{"id":327,"date":"2023-06-21T14:48:17","date_gmt":"2023-06-21T14:48:17","guid":{"rendered":"https:\/\/physigeek.com\/pt\/maquina-de-canto-simples\/"},"modified":"2023-06-21T14:48:17","modified_gmt":"2023-06-21T14:48:17","slug":"maquina-de-canto-simples","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/maquina-de-canto-simples\/","title":{"rendered":"Cunha (m\u00e1quina \u00fanica)"},"content":{"rendered":"<p>Este artigo explica o que s\u00e3o cunhas (m\u00e1quinas simples). Assim, voc\u00ea descobrir\u00e1 em que consiste uma cunha quando se trata de uma m\u00e1quina simples, sua f\u00f3rmula e suas aplica\u00e7\u00f5es. Al\u00e9m disso, voc\u00ea pode praticar com um problema resolvido passo a passo. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-cuna-maquina-simple\"><\/span> O que \u00e9 uma cunha (m\u00e1quina simples)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma <strong>cunha<\/strong> \u00e9 uma pe\u00e7a em forma de tri\u00e2ngulo geralmente feita de madeira ou metal e terminando em um \u00e2ngulo muito agudo. A cunha \u00e9 considerada uma das seis m\u00e1quinas simples.<\/p>\n<p> Por ser uma m\u00e1quina simples, o formato da cunha \u00e9 usado para alterar a dire\u00e7\u00e3o da for\u00e7a aplicada a ela. Assim, a cunha \u00e9 usada para separar um objeto em dois, para levantar um objeto ou para manter um objeto est\u00e1tico no lugar.<\/p>\n<p> O funcionamento de uma cunha consiste em transformar uma for\u00e7a aplicada na sua extremidade em duas for\u00e7as perpendiculares \u00e0s suas superf\u00edcies inclinadas. Portanto, uma cunha \u00e9 uma m\u00e1quina simples que pode mudar a dire\u00e7\u00e3o de uma for\u00e7a. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/berceau.png\" alt=\"ber\u00e7o\" class=\"wp-image-5566\" width=\"219\" height=\"311\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/berceau-212x300.png 212w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/berceau.png 395w\" sizes=\"auto, (max-width: 212px) 100vw, 212px\"><\/figure>\n<p> Inicialmente, a for\u00e7a exercida na superf\u00edcie plana da cunha \u00e9 transferida para a sua extremidade pontiaguda, permitindo-lhe penetrar num objeto. Ent\u00e3o, ao inserir a cunha no furo criado, a for\u00e7a aplicada em sua superf\u00edcie plana \u00e9 convertida em duas for\u00e7as direcionadas perpendicularmente \u00e0s faces inclinadas da cunha, separando assim o objeto em duas partes. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-cuna-como-maquina-simple\"><\/span> F\u00f3rmula de cunha como uma m\u00e1quina simples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>vantagem mec\u00e2nica<\/strong> de uma cunha reside na rela\u00e7\u00e3o entre a sua altura e a sua largura. Portanto, a vantagem mec\u00e2nica de uma cunha como m\u00e1quina simples \u00e9 igual ao comprimento de sua altura dividido por sua largura.<\/p>\n<p> A <strong>f\u00f3rmula para a m\u00e1quina de cunha simples<\/strong> \u00e9, portanto, a seguinte: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-simple-de-machine-a-coin.png\" alt=\"f\u00f3rmula simples de m\u00e1quina de moedas\" class=\"wp-image-5583\" width=\"170\" height=\"232\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-simple-de-machine-a-coin-220x300.png 220w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-simple-de-machine-a-coin.png 270w\" sizes=\"auto, (max-width: 220px) 100vw, 220px\"><\/figure>\n<p> Assim, a vantagem mec\u00e2nica \u00e9 diretamente proporcional \u00e0 altura da cunha e, por outro lado, \u00e9 inversamente proporcional \u00e0 largura da cunha. \u00c9 portanto o \u00e2ngulo do canto que determina a vantagem mec\u00e2nica deste tipo de m\u00e1quina simples.<\/p>\n<p> Em suma, quanto menor o \u00e2ngulo entre as faces inclinadas, maior ser\u00e1 a vantagem mec\u00e2nica da m\u00e1quina de cunha simples. Isso significa que menos for\u00e7a ter\u00e1 que ser usada para superar a resist\u00eancia.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Uso-de-la-cuna\"><\/span> uso do canto<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Depois de vermos qual \u00e9 a defini\u00e7\u00e3o de uma moeda como uma m\u00e1quina simples e qual \u00e9 a sua f\u00f3rmula, veremos os usos da moeda para compreender completamente o seu significado.<\/p>\n<p> Exemplos muito claros do uso da cunha para quebrar ou dividir um corpo s\u00e3o o machado e o prego, que podem penetrar um objeto e depois parti-lo em dois gra\u00e7as ao mecanismo da simples m\u00e1quina de cunha. Por exemplo, a madeira pode ser cortada com um eixo.<\/p>\n<p> Da mesma forma, a faca, a tesoura e os cinz\u00e9is tamb\u00e9m contam com o funcionamento da cunha como uma m\u00e1quina simples para dividir um objeto em dois.<\/p>\n<p> Por outro lado, outra aplica\u00e7\u00e3o da falca consiste em imobilizar um objeto. Por exemplo, voc\u00ea pode colocar uma cunha na base de uma porta para mant\u00ea-la no lugar e evitar que ela se mova, evitando assim que a porta feche devido a uma corrente de ar. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicio-resuelto-de-la-cuna\"><\/span>Exerc\u00edcio de canto resolvido<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma for\u00e7a vertical de valor F=10 N \u00e9 aplicada ao pr\u00f3ximo canto cujo \u00e2ngulo mede 40\u00ba. Qual \u00e9 a for\u00e7a R exercida por cada uma de suas faces inclinadas? <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-simple-de-cale-de-machine.png\" alt=\"\" class=\"wp-image-5575\" width=\"261\" height=\"215\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-simple-de-cale-de-machine-300x243.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-simple-de-cale-de-machine.png 395w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>veja a solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Primeiro fazemos o diagrama de corpo livre do canto. Representamos, portanto, todas as for\u00e7as que atuam no sistema: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-coin-simple-machine.png\" alt=\"exerc\u00edcio resolvido de um canto como uma m\u00e1quina simples\" class=\"wp-image-5576\" width=\"292\" height=\"238\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-coin-simple-machine-300x244.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-coin-simple-machine.png 414w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p class=\"has-text-align-left\"> Observe que R <sub>x<\/sub> e R <sub>y<\/sub> s\u00e3o as for\u00e7as obtidas pela vetoriza\u00e7\u00e3o da for\u00e7a exercida por cada uma das faces inclinadas da cunha (R), e s\u00e3o calculadas atrav\u00e9s das seguintes f\u00f3rmulas:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b6b1578ac2f8ea7080b81bff5ce04945_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle R_x=R\\cdot \\text{cos }\\left(\\frac{\\alpha}{2}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"139\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9a122badb600e325c527b23684651f6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle R_y=R\\cdot \\text{sin }\\left(\\frac{\\alpha}{2}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"136\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Assim, se colocarmos a equa\u00e7\u00e3o vertical das for\u00e7as que atuam no sistema obtemos a seguinte express\u00e3o:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cbaef8f746ae78e6d86661be2bc5f6d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=R_y+R_y\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"101\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-12ae4e4786847da68cf08e9a247eae5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=2R_y\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"66\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Agora substitu\u00edmos a express\u00e3o pela for\u00e7a R <sub>e<\/sub> na equa\u00e7\u00e3o:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-6054f0056d7c2d7e175e5bb3a57f1617_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle F=2\\cdot R\\cdot \\text{sin }\\left(\\frac{\\alpha}{2}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"150\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> E finalmente, substitu\u00edmos os dados na equa\u00e7\u00e3o e apagamos a inc\u00f3gnita:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-755e66814a22fcd9ca41482a18e3d40d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 10=2\\cdot R\\cdot \\text{sin }\\left(\\frac{40\u00ba}{2}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"164\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c0ffadc662e60a3cb486ab45e413a9ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 10=2\\cdot R\\cdot \\text{sin }\\left(20\u00ba\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1b4e1cf0118635da406c47294fe5a5b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle R=\\cfrac{10}{2\\cdot \\text{sin }\\left(20\u00ba\\right)} \" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"123\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d335f338d7a310686b6059c23d5b6454_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle R=14.62\\N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"77\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que s\u00e3o cunhas (m\u00e1quinas simples). Assim, voc\u00ea descobrir\u00e1 em que consiste uma cunha quando se trata de uma m\u00e1quina simples, sua f\u00f3rmula e suas aplica\u00e7\u00f5es. Al\u00e9m disso, voc\u00ea pode praticar com um problema resolvido passo a passo. O que \u00e9 uma cunha (m\u00e1quina simples)? Uma cunha \u00e9 uma pe\u00e7a em forma &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/maquina-de-canto-simples\/\"> <span class=\"screen-reader-text\">Cunha (m\u00e1quina \u00fanica)<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[10],"tags":[],"class_list":["post-327","post","type-post","status-publish","format-standard","hentry","category-maquinas-e-mecanismos"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Cunha (m\u00e1quina \u00fanica)<\/title>\n<meta name=\"description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 uma cunha (m\u00e1quina simples), sua f\u00f3rmula, para que serve e um exerc\u00edcio resolvido da cunha em uma m\u00e1quina simples.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physigeek.com\/pt\/maquina-de-canto-simples\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Cunha (m\u00e1quina \u00fanica)\" \/>\n<meta property=\"og:description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 uma cunha (m\u00e1quina simples), sua f\u00f3rmula, para que serve e um exerc\u00edcio resolvido da cunha em uma m\u00e1quina 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