{"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":"sistemi-di-forze-concorrenti-vs-non-concorrenti","status":"publish","type":"post","link":"https:\/\/solveredu.com\/it\/post\/zbiezny-vs-dowolny-rozbiezny-uklad-sil\/","title":{"rendered":"Sistema di forze convergente vs. divergente (Divergente) - Differenze e metodi di calcolo"},"content":{"rendered":"<h2 class=\"wp-block-heading has-medium-font-size\">Come smettere di combattere la meccanica? Padroneggiate i sistemi di alimentazione una volta per tutte!<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Studiare ingegneria \u00e8 una battaglia costante con i vettori e i colloqui di meccanica possono essere un incubo. Il problema principale? Spesso confondiamo i tipi di sistemi di forze, il che porta a equazioni sbagliate fin dall'inizio. Oggi vi spieghiamo come semplificare le cose.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><a href=\"#zbiezny\"><strong>Convergente o arbitrario? \u00c8 necessario distinguere tra le due cose!<\/strong><\/a><\/li>\n\n\n\n<li><a href=\"#warunki\"><strong>Condizioni di equilibrio: dove sta la differenza?<\/strong><\/a><\/li>\n\n\n\n<li><a href=\"#przykladowe\"><strong>Esempi di compiti<\/strong><\/a><\/li>\n<\/ol>\n\n\n\n<h3 id=\"zbiezny\" class=\"wp-block-heading\">1. convergente o arbitrario? \u00c8 necessario distinguere tra i due!<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Prima di passare ai calcoli, \u00e8 necessario classificare correttamente il sistema. Questo determiner\u00e0 il numero di equazioni da scrivere e la necessit\u00e0 di contare i momenti.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Sistemi di forze convergenti:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Sistema di forza convergente piatto<\/strong> - In meccanica, un sistema di forze planari convergenti \u00e8 un sistema in cui tutti i vettori di forza agiscono in modo <strong>un aereo<\/strong>, e le loro linee (direzioni) si intersecano esattamente in corrispondenza del <strong>un punto<\/strong>. Ogni singolo nodo della capriata viene considerato come un sistema planare di forze convergenti.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Disposizione spaziale delle forze convergenti<\/strong> - Un sistema di forze, applicate a un corpo rigido, le cui direzioni d'azione si intersecano in corrispondenza della <strong>un punto<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Disposizione di forze arbitrarie (divergenti):<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00c8 una situazione in cui le forze sono disperse. Le loro linee d'azione non hanno un unico punto di contatto. Un sistema di questo tipo \u00e8 in grado non solo di muovere il corpo verso l'alto, verso il basso o lateralmente, ma soprattutto di - <strong>pu\u00f2 causare un turnover<\/strong>. Un sistema di questo tipo pu\u00f2 essere planare, quando tutte le forze giacciono su un unico piano, o spaziale, quando le forze giacciono su piani diversi.<\/li>\n<\/ul>\n\n\n\n<h3 id=\"warunki\" class=\"wp-block-heading\">2 Condizioni di equilibrio: dove sta la differenza?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A seconda del sistema con cui si ha a che fare, \u00e8 necessario scrivere il numero appropriato di equazioni. Un sistema di forze convergenti \u00e8 in equilibrio se i vettori delle forze formano una <strong>poligono chiuso<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><td><strong>Caratteristica<\/strong><\/td><td><strong>Sistema convergente<\/strong><\/td><td><strong>Disposizione Qualsiasi<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>Piatto<\/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>Spazio<\/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\">In un sistema planare arbitrario, entra in gioco una terza equazione: la somma dei momenti relativi a un punto selezionato. \u00c8 qui che si commettono i maggiori errori, dimenticando la direzione del momento o il braccio della forza.<\/p>\n\n\n\n<h4 id=\"przykladowe\" class=\"wp-block-heading\">3 Esempi di compiti<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Di seguito \u00e8 riportato un esempio di compito con un sistema di forze convergenti.<\/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\/it\/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-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad2_en.jpg?fit=300%2C223&amp;ssl=1\" 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 di forze convergenti, compito campione, 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>piatto <\/em>equilibrio di potere<\/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\/it\/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-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/zad1_en.jpg?fit=300%2C219&amp;ssl=1\" 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=\"Qualsiasi sistema di forze, compito campione, 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>Qualsiasi sistema piatto di forze<\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Potete trovare le soluzioni ai compiti dei sistemi di forze piane nel mio strumento gratuito <a href=\"https:\/\/solveredu.com\/it\/calcolatore-sistemi-piani-di-forze\/\" data-type=\"page\" data-id=\"2945\"><strong>Calcolatore sistema di forze piane <\/strong><\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gli esempi sopra riportati sono stati generati in questo programma per la risoluzione di sistemi di forze planari, dove \u00e8 possibile calcolare la risultante e il momento principale di un sistema di forze.<\/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\/it\/wp-json\/wp\/v2\/posts\/3192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/comments?post=3192"}],"version-history":[{"count":16,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/posts\/3192\/revisions"}],"predecessor-version":[{"id":3232,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/posts\/3192\/revisions\/3232"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/media\/2953"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/media?parent=3192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/categories?post=3192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/tags?post=3192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}