{"id":1108,"date":"2011-12-02T14:55:00","date_gmt":"2011-12-02T17:55:00","guid":{"rendered":"http:\/\/scienceblogs.com.br\/hypercubic\/2011\/12\/rodando-e-rodando\/"},"modified":"2011-12-02T14:55:00","modified_gmt":"2011-12-02T17:55:00","slug":"rodando-e-rodando","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/hypercubic\/2011\/12\/rodando-e-rodando\/","title":{"rendered":"&gt;Rodando e rodando!"},"content":{"rendered":"<p>&gt;<\/p>\n<div class=\"separator\" style=\"clear: both;text-align: center\"><a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2012\/11\/rodando.png\" data-rel=\"lightbox-image-0\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img fetchpriority=\"high\" decoding=\"async\" border=\"0\" height=\"320\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2011\/12\/rodando1.png\" width=\"319\" \/><\/a><\/div>\n<div style=\"text-align: justify\">Suponha que tenhamos um c\u00edrculo pequeno rolando no interior de um c\u00edrculo maior, com o dobro do di\u00e2metro do menor, conforme a ilustra\u00e7\u00e3o acima. Se seguirmos a trajet\u00f3ria descrita por um ponto do c\u00edrculo menor, qual &nbsp;entidade geom\u00e9trica ser\u00e1 desenhada?<\/div>\n<div style=\"text-align: justify\"><\/div>\n<div style=\"text-align: justify\">N\u00e3o seja pregui\u00e7oso! Tente resolver o problema antes de ver a resposta a seguir.&nbsp;Dica: esse problema teve uma aplica\u00e7\u00e3o pr\u00e1tica que revolucionou o s\u00e9culo XIX.<\/div>\n<div style=\"text-align: justify\"><\/div>\n<p><a name='more'><\/a><\/p>\n<div style=\"text-align: justify\">Surpresa! A trajet\u00f3ria formada por um ponto do c\u00edrculo menor \u00e0 medida que ele gira no interior do maior \u00e9 <i>uma linha reta<\/i>!<\/div>\n<div class=\"separator\" style=\"clear: both;text-align: center\"><a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2011\/12\/rodando.gif\" data-rel=\"lightbox-image-1\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img decoding=\"async\" border=\"0\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2011\/12\/rodando.gif\" \/><\/a><\/div>\n<div style=\"text-align: justify\"><\/div>\n<div style=\"text-align: justify\">Este princ\u00edpio \u00e9 o ancestral geom\u00e9trico das ferrovias! Rival de James Watt, o inventor ingl\u00eas Matthew Murray (1765-1826) usou esse princ\u00edpio em 1802 pra criar um \u201cmotor hipocicloidal\u201d no qual um pist\u00e3o a vapor move uma roda, gerando uma pot\u00eancia de cerca de 5HP.&nbsp;<\/div>\n<div style=\"text-align: justify\"><\/div>\n<table align=\"center\" cellpadding=\"0\" cellspacing=\"0\" class=\"tr-caption-container\" style=\"margin-left: auto;margin-right: auto;text-align: right\">\n<tbody>\n<tr>\n<td style=\"text-align: center\"><a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2011\/12\/hipocicloidal.jpg\" data-rel=\"lightbox-image-2\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img decoding=\"async\" border=\"0\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2011\/12\/hipocicloidal.jpg\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td class=\"tr-caption\" style=\"text-align: center\">Motor hipocicloidal (modelo).<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"text-align: justify\">Uma d\u00e9cada mais tarde, ele fabricou o motor de pist\u00e3o duplo usado na <i>Salamanca<\/i>, a primeira locomotiva comercialmente vi\u00e1vel. Infelizmente, os dois exemplares da locomotiva de Murray explodiram, matando seus maquinistas e alguns observadores.&nbsp;<\/div>\n<table align=\"center\" cellpadding=\"0\" cellspacing=\"0\" class=\"tr-caption-container\" style=\"margin-left: auto;margin-right: auto;text-align: center\">\n<tbody>\n<tr>\n<td style=\"text-align: center\"><a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2012\/11\/salamanca+%25281812%2529.jpg\" data-rel=\"lightbox-image-3\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img decoding=\"async\" border=\"0\" height=\"344\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2011\/12\/salamanca+%25281812%2529.jpg\" width=\"400\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td class=\"tr-caption\" style=\"text-align: center\"><i>Salamanca <\/i>(1812)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"text-align: justify\"><\/div>\n<div style=\"text-align: justify\">Ap\u00f3s o fracasso no ramo ferrovi\u00e1rio, Murray decidiu voltar-se para a motoriza\u00e7\u00e3o naval. Teve sucesso, ainda que de uma maneira bastante torta: seus projetos foram patenteados como se fossem cria\u00e7\u00e3o pr\u00f3pria por Francis B. Odgen, um cliente norte-americano. Ironicamente, a patente de Odgen tamb\u00e9m acabou sendo pirateada. Na pr\u00e1tica, os motores de Murray foram os primeiros a ser usados nos cl\u00e1ssicos vapores com roda de p\u00e1 do rio Mississipi.&nbsp;<\/div>\n<div class=\"separator\" style=\"clear: both;text-align: center\"><a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2012\/11\/Paddleboat_Natchez.jpg\" data-rel=\"lightbox-image-4\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img decoding=\"async\" border=\"0\" height=\"127\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2011\/12\/Paddleboat_Natchez.jpg\" width=\"400\" \/><\/a><\/div>\n<div style=\"text-align: justify\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>&gt; Suponha que tenhamos um c\u00edrculo pequeno rolando no interior de um c\u00edrculo maior, com o dobro do di\u00e2metro do menor, conforme a ilustra\u00e7\u00e3o acima. Se seguirmos a trajet\u00f3ria descrita por um ponto do c\u00edrculo menor, qual &nbsp;entidade geom\u00e9trica ser\u00e1 desenhada? N\u00e3o seja pregui\u00e7oso! Tente resolver o problema antes de ver a resposta a seguir.&nbsp;Dica: [&hellip;]<\/p>\n","protected":false},"author":486,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"material-hide-sections":[],"pgc_sgb_lightbox_settings":"","_vp_format_video_url":"","_vp_image_focal_point":[],"footnotes":""},"categories":[96,151,160,206,278],"tags":[],"class_list":["post-1108","post","type-post","status-publish","format-standard","hentry","category-engenharia","category-geometria","category-historia","category-mecanica","category-quizz"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>&gt;Rodando e rodando! - hypercubic<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.blogs.unicamp.br\/hypercubic\/2011\/12\/rodando-e-rodando\/\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Renato Pincelli\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/12\\\/rodando-e-rodando\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/12\\\/rodando-e-rodando\\\/\"},\"author\":{\"name\":\"Renato Pincelli\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#\\\/schema\\\/person\\\/c7be1e2811d061a75d3b4f4960eb53bd\"},\"headline\":\"&gt;Rodando e rodando!\",\"datePublished\":\"2011-12-02T17:55:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/12\\\/rodando-e-rodando\\\/\"},\"wordCount\":277,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/12\\\/rodando-e-rodando\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/scienceblogs.com.br\\\/hypercubic\\\/files\\\/2011\\\/12\\\/rodando1.png\",\"articleSection\":[\"engenharia\",\"geometria\",\"hist\u00f3ria\",\"mec\u00e2nica\",\"quizz\"],\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/12\\\/rodando-e-rodando\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/12\\\/rodando-e-rodando\\\/\",\"url\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/12\\\/rodando-e-rodando\\\/\",\"name\":\"&gt;Rodando e rodando! 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