{"id":77889,"date":"2022-10-04T07:00:00","date_gmt":"2022-10-04T10:00:00","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=77889"},"modified":"2024-09-24T10:17:57","modified_gmt":"2024-09-24T13:17:57","slug":"estatica","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/estatica\/","title":{"rendered":"Est\u00e1tica: defini\u00e7\u00e3o, f\u00f3rmulas, exemplos e resolu\u00e7\u00e3o de quest\u00f5es"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Voc&ecirc; j&aacute; parou para pensar como funciona uma porta? Por mais que o objeto seja cotidiano, os mecanismos f&iacute;sicos que est&atilde;o por tr&aacute;s dela n&atilde;o s&atilde;o nada simples! Dentre outras &aacute;reas da <span id=\"urn:enhancement-f34bd51d-4998-4684-8f13-21daaeeeda7f\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, a <span id=\"urn:enhancement-dca67a6a-d217-47ce-8bee-4cef7b73fead\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/estatica\">est&aacute;tica<\/span> &eacute; uma das mais relevantes para compreender esse tipo de ferramenta.&nbsp;<p class=\"wp-block-paragraph\">Al&eacute;m de conhecer a rela&ccedil;&atilde;o entre a <span id=\"urn:enhancement-6b9acf2b-557c-4226-83f4-6e31781a8d34\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/estatica\">est&aacute;tica<\/span> e as portas, neste artigo, voc&ecirc; conhecer&aacute; melhor as f&oacute;rmulas e leis que baseiam este campo da <span id=\"urn:enhancement-b9e12164-1037-4f52-929c-f956a0515e87\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>. Veja tamb&eacute;m exemplos sobre a <span id=\"urn:enhancement-932531f0-15dd-4662-90ba-5068b871daaf\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/estatica\">est&aacute;tica<\/span> de pontos materiais, corpos extensos e como eles podem cair nas quest&otilde;es do seu <span id=\"urn:enhancement-36ab906a-737d-4286-9002-64687f93ca04\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/vestibular\">vestibular<\/span>. Vamos l&aacute;?<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/estatica\/#O-que-e-estatica\" >O que &eacute; est&aacute;tica?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/estatica\/#Equilibrios-de-pontos-materiais\" >Equil&iacute;brios de pontos materiais<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/estatica\/#Equilibrios-de-corpos-extensos\" >Equil&iacute;brios de corpos extensos<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/estatica\/#Momento-ou-torque-M\" >Momento ou torque (M)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/estatica\/#Questao-de-vestibular-sobre-vestibular-sobre-estatica\" >Quest&atilde;o de vestibular sobre vestibular sobre est&aacute;tica<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/estatica\/#Estude-mais-para-o-vestibular-com-a-Coruja\" >Estude mais para o vestibular com a Coruja!<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/estatica\/#Veja-tambem\" >Veja tamb&eacute;m:<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-o-que-e-estatica\"><span class=\"ez-toc-section\" id=\"O-que-e-estatica\"><\/span>O que &eacute; est&aacute;tica?<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Como indica o nome, a <span id=\"urn:enhancement-48843d48-04aa-4a90-9c41-a2d726a3a9bc\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/estatica\">est&aacute;tica<\/span> &eacute; a &aacute;rea da <span id=\"urn:enhancement-1f6e8433-9197-46a3-91f9-bcf6ff7fac73\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> que estuda os corpos que est&atilde;o parados, em repouso. Conforme as <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/leis-de-newton\/\" target=\"_blank\">leis de Newton<\/a>, isso significa que a <span id=\"urn:enhancement-63f3997d-ca82-49a6-801d-9ff9474641ae\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">soma<\/span> de todas as for&ccedil;as que atuam sobre aquele objeto resultam em 0.&nbsp;<\/p><p class=\"wp-block-paragraph\">Vamos recordar que a f&oacute;rmula geral para a <span id=\"urn:enhancement-15824d4f-ed76-418a-9005-f1342e32e8d1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> &eacute; dada por F=m.a, em que <strong>F <\/strong>&eacute; a <span id=\"urn:enhancement-52385422-3f23-4e9f-90f2-288d97edafca\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span>, <strong>m <\/strong>representa a <span id=\"urn:enhancement-8f9fdfe6-f851-44b7-afec-ce6a794b1cce\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span>, e <strong>a<\/strong> &eacute; a acelera&ccedil;&atilde;o. Se a resultante das for&ccedil;as &eacute; igual a 0, podemos dizer que um dos dois fatores da multiplica&ccedil;&atilde;o (<span id=\"urn:enhancement-cae978d0-0db9-4e1e-8c66-d12e42b3352e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> ou acelera&ccedil;&atilde;o) tamb&eacute;m s&atilde;o nulos.<\/p><p class=\"wp-block-paragraph\">Como todo o corpo consider&aacute;vel possui uma <span id=\"urn:enhancement-f336b7e8-9ecf-4ddd-864e-56ad9e7df422\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span>, ela nunca ser&aacute; igual a zero. Entendemos ent&atilde;o que os objetos estudados pela <span id=\"urn:enhancement-9bec5a1f-8525-449b-9aea-6c88bd46330a\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/estatica\">est&aacute;tica<\/span> admitem uma acelera&ccedil;&atilde;o total igual a zero.&nbsp;<\/p><p class=\"wp-block-paragraph\">V&aacute;rias das situa&ccedil;&otilde;es cotidianas dependem da <span id=\"urn:enhancement-5d3c4e66-5b04-4553-9c64-3587202e3698\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/estatica\">est&aacute;tica<\/span> para acontecerem, por exemplo, &eacute; necess&aacute;rio que uma ponte constru&iacute;da no meio de uma metr&oacute;pole tenha uma estabilidade consider&aacute;vel &mdash; para isso, s&atilde;o feitas funda&ccedil;&otilde;es e bases s&oacute;lidas que equilibram a edifica&ccedil;&atilde;o no solo. Assim, quando milhares de carros passarem por ela durante o dia, a <span id=\"urn:enhancement-5e74bcf3-b4d0-4b6b-86f4-069c0d9a1f33\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">soma<\/span> de todas as for&ccedil;as que atuam sobre ela &eacute; iguais a zero.<\/p><h2 class=\"wp-block-heading\" id=\"h-equilibrios-de-pontos-materiais\"><span class=\"ez-toc-section\" id=\"Equilibrios-de-pontos-materiais\"><\/span>Equil&iacute;brios de pontos materiais<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Os pontos materiais s&atilde;o elementos da <span id=\"urn:enhancement-bac2b9f6-d570-46c0-a96b-ca38cc4bb29a\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> que apresentam uma dimens&atilde;o insignificante para o contexto em quest&atilde;o &mdash; como observar o tamanho de um ser humano comparado a grandeza territorial de um pa&iacute;s como o Brasil.<\/p><p class=\"wp-block-paragraph\">Nesse caso, imaginamos que todas as for&ccedil;as poss&iacute;veis est&atilde;o atravessando aquele corpo e se equilibrando. Como sabemos, a partir da lei da in&eacute;rcia e dos princ&iacute;pios da <span id=\"urn:enhancement-e8f783c2-0e20-4e1d-8561-5bd226498429\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/estatica\">est&aacute;tica<\/span>, se a resultante das for&ccedil;as &eacute; nula e a acelera&ccedil;&atilde;o &eacute; igual a zero, o ponto material tende a continuar em repouso.<\/p><h2 class=\"wp-block-heading\" id=\"h-equilibrios-de-corpos-extensos\"><span class=\"ez-toc-section\" id=\"Equilibrios-de-corpos-extensos\"><\/span>Equil&iacute;brios de corpos extensos<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Quando os corpos possuem uma dimens&atilde;o significante no estudo f&iacute;sico, eles s&atilde;o chamados de corpos extensos. No caso do equil&iacute;brio desses objetos, o <span id=\"urn:enhancement-6fd0c877-6211-488a-b407-c972005fff43\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span> ser&aacute; definido no centro de <span id=\"urn:enhancement-8eb24d86-6d90-4721-bf66-586a0b9c3be9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> dele.&nbsp;<\/p><p class=\"wp-block-paragraph\">Em geral, os vestibulares costumam assumir barras homog&ecirc;neas para esse tema. Na pr&aacute;tica, isso significa que o centro de <span id=\"urn:enhancement-54a19040-29f8-4c8b-8201-77f7da22e428\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> estar&aacute; situado na metade do comprimento da barra e &eacute; exatamente neste ponto que est&aacute; definido o <span id=\"urn:enhancement-ab89fcb4-4d5a-40be-a086-c794d6f4578b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span>.<\/p><p class=\"wp-block-paragraph\">Para al&eacute;m dessas informa&ccedil;&otilde;es, saiba que, nas barras homog&ecirc;neas, o centro de <span id=\"urn:enhancement-6c8043e7-919d-43ab-86a7-8cbe1ac0ee2c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> &eacute; o lugar onde est&aacute; aplicada a <span id=\"urn:enhancement-0c375a8d-6797-4d3c-90e7-d0be7c160882\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> Peso. O peso, no caso, &eacute; dado pela acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-c100eef6-0a35-46a2-bf82-4e908c45cd86\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> multiplicada pelo peso da barra (P=m.g).<\/p><h2 class=\"wp-block-heading\" id=\"h-momento-ou-torque-m\"><span class=\"ez-toc-section\" id=\"Momento-ou-torque-M\"><\/span>Momento ou torque (M)<span class=\"ez-toc-section-end\"><\/span><\/h2><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/fdziYxPrxisuJcqlsHfvnYTYRlvNq-wyva2Sd6ZpsuL0lgMrSXRypiF-2pKr2BBsVA-czA2KTDER8zY057WX6Lf758XLo4AcFzeJYTSzh4CxdRPqXiei8kULy0FBHo-ZIjW1N04TJ_lWvxidII5HBto5ZpmQt7LT-EXUX2awTwLy7BkOOY6nEmKakg\" alt=\"momento de uma for&ccedil;a - est&aacute;tica\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">O momento ou torque de uma <span id=\"urn:enhancement-31eb7613-bf7c-4225-8f09-d9e9f7bec10f\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> &eacute; a capacidade que ela tem de provocar um giro no corpo, a partir de um <span id=\"urn:enhancement-fdc67720-402c-409f-93c4-783ef56fa459\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span> definido. Essa grandeza &eacute; vetorial, ou seja, possui intensidade, dire&ccedil;&atilde;o, sentido e uma unidade de medida: N.m (newton.metro).<\/p><p class=\"wp-block-paragraph\">Um momento positivo acontece quando ele est&aacute; no sentido hor&aacute;rio e o momento negativo acontece no sentido anti-hor&aacute;rio.&nbsp;<\/p><p class=\"wp-block-paragraph\">O valor do momento, ent&atilde;o, &eacute; dado pela f&oacute;rmula:<\/p><p class=\"wp-block-paragraph\"><strong>M = F.d.sen&theta;<\/strong><\/p><p class=\"wp-block-paragraph\"><strong>M<\/strong> &eacute; o s&iacute;mbolo matem&aacute;tico para momento, <strong>F<\/strong> &eacute; a <span id=\"urn:enhancement-ef85764c-6d37-4104-9722-16b61dde2d46\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> (em Newtons), <strong>&theta; <\/strong>&eacute; o &acirc;ngulo entre a <span id=\"urn:enhancement-6481a758-358a-450a-8110-f31fb75cfe36\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> e a superf&iacute;cie do corpo, enquanto d representa a dist&acirc;ncia perpendicular entre a <span id=\"urn:enhancement-2542b52c-3c6e-46c5-b089-80228ee78152\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> e o <span id=\"urn:enhancement-4d14a631-e196-4317-99d2-a3b93bc36986\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span> estabelecido.<\/p><p class=\"wp-block-paragraph\">Nos exerc&iacute;cios de <span id=\"urn:enhancement-d94b1101-5de1-4ed8-87a6-588a78fef259\" class=\"textannotation disambiguated wl-thing wl-no-link\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/vestibular\">vestibular<\/span>, em geral, o &acirc;ngulo &theta; &eacute; igual a 90&ordm;. Como o seno de 90&ordm; &eacute; igual a 1, admite-se que a f&oacute;rmula mais importante a ser decorada &eacute; M= F.d.<\/p><p class=\"wp-block-paragraph\">Agora, vamos entender a aplica&ccedil;&atilde;o dessa f&oacute;rmula na vida real. Tente responder a pergunta: por que a ma&ccedil;aneta da porta est&aacute; do lado oposto das dobradi&ccedil;as?<\/p><p class=\"wp-block-paragraph\">Ao girar uma porta, o <span id=\"urn:enhancement-cbd52ecb-3326-48f6-a0eb-0723802df9d9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span> definido &eacute; aquele cont&eacute;m as dobradi&ccedil;as. Isso significa que, a dist&acirc;ncia <strong>d <\/strong>ser&aacute; medida a partir daquele ponto.&nbsp;<\/p><p class=\"wp-block-paragraph\">Em termos te&oacute;ricos, a f&oacute;rmula nos diz que, para um mesmo valor do momento <strong>M<\/strong>, quanto maior o valor de <strong>d<\/strong>, menor a <span id=\"urn:enhancement-da4c1fcd-0abe-47e8-bd3a-41b555d17dc4\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> que deve ser aplicada. Assim, aplica&ccedil;&atilde;o di&aacute;ria, as ma&ccedil;anetas s&atilde;o colocadas o mais longe poss&iacute;vel do <span id=\"urn:enhancement-b288f1e1-3537-413c-9850-a8b587ec1ec4\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span>, para que a <span id=\"urn:enhancement-1cf7fbdb-ee7e-4918-afa1-b16fce200e1f\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> empregada seja a menor poss&iacute;vel.&nbsp;<\/p><p class=\"wp-block-paragraph\">Voc&ecirc; pode fazer o teste na sua casa: tente empurrar a porta o mais pr&oacute;ximo poss&iacute;vel das dobradi&ccedil;as e, depois, fa&ccedil;a o mesmo na ponta mais longe dele.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/tE43rOxSOseziE_JfeH2sQBrZ_02wVdknD0Z1WEqHdd9zcrp_z9vcpfs4Dtqwy8YjLNazKIuzQDUlqO0EmBkUMZY5YCYiHOp-Odo28bq4TPge-SboTA3N81dLkBXQUNpwnkBoCbEGaXJgG_tJUmmo_JW1TPJEXYeEp8B571SbkdzgVf2tKmiPcYeAA\" alt=\"est&aacute;tica e chave de roda\"><figcaption class=\"wp-element-caption\"> Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia <\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Essa ideia se repete quando observamos algu&eacute;m trocar o pneu de um carro. Quanto mais na ponta (ponto A) da chave de roda o borracheiro colocar sua <span id=\"urn:enhancement-663a1de0-9e8e-408a-8f7c-d2b32a041ea1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span>, menor intensidade ele deve aplicar no processo.&nbsp;<\/p><p class=\"wp-block-paragraph\">+ Veja mais: <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/formulas-fisica-enem\/\" target=\"_blank\">F&oacute;rmulas de F&iacute;sica para o Enem e vestibulares<\/a><\/p><h2 class=\"wp-block-heading\" id=\"h-questao-de-vestibular-sobre-vestibular-sobre-estatica\"><span class=\"ez-toc-section\" id=\"Questao-de-vestibular-sobre-vestibular-sobre-estatica\"><\/span>Quest&atilde;o de vestibular sobre vestibular sobre est&aacute;tica<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">(Universidade Estadual do Rio de Janeiro) Para que um corpo seja considerado est&aacute;tico, &eacute; necess&aacute;rio que a <span id=\"urn:enhancement-b700ee9f-2284-48d2-81d9-12a654afac6e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">soma<\/span> de seus momentos seja igual a zero. Lembre-se sempre de que um sentido de <span id=\"urn:enhancement-c261f1fe-6c4e-4de8-aa8d-6f1c46d45250\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/rotacao\">rota&ccedil;&atilde;o<\/span> &eacute; considerado positivo, enquanto o outro ser&aacute; considerado negativo. Acompanhe a resolu&ccedil;&atilde;o da quest&atilde;o abaixo.&nbsp;<\/p><p class=\"wp-block-paragraph\">Um sistema &eacute; constitu&iacute;do por seis moedas id&ecirc;nticas fixadas sobre uma r&eacute;gua de <span id=\"urn:enhancement-deceec64-4eb6-44cf-8b76-fca32cec02f6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> desprez&iacute;vel que est&aacute; apoiada na superf&iacute;cie horizontal de uma mesa, conforme ilustrado abaixo. Observe que, na r&eacute;gua, est&atilde;o marcados pontos equidistantes, numerados de 0 a 6.<\/p><p class=\"wp-block-paragraph\">Ao se deslocar a r&eacute;gua da esquerda para a direita, o sistema permanecer&aacute; em equil&iacute;brio na horizontal at&eacute; que determinado ponto da r&eacute;gua atinja a extremidade da mesa.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/tQuq1BAYQiKOLcRIl9BTgEFY9M9R6PXLQhqhNzUjDOFW4gAtyNByHzC4uDdGmOpMEftOz4mh_8Fzb87myQEjZrhQ1c5pj_AW_w73Wll-h69zUsIQ6UXwnnUWH7Cm3EtX-XnkxJcPZMxpWEA_Qwa_blGRrxOH_QbYuYaog3UhPoqPjgtvk_UojqulCQ\" alt=\"exerc&iacute;cio sobre est&aacute;tica\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">De acordo com a ilustra&ccedil;&atilde;o, esse ponto est&aacute; representado pelo seguinte n&uacute;mero:<\/p><p class=\"wp-block-paragraph\">A)4<br>B)3<br>C)2<br>D)1<\/p><p class=\"wp-block-paragraph\">Note que um lado da r&eacute;gua possui 5 moedas, enquanto o outro lado possui 1 moeda. Em termos f&iacute;sicos, isso significa que a <span id=\"urn:enhancement-d5399886-958e-4c34-9da5-04d7d072de10\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> exercida na por&ccedil;&atilde;o esquerda &eacute; dada por 5P, enquanto que a <span id=\"urn:enhancement-4d581570-b286-480b-ab4b-d2b28a43460c\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> no lado direito &eacute; dada por P.&nbsp;<\/p><p class=\"wp-block-paragraph\">O vetor dos pesos atuam em sentidos diferentes, de forma que P ter&aacute; momento positivo e 5P momento negativo. A <span id=\"urn:enhancement-03bac6bb-77fd-4322-9ae4-883b7d3a2389\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">soma<\/span> desses M deve ser igual a 0.<\/p><p class=\"wp-block-paragraph\">Al&eacute;m do mais, precisamos entender que o posicionamento da r&eacute;gua na borda da mesa vai definir o <span id=\"urn:enhancement-3ce7be3b-d3d9-422c-bce8-68b987ebca85\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo de rota&ccedil;&atilde;o<\/span>. Assim, a dist&acirc;ncia entre 5P e o <span id=\"urn:enhancement-06d93552-c845-40b0-9f34-20b7a17d6a3f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span> &eacute; dada por x, enquanto que a dist&acirc;ncia entre o centro de <span id=\"urn:enhancement-92b891a1-5b82-414a-be80-50b25ec9aa6b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> e P &eacute; 6-x, como mostra a imagem:<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/cTPs8GP-Gu5aeuWF9mZSAMmBs8Qlo_BPnLgj0p8TNy9spsX4l6ObJKJvYk1sInse6RO_1QBmbNujcWLuwP2M-0iGkgXMeNZiaI0zXhs8yYAe8858ktkZYGEByORCgcU9zsdUa66bvEzx6Qx6A4ALytPO-YCDoU_-rGQnOBIRF4X7IcSEYDYoIecfew\" alt=\"resolu&ccedil;&atilde;o do exerc&iacute;cio\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Vamos, agora aplicar as f&oacute;rmulas:<\/p><p class=\"wp-block-paragraph\">M<sub>5P<\/sub> + M<sub>P<\/sub> = 0<br>&ndash; 5P.x + P(6-x) = 0&nbsp;<br>P(6-x) =5P.x<br>6 &ndash; x = 5x<br>6 = 7x&nbsp;<br>x = 6\/7&nbsp;<br>x = 0,85<\/p><p class=\"wp-block-paragraph\">Assim, quando a r&eacute;gua atingir 0,85 das medidas estabelecidas, haver&aacute; desequil&iacute;brio. Como a quest&atilde;o s&oacute; nos fornece os valores cheios, vamos considerar que a &uacute;ltima marca&ccedil;&atilde;o poss&iacute;vel &eacute; o n&uacute;mero 1, conforme a letra D aponta.<\/p><h2 class=\"wp-block-heading\" id=\"h-estude-mais-para-o-vestibular-com-a-coruja\"><span class=\"ez-toc-section\" id=\"Estude-mais-para-o-vestibular-com-a-Coruja\"><\/span>Estude mais para o vestibular com a Coruja!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O <a href=\"https:\/\/vestibulares.estrategiaeducacional.com.br\/\" target=\"_blank\">banco de quest&otilde;es do EV <\/a>tem mais de 265 mil quest&otilde;es resolvidas para te ajudar na constru&ccedil;&atilde;o de um racioc&iacute;nio r&aacute;pido e assertivo durante a sua prova. Treine as quest&otilde;es, acompanhe as resolu&ccedil;&otilde;es e se prepare com mais Estrat&eacute;gia para realizar os seus sonhos!<\/p><p class=\"wp-block-paragraph\"><a id=\"cta\" class=\"cta-imagem\" href=\"https:\/\/vestibulares.estrategia.com\/cursos\/\" target=\"blank\">\n                <img decoding=\"async\" width=\"100%\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/12\/EV2.jpg\" alt=\"CTA - Estrat\u00e9gia Vestibulares 2\" title=\"CTA - Estrat\u00e9gia Vestibulares 2\">\n        <\/a>\n\n\n\n\n\n<\/p><h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Veja-tambem\"><\/span>Veja tamb&eacute;m:<span class=\"ez-toc-section-end\"><\/span><\/h2><ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/calculo-vetorial\/\">C&aacute;lculo vetorial: o que &eacute;, como fazer e aplica&ccedil;&otilde;es<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/momento-linear\/\">Momento Linear: quantidade de movimento e impulso<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/movimento-circular-uniforme\/\">Movimento Circular Uniforme e Uniformemente Variado (MCU e MCUV): o que s&atilde;o, f&oacute;rmulas e exemplos<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/velocidade-relativa\/\">Velocidade Relativa: conceitos e f&oacute;rmulas<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/velocidade-escalar\/\">Velocidade escalar: o que &eacute;, f&oacute;rmulas e muito mais!<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/aceleracao-tangencial\/\">Acelera&ccedil;&atilde;o tangencial: entenda o que &eacute; e como aparece no vestibular<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/funcao-horaria-da-posicao\/\">Fun&ccedil;&atilde;o hor&aacute;ria da posi&ccedil;&atilde;o: conceito, f&oacute;rmulas e aplica&ccedil;&otilde;es<\/a><\/li>\n<\/ul><\/p>\n","protected":false},"excerpt":{"rendered":"Voc&ecirc; j&aacute; parou para pensar como funciona uma porta? Por mais que o objeto seja cotidiano, os mecanismos&hellip;\n","protected":false},"author":23,"featured_media":78312,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[],"class_list":["post-77889","post","type-post","status-publish","format-standard","has-post-thumbnail","category-fisica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v28.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Est\u00e1tica: defini\u00e7\u00e3o, f\u00f3rmulas, exemplos e resolu\u00e7\u00e3o de quest\u00f5es<\/title>\n<meta name=\"description\" content=\"Conhe\u00e7as as f\u00f3rmulas e leis da est\u00e1tica, com exemplos sobre a est\u00e1tica de pontos materiais, corpos extensos e resolu\u00e7\u00e3o de quest\u00e3o!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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