{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T20:14:40Z","timestamp":1783455280492,"version":"3.55.0"},"reference-count":1,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["ONR N00014-18- 1-2490"],"award-info":[{"award-number":["ONR N00014-18- 1-2490"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["N00014-23-1-2478"],"award-info":[{"award-number":["N00014-23-1-2478"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1910824"],"award-info":[{"award-number":["DMS-1910824"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2308063"],"award-info":[{"award-number":["DMS-2308063"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2026,6,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>The application of the motion of a vertically suspended mass-spring system released under tension is studied, focusing upon the delay timescale for the bottom mass fall as a function of the spring constants and masses. This \u201chang-time,\u201d reminiscent of the Coyote and Road Runner cartoons, is quantified using the far field asymptotic expansion of the bottom mass\u2019s Laplace transform. These asymptotics are connected to the short time mass dynamics through Tauberian identities and explicit residue calculations. It is shown, perhaps paradoxically, that this delay timescale is maximized in the large mass limit of the top \u201cboulder.\u201d Experiments are presented and compared with the theoretical predictions. This system is an exciting example for the teaching of mass-spring dynamics in classes on ordinary differential equations and does not require any normal mode calculations for these predictions.<\/jats:p>","DOI":"10.1137\/23m157377x","type":"journal-article","created":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T16:51:11Z","timestamp":1778777471000},"page":"407-422","source":"Crossref","is-referenced-by-count":0,"title":["Tauberian Identities and Suspended Falls: A Wile E. Coyote Time Lag in the Fall of Stretched Elastic Bodies"],"prefix":"10.1137","volume":"68","author":[{"given":"Roberto","family":"Camassa","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Richard M.","family":"McLaughlin","sequence":"additional","affiliation":[{"name":"Corresponding author. Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2026,5,13]]},"reference":[{"key":"ref1","volume-title":"Elementary Differential Equations","author":"Boyce W. E.","year":"2021","edition":"12"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T19:31:32Z","timestamp":1783452692000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M157377X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,5,13]]},"references-count":1,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,6,30]]}},"alternative-id":["10.1137\/23M157377X"],"URL":"https:\/\/doi.org\/10.1137\/23m157377x","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,5,13]]}}}