{"id":3192,"date":"2026-03-10T22:12:49","date_gmt":"2026-03-10T21:12:49","guid":{"rendered":"https:\/\/solveredu.com\/?p=3192"},"modified":"2026-03-10T22:12:55","modified_gmt":"2026-03-10T21:12:55","slug":"sistema-de-forcas-concorrentes-vs-nao-concorrentes","status":"publish","type":"post","link":"https:\/\/solveredu.com\/pt\/post\/zbiezny-vs-dowolny-rozbiezny-uklad-sil\/","title":{"rendered":"Sistema de for\u00e7as convergente vs. divergente (divergente) - Diferen\u00e7as e m\u00e9todos de c\u00e1lculo"},"content":{"rendered":"<h2 class=\"wp-block-heading has-medium-font-size\">Como parar de lutar contra a mec\u00e2nica? Domine os sistemas de energia de uma vez por todas!<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Estudar engenharia \u00e9 uma batalha constante com vetores, e os col\u00f3quios de mec\u00e2nica podem ser um pesadelo. O maior problema? Muitas vezes confundimos os tipos de sistemas de for\u00e7a, o que leva a equa\u00e7\u00f5es erradas desde o in\u00edcio. Hoje, vamos detalhar o assunto e mostrar como facilitar as coisas para voc\u00ea.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><a href=\"#zbiezny\"><strong>Convergente ou arbitr\u00e1rio? Voc\u00ea precisa fazer a distin\u00e7\u00e3o entre os dois!<\/strong><\/a><\/li>\n\n\n\n<li><a href=\"#warunki\"><strong>Condi\u00e7\u00f5es de equil\u00edbrio - onde est\u00e1 a diferen\u00e7a?<\/strong><\/a><\/li>\n\n\n\n<li><a href=\"#przykladowe\"><strong>Exemplos de tarefas<\/strong><\/a><\/li>\n<\/ol>\n\n\n\n<h3 id=\"zbiezny\" class=\"wp-block-heading\">1. convergente ou arbitr\u00e1rio? Voc\u00ea precisa fazer a distin\u00e7\u00e3o entre os dois!<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Antes de iniciar os c\u00e1lculos, voc\u00ea precisa classificar seu sistema corretamente. Isso determinar\u00e1 quantas equa\u00e7\u00f5es voc\u00ea ter\u00e1 de escrever e se ter\u00e1 de contar momentos.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Sistemas de for\u00e7as convergentes:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Sistema de for\u00e7a convergente plana<\/strong> - Na mec\u00e2nica, um sistema de for\u00e7a convergente planar \u00e9 aquele em que todos os vetores de for\u00e7a atuam em um <strong>um avi\u00e3o<\/strong>, e suas linhas (dire\u00e7\u00f5es) se cruzam exatamente no ponto <strong>um ponto<\/strong>. Cada n\u00f3 individual da treli\u00e7a \u00e9 considerado precisamente como um sistema planar de for\u00e7as convergentes<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Disposi\u00e7\u00e3o espacial das for\u00e7as convergentes<\/strong> - Um sistema de for\u00e7as, aplicado a um corpo r\u00edgido, cujas dire\u00e7\u00f5es de a\u00e7\u00e3o se cruzam no <strong>um ponto<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Arranjos de for\u00e7as arbitr\u00e1rias (divergentes):<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00c9 uma situa\u00e7\u00e3o em que as for\u00e7as est\u00e3o dispersas. Suas linhas de a\u00e7\u00e3o n\u00e3o t\u00eam um \u00fanico ponto de contato. Esse sistema n\u00e3o s\u00f3 \u00e9 capaz de mover o corpo para cima, para baixo ou para os lados, mas, acima de tudo, para cima e para baixo. <strong>pode causar uma rotatividade<\/strong>. Esse sistema pode ser planar, quando todas as for\u00e7as est\u00e3o em um plano, ou espacial, quando as for\u00e7as est\u00e3o em planos diferentes.<\/li>\n<\/ul>\n\n\n\n<h3 id=\"warunki\" class=\"wp-block-heading\">2 Condi\u00e7\u00f5es de equil\u00edbrio - onde est\u00e1 a diferen\u00e7a?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Dependendo do sistema com o qual est\u00e1 lidando, \u00e9 necess\u00e1rio escrever o n\u00famero apropriado de equa\u00e7\u00f5es. Um sistema de for\u00e7as convergentes est\u00e1 em equil\u00edbrio se os vetores de for\u00e7a formarem um <strong>pol\u00edgono fechado<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><td><strong>Recurso<\/strong><\/td><td><strong>Sistema convergente<\/strong><\/td><td><strong>Arranjo Qualquer<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>Plano<\/strong><\/td><td><math data-latex=\"\\sum F_x = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_x = 0<\/annotation><\/semantics><\/math>   <br><math data-latex=\"\\sum F_y = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>y<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_y = 0<\/annotation><\/semantics><\/math><\/td><td><math data-latex=\"\\sum F_x = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_x = 0<\/annotation><\/semantics><\/math><br><math data-latex=\"\\sum F_y = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>y<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_y = 0<\/annotation><\/semantics><\/math>   <math data-latex=\"\\sum M_o = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>M<\/mi><mi>o<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\M_o = 0<\/annotation><\/semantics><\/math> <\/td><\/tr><tr><td><strong>Espacial<\/strong><\/td><td><math data-latex=\"\\sum F_x = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_x = 0<\/annotation><\/semantics><\/math> <br><math data-latex=\"\\sum F_y = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>y<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_y = 0<\/annotation><\/semantics><\/math><br><math data-latex=\"\\sum F_z = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>z<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_z = 0<\/annotation><\/semantics><\/math><\/td><td><math data-latex=\"\\sum F_x = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_x = 0<\/annotation><\/semantics><\/math>     <math data-latex=\"\\sum M_x = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>M<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\M_x = 0<\/annotation><\/semantics><\/math><br><math data-latex=\"\\sum F_y = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>y<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_y = 0<\/annotation><\/semantics><\/math>     <math data-latex=\"\\sum M_y = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>M<\/mi><mi>y<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\M_y = 0<\/annotation><\/semantics><\/math><br><math data-latex=\"\\sum F_z = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>F<\/mi><mi>z<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\F_z = 0<\/annotation><\/semantics><\/math>     <math data-latex=\"\\sum M_z = 0\"><semantics><mrow><mo movablelimits=\"false\">\u2211<\/mo><msub><mi>M<\/mi><mi>z<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\M_z = 0<\/annotation><\/semantics><\/math><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Em um sistema arbitr\u00e1rio plano, uma terceira equa\u00e7\u00e3o entra em jogo - a soma dos momentos relativos a um ponto selecionado. \u00c9 aqui que cometemos a maioria dos erros, esquecendo a dire\u00e7\u00e3o do momento ou o bra\u00e7o da for\u00e7a.<\/p>\n\n\n\n<h4 id=\"przykladowe\" class=\"wp-block-heading\">3 Exemplos de tarefas<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Abaixo, voc\u00ea encontrar\u00e1 um exemplo de uma tarefa com um sistema de for\u00e7as convergentes.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1215\" height=\"903\" data-attachment-id=\"2953\" data-permalink=\"https:\/\/solveredu.com\/pt\/zad2_en\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?fit=1215%2C903&amp;ssl=1\" data-orig-size=\"1215,903\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"zad2_en\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?fit=1024%2C761&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?resize=1215%2C903&#038;ssl=1\" alt=\"Sistema de for\u00e7as convergentes, tarefa de amostragem, Solveredu\" class=\"wp-image-2953\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?w=1215&amp;ssl=1 1215w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?resize=300%2C223&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?resize=1024%2C761&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?resize=768%2C571&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?resize=16%2C12&amp;ssl=1 16w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\"><em>Convergente <em>plano <\/em>equil\u00edbrio de poder<\/em><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1217\" height=\"890\" data-attachment-id=\"2952\" data-permalink=\"https:\/\/solveredu.com\/pt\/zad1_en\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?fit=1217%2C890&amp;ssl=1\" data-orig-size=\"1217,890\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"zad1_en\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?fit=1024%2C749&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?resize=1217%2C890&#038;ssl=1\" alt=\"Qualquer sistema de for\u00e7as, tarefa de amostragem, Solveredu\" class=\"wp-image-2952\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?w=1217&amp;ssl=1 1217w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?resize=300%2C219&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?resize=1024%2C749&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?resize=768%2C562&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?resize=16%2C12&amp;ssl=1 16w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\"><em>Qualquer sistema plano de for\u00e7as<\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Voc\u00ea pode treinar as solu\u00e7\u00f5es para as tarefas dos sistemas de for\u00e7a plana em minha ferramenta gratuita <a href=\"https:\/\/solveredu.com\/pt\/calculadora-sistemas-de-forcas-coplanas\/\" data-type=\"page\" data-id=\"2945\"><strong>Calculadora de for\u00e7a plana <\/strong><\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Os exemplos mostrados acima s\u00e3o gerados nesse programa para resolver sistemas de for\u00e7as planas, em que a resultante e o momento principal de um sistema de for\u00e7as podem ser calculados.<\/p>","protected":false},"excerpt":{"rendered":"<p>Jak przesta\u0107 walczy\u0107 z mechanik\u0105? Opanuj uk\u0142ady si\u0142 raz a dobrze! Studia techniczne to nieustanna walka z wektorami, a kolokwia z mechaniki potrafi\u0105 \u015bni\u0107 si\u0119 po nocach. Najwi\u0119kszy problem? Cz\u0119sto mylimy typy uk\u0142ad\u00f3w si\u0142, co prowadzi do b\u0142\u0119dnych r\u00f3wna\u0144 ju\u017c na starcie. Dzi\u015b rozbijemy to na czynniki pierwsze i poka\u017cemy Ci, jak u\u0142atwi\u0107 sobie \u017cycie. [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":2953,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"_wpas_customize_per_network":false},"categories":[14815,14816],"tags":[14846,14820,14845,14847],"class_list":["post-3192","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","category-wytrzymalosc-materialow","tag-belka-swobodnie-podparta","tag-rownania-rownowagi","tag-reakcje-podporowe","tag-stateczna-wyznaczalnosc"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?fit=1215%2C903&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-Pu","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/posts\/3192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/comments?post=3192"}],"version-history":[{"count":16,"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/posts\/3192\/revisions"}],"predecessor-version":[{"id":3232,"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/posts\/3192\/revisions\/3232"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/media\/2953"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/media?parent=3192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/categories?post=3192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/pt\/wp-json\/wp\/v2\/tags?post=3192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}