File:Prijsvraag no 12 opgelost door H.A. Lorentz - Contest problem solved by Lorentz - Nieuw Archief voor Wiskunde 1, 189-193 (1875).pdf
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Summary
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Nederlands: Kleinere mededelingen. Prijsvraag no 12 opgelost door H.A. Lorentz - Nieuw Archief voor Wiskunde 1: 189-193 (1875).
"Op een horizontaal vlak ligt een massieve rechte cirkelvormige cylinder. Zo nu het zwaartepunt van dien cylinder zich ergens buiten de as van het lichaam, en ook op eenig ogenblik niet verticaal onder die as bevindt, moet door de werking der zwaartekracht de cylinder eene rollend schommelende beweging aannemen. Bijaldien dan ondersteld wordt, dat deze schommelingen oneindig klein zijn, en dat er geen rollende wrijving bestaat, is de vraag is, den tijd te bepalen, waarin elke schommeling volbracht wordt."
English: Smaller communications. Contest question no 12 solved by H.A. Lorentz - Dutch magazine Nieuw Archief voor Wiskunde 1: 189-193 (1875) (translated title: New Archives for Mathematics 1:189-193 (1875).)
"On a horizontal plane lies a massive straight circular cylinder. If the center of gravity of that cylinder is somewhere off the axis of the body, and at any time not vertically below that axis, the action of gravity forces the cylinder to a rolling rocking motion. Furthermore when one assumes that these swings are infinitely small, and that there is no rolling friction, the question is to determine the time in which each swing is accomplished." |
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| Source | https://www.lorentz.leidenuniv.nl/IL-publications/Lorentz.html Scientific publications of H.A. Lorentz at www.lorentz.leidenuniv.nl | |||||||||||||||||||||||
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This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author's life plus 70 years or fewer. This work is in the public domain in the United States because it was published (or registered with the U.S. Copyright Office) before January 1, 1929. |
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| current | 11:36, 28 May 2022 |  | 2,125 × 3,512, 5 pages (830 KB) | Hansmuller | Uploaded a work by {{Creator:Hendrik Antoon Lorentz}} from https://www.lorentz.leidenuniv.nl/IL-publications/Lorentz.html Scientific publications of H.A. Lorentz at www.lorentz.leidenuniv.nl with UploadWizard |
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