAG7rNWY</recordid><startdate>20040116</startdate><enddate>20040116</enddate><creator>Caps, H</creator><creator>Dorbolo, S</creator><creator>Ponte, S</creator><creator>Croisier, H</creator><creator>Vandewalle, N</creator><scope>GOX</scope></search><sort><creationdate>20040116</creationdate><title>Rolling/Slipping Motion of Euler's Disk</title><author>Caps, H ; Dorbolo, S ; Ponte, S ; Croisier, H ; Vandewalle, N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_04012783</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Physics - Soft Condensed Matter</topic><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Caps, H</creatorcontrib><creatorcontrib>Dorbolo, S</creatorcontrib><creatorcontrib>Ponte, S</creatorcontrib><creatorcontrib>Croisier, H</creatorcontrib><creatorcontrib>Vandewalle, N</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Caps, H</au><au>Dorbolo, S</au><au>Ponte, S</au><au>Croisier, H</au><au>Vandewalle, N</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rolling/Slipping Motion of Euler's Disk</atitle><date>2004-01-16</date><risdate>2004</risdate><abstract>We present an experimental study of the motion of a circular disk spun onto a
table. With the help of a high speed video system, the temporal evolutions of
(i) the inclination angle $\alpha$, (ii) the angular velocity $\omega$ and
(iii) the precession rate $\Omega$ are studied. The influence of the mass of
the disk and the friction between the disk and the supporting surface are
considered. %The motions of disks with different masses and over different
surfaces are studied. The inclination angle $\alpha$ and the angular velocity
are observed to decrease according to a power law. We also show that the
precession rate $\Omega$ diverges as the disk stops. Exponents are measured
very near the collapse as well as on long range times. Collapsing times have
been also measured. The results are compared with previous theoretical and
experimental works. The major source of energy dissipation is found to be the
slipping of the disk on the plane.</abstract><doi>10.48550/arxiv.cond-mat/0401278</doi><oa>free_for_read</oa></addata></record> |
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| recordid | cdi_arxiv_primary_cond_mat_0401278 |
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| subjects | Physics - Soft Condensed Matter Physics - Statistical Mechanics |
| title | Rolling/Slipping Motion of Euler's Disk |
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