{"id":3186,"date":"2026-03-12T22:26:10","date_gmt":"2026-03-12T21:26:10","guid":{"rendered":"https:\/\/solveredu.com\/?p=3186"},"modified":"2026-03-12T22:26:14","modified_gmt":"2026-03-12T21:26:14","slug":"atwood-fele-ejtogep-feladatok","status":"publish","type":"post","link":"https:\/\/solveredu.com\/hu\/post\/maszyna-atwooda-zadania\/","title":{"rendered":"Hogyan harapd\u00e1ljuk meg az Atwood g\u00e9pet? \u00datmutat\u00f3 a blokkfeladatokhoz"},"content":{"rendered":"<h2 class=\"wp-block-heading has-medium-font-size\">Bevezet\u00e9s: R\u00e9m\u00e1lom a blokkokkal? Ez\u00fattal nem!<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A blokkfeladatok, k\u00f6zismertebb nev\u00fck\u00f6n <strong>Atwood g\u00e9p<\/strong>, az egyik els\u0151 komoly dinamikai teszt. B\u00e1r a fel\u00e1ll\u00e1s egyszer\u0171nek t\u0171nik - k\u00e9t k\u00fcl\u00f6nb\u00f6z\u0151 t\u00f6meg\u0171 t\u00f6mb\u00f6t egy korongon \u00e1tvetett sz\u00e1lon felf\u00fcggesztve -, itt sok di\u00e1kot \u00e9s hallgat\u00f3t \u201ekioktatnak\u201d a jelekr\u0151l (+\/-) \u00e9s a rosszul defini\u00e1lt fesz\u00edt\u0151er\u0151kr\u0151l.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Helyes megnevez\u00e9s <strong>a rendszer gyorsul\u00e1sa a<\/strong> \u00e9s <strong>k\u00f6t\u00e9lfesz\u00edt\u0151 er\u0151 T<\/strong> meg kell \u00e9rteni, hogy az er\u0151k hogyan hatnak egym\u00e1sra. Ebben a cikkben lebontjuk ezt a probl\u00e9m\u00e1t, hogy 5 perc alatt elsaj\u00e1t\u00edthasd.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\">Az elm\u00e9let di\u00f3h\u00e9jban: Az ide\u00e1lis fizikai rendszer<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Miel\u0151tt a k\u00e9pletekre r\u00e1t\u00e9rne, ismernie kell a j\u00e1t\u00e9kszab\u00e1lyokat. A tudom\u00e1nyos feladatokban \u00e1ltal\u00e1ban az ide\u00e1lis modellt alkalmazzuk:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>K\u00f6t\u00e9lfesz\u00edt\u0151 er\u0151 <em>T<\/em><\/strong> a blokk mindk\u00e9t oldal\u00e1n azonos \u00e9rt\u00e9kkel rendelkezik.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A fonal nem ny\u00fajthat\u00f3 \u00e9s s\u00falytalan.<\/strong> - Ennek eredm\u00e9nyek\u00e9nt mindk\u00e9t blokk gyorsul\u00e1sa azonos, \u00e9s a sz\u00e1l s\u00falya nem befoly\u00e1solja az eredm\u00e9nyt.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A blokk s\u00falytalan, \u00e9s nincs s\u00farl\u00f3d\u00e1s a tengelyen.<\/strong> - Ez azt jelenti, hogy a teljes fesz\u00edt\u0151er\u0151 k\u00f6zvetlen\u00fcl a blokkok k\u00f6z\u00f6tt ker\u00fcl \u00e1tvitelre (a merevtest-mechanik\u00e1ban ez v\u00e1ltozik, de a pontdinamik\u00e1ban ez a szabv\u00e1ny).<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\">Az er\u0151k eloszl\u00e1sa: neh\u00e9zked\u00e9s vs. fesz\u00fclts\u00e9g<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A kulcs az, hogy minden egyes blokkhoz k\u00fcl\u00f6n-k\u00fcl\u00f6n rajzoljuk meg az er\u0151ket. Tegy\u00fck fel, hogy  <math data-latex=\"m_2 &gt; m_1\"><semantics><mrow><msub><mi>m<\/mi><mn>2<\/mn><\/msub><mo>&gt;<\/mo><msub><mi>m<\/mi><mn>1<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">m_2 &gt; m_1<\/annotation><\/semantics><\/math>. A rendszer elindul a nehezebb blokk fel\u00e9. <math data-latex=\"m_2\"><semantics><msub><mi>m<\/mi><mn>2<\/mn><\/msub><annotation encoding=\"application\/x-tex\">m_2<\/annotation><\/semantics><\/math> .<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\">3. a k\u00e9pletek levezet\u00e9se: Newton m\u00e1sodik dinamikai t\u00f6rv\u00e9nye<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Az 1. blokk eset\u00e9ben <math data-latex=\"\\boldsymbol{(m_1)}\"><semantics><mrow style=\"font-weight:bold;\"><mo form=\"prefix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">(<\/mo><msub><mi>\ud835\udc8e<\/mi><mstyle style=\"font-style:italic;font-family:Cambria, 'Times New Roman', serif;font-weight:bold;\"><mn>1<\/mn><\/mstyle><\/msub><mo form=\"postfix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\boldsymbol{(m_1)}<\/annotation><\/semantics><\/math>:<\/strong> Felfel\u00e9 mozog. A fesz\u00edt\u0151er\u0151 (T1) \u201egy\u0151z\u201d a s\u00faly felett. <math data-latex=\"m_1g\"><semantics><mrow><msub><mi>m<\/mi><mn>1<\/mn><\/msub><mi>g<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">m_1g<\/annotation><\/semantics><\/math> .<\/li>\n\n\n\n<li><strong>A 2. blokk eset\u00e9ben <strong><math data-latex=\"\\boldsymbol{(m_2)}\"><semantics><mrow style=\"font-weight:bold;\"><mo form=\"prefix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">(<\/mo><msub><mi>\ud835\udc8e<\/mi><mstyle style=\"font-style:italic;font-family:Cambria, 'Times New Roman', serif;font-weight:bold;\"><mn>2<\/mn><\/mstyle><\/msub><mo form=\"postfix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\boldsymbol{(m_2)}<\/annotation><\/semantics><\/math><\/strong>:<\/strong> Lefel\u00e9 mozog. S\u00faly <math data-latex=\"m_2g\"><semantics><mrow><msub><mi>m<\/mi><mn>2<\/mn><\/msub><mi>g<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">m_2g<\/annotation><\/semantics><\/math> \u201egy\u0151z\u201d a h\u00faz\u00f3er\u0151vel (T2).<\/li>\n\n\n\n<li>Felt\u00e9telezz\u00fck, hogy a fesz\u00edt\u0151er\u0151 mindk\u00e9t oldalon egyenl\u0151 :  <math data-latex=\"T_1=T_2=T\"><semantics><mrow><msub><mi>T<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><msub><mi>T<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mi>T<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">T_1=T_2=T<\/annotation><\/semantics><\/math><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"941\" height=\"742\" data-attachment-id=\"3240\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/maszyna-atwooda-zadania\/1-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1-2.jpg?fit=941%2C742&amp;ssl=1\" data-orig-size=\"941,742\" 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=\"1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1-2.jpg?fit=941%2C742&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1-2.jpg?resize=941%2C742&#038;ssl=1\" alt=\"P\u00e9lda feladat t\u00f6megekkel egy t\u00f6mb\u00f6n, Atwood g\u00e9p, solveredu\" class=\"wp-image-3240\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1-2.jpg?w=941&amp;ssl=1 941w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1-2.jpg?resize=300%2C237&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1-2.jpg?resize=768%2C606&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/1-2.jpg?resize=15%2C12&amp;ssl=1 15w\" sizes=\"auto, (max-width: 941px) 100vw, 941px\" \/><figcaption class=\"wp-element-caption\">P\u00e9lda diagram<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-theme-1-color has-theme-2-background-color has-text-color has-background has-link-color has-fixed-layout\"><tbody><tr><td>Az \u00e1ramk\u00f6ri diagram \u00e9s az \u00f6sszes sz\u00e1m\u00edt\u00e1s a <a href=\"https:\/\/solveredu.com\/hu\/mechanika-csigak-tomegek-lejto\/\"><strong>Blokk- \u00e9s t\u00f6megdinamikai sz\u00e1mol\u00f3g\u00e9p<\/strong><\/a> . Seg\u00edts\u00e9g\u00e9vel r\u00e9szletes megold\u00e1st kaphat az ilyen t\u00edpus\u00fa feladatokra.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"353\" height=\"475\" data-attachment-id=\"3245\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/maszyna-atwooda-zadania\/2-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?fit=353%2C475&amp;ssl=1\" data-orig-size=\"353,475\" 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=\"2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?fit=353%2C475&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?resize=353%2C475&#038;ssl=1\" alt=\"\" class=\"wp-image-3245\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?w=353&amp;ssl=1 353w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?resize=223%2C300&amp;ssl=1 223w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?resize=9%2C12&amp;ssl=1 9w\" sizes=\"auto, (max-width: 353px) 100vw, 353px\" \/><figcaption class=\"wp-element-caption\">Kih\u00fazott er\u0151k minden egyes t\u00f6meg \u00e9s blokk eset\u00e9ben<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Ezut\u00e1n \u00edrjuk fel a mozg\u00e1segyenleteket minden egyes blokkhoz k\u00fcl\u00f6n-k\u00fcl\u00f6n:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"328\" height=\"256\" data-attachment-id=\"3244\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/maszyna-atwooda-zadania\/3-5\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3-1.jpg?fit=328%2C256&amp;ssl=1\" data-orig-size=\"328,256\" 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=\"3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3-1.jpg?fit=328%2C256&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3-1.jpg?resize=328%2C256&#038;ssl=1\" alt=\"\" class=\"wp-image-3244\" style=\"width:328px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3-1.jpg?w=328&amp;ssl=1 328w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3-1.jpg?resize=300%2C234&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/3-1.jpg?resize=15%2C12&amp;ssl=1 15w\" sizes=\"auto, (max-width: 328px) 100vw, 328px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A kinematikai kapcsolatot a k\u00f6vetkez\u0151kre alapozzuk <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"364\" height=\"114\" data-attachment-id=\"3248\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/maszyna-atwooda-zadania\/5-4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5-1.jpg?fit=364%2C114&amp;ssl=1\" data-orig-size=\"364,114\" 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=\"5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5-1.jpg?fit=364%2C114&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5-1.jpg?resize=364%2C114&#038;ssl=1\" alt=\"\" class=\"wp-image-3248\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5-1.jpg?w=364&amp;ssl=1 364w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5-1.jpg?resize=300%2C94&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/5-1.jpg?resize=18%2C6&amp;ssl=1 18w\" sizes=\"auto, (max-width: 364px) 100vw, 364px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Ha ezeket az egyenleteket oldalank\u00e9nt \u00f6sszeadjuk \u00e9s egyszer\u0171s\u00edtj\u00fck, a k\u00f6vetkez\u0151 megold\u00e1st kapjuk:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"441\" height=\"411\" data-attachment-id=\"3249\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/maszyna-atwooda-zadania\/6-4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6-1.jpg?fit=441%2C411&amp;ssl=1\" data-orig-size=\"441,411\" 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=\"6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6-1.jpg?fit=441%2C411&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6-1.jpg?resize=441%2C411&#038;ssl=1\" alt=\"\" class=\"wp-image-3249\" style=\"width:308px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6-1.jpg?w=441&amp;ssl=1 441w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6-1.jpg?resize=300%2C280&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/6-1.jpg?resize=13%2C12&amp;ssl=1 13w\" sizes=\"auto, (max-width: 441px) 100vw, 441px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A p\u00e9ld\u00e1nkban felt\u00e9telezett sz\u00e1mok behelyettes\u00edt\u00e9s\u00e9t k\u00f6vet\u0151en megkapjuk a v\u00e9gs\u0151 gyorsul\u00e1si \u00e9rt\u00e9keket <strong>a<\/strong> \u00e9s szak\u00edt\u00f3szil\u00e1rds\u00e1g <strong>T<\/strong> <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"683\" height=\"787\" data-attachment-id=\"3251\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/maszyna-atwooda-zadania\/7-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7-1.jpg?fit=683%2C787&amp;ssl=1\" data-orig-size=\"683,787\" 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=\"7\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7-1.jpg?fit=683%2C787&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7-1.jpg?resize=683%2C787&#038;ssl=1\" alt=\"\" class=\"wp-image-3251\" style=\"aspect-ratio:0.8678535497134858;width:439px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7-1.jpg?w=683&amp;ssl=1 683w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7-1.jpg?resize=260%2C300&amp;ssl=1 260w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/7-1.jpg?resize=10%2C12&amp;ssl=1 10w\" sizes=\"auto, (max-width: 683px) 100vw, 683px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">3 \u00d6sszefoglal\u00f3 \u00e9s GYIK.<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Az Atwood-g\u00e9p az egyik legegyszer\u0171bb, m\u00e9gis legeleg\u00e1nsabb modell, amelyet a newtoni dinamika tan\u00edt\u00e1s\u00e1ra haszn\u00e1lnak. Lehet\u0151v\u00e9 teszi, hogy a gyakorlatban l\u00e1ssuk, hogyan m\u0171k\u00f6dnek a fizika alapvet\u0151 t\u00f6rv\u00e9nyei.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A cikkben megmutattuk, hogy:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a rendszer mozg\u00e1sa k\u00f6zvetlen\u00fcl a k\u00f6vetkez\u0151kb\u0151l ad\u00f3dik <strong>Newton m\u00e1sodik elve<\/strong>,<\/li>\n\n\n\n<li>a gyorsul\u00e1s f\u00fcgg <strong>t\u00f6megk\u00fcl\u00f6nbs\u00e9g<\/strong>, \u00e9s nem az \u00f6sszeg\u00fck,<\/li>\n\n\n\n<li>a fonal fesz\u00fclts\u00e9ge mindig <strong>a k\u00e9t t\u00f6meg s\u00falya k\u00f6z\u00f6tt<\/strong>,<\/li>\n\n\n\n<li>M\u00e9g egy egyszer\u0171 rendszer is sz\u00e1m\u00edt\u00e1si hib\u00e1khoz vezethet, ha az egyenleteket helytelen\u00fcl \u00edrj\u00e1k fel.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Ez\u00e9rt a gyakorlatban sok di\u00e1k olyan eszk\u00f6z\u00f6ket haszn\u00e1l, mint a <a href=\"https:\/\/solveredu.com\/hu\/mechanika-csigak-tomegek-lejto\/\"><strong>Blokk- \u00e9s t\u00f6megdinamikai sz\u00e1mol\u00f3g\u00e9p<\/strong><\/a> <strong> SolverEdu-ban<\/strong>, amely automatikusan kiadja a gyorsul\u00e1st \u00e9s a fesz\u00fclts\u00e9get a megadott s\u00falyok alapj\u00e1n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ez lehet\u0151v\u00e9 teszi, hogy a k\u00f6vetkez\u0151kre \u00f6sszpontos\u00edtson <strong>a fizika meg\u00e9rt\u00e9se<\/strong>, a sz\u00e1m\u00edt\u00e1si hiba kock\u00e1zata helyett.<\/p>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list\">\n<div id=\"faq-question-1773348984938\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question\">A nehezebb s\u00faly mindig lefel\u00e9 megy?<br><\/h3>\n<div class=\"rank-math-answer\">\n<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?resize=150%2C150&amp;ssl=1\" class=\"alignright\" alt=\"\" data-attachment-id=\"3245\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/maszyna-atwooda-zadania\/2-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?fit=353%2C475&amp;ssl=1\" data-orig-size=\"353,475\" 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=\"2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2026\/03\/2-1.jpg?fit=353%2C475&amp;ssl=1\" \/>\n<p>Igen.<br \/>Ha a s\u00falyok elt\u00e9r\u0151ek, <strong>a nehezebb t\u00f6meg mindig lefel\u00e9 gyorsul<\/strong>, \u00e9s a k\u00f6nnyebbik felfel\u00e9 mozog.<br \/>Ha a t\u00f6megek azonosak, akkor a rendszer marad a <strong>egyens\u00faly<\/strong> \u00e9s a gyorsul\u00e1s 0.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773349016528\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question\">Mi\u00e9rt f\u00fcgg a gyorsul\u00e1s a t\u00f6megek \u00f6sszeg\u00e9t\u0151l?<\/h3>\n<div class=\"rank-math-answer\">\n\n<p>Mivel mindk\u00e9t t\u00f6meg <strong>egy dinamikus rendszer<\/strong>.<br \/>A s\u00falyk\u00fcl\u00f6nbs\u00e9g mozg\u00e1st okoz, de a rendszer teljes t\u00f6mege befoly\u00e1solja a tehetetlens\u00e9get. Ez\u00e9rt a gyorsul\u00e1s a k\u00f6vetkez\u0151 form\u00e1j\u00fa:<br \/><math display=\"block\"><semantics><mrow><mi>a<\/mi><mo>=<\/mo><mfrac><mrow><mo stretchy=\"false\">(<\/mo><msub><mi>m<\/mi><mn>2<\/mn><\/msub><mo>\u2212<\/mo><msub><mi>m<\/mi><mn>1<\/mn><\/msub><mo stretchy=\"false\">)<\/mo><mi>g<\/mi><\/mrow><mrow><msub><mi>m<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">a = \\frac{(m_2 - m_1)g}{m_1 + m_2}<\/annotation><\/semantics><\/math><\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773349101090\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question\">A fonal fesz\u00fclts\u00e9ge megegyezik az egyik t\u00f6meg s\u00faly\u00e1val?<br><\/h3>\n<div class=\"rank-math-answer\">\n\n<p>Nem.<br \/>Fesz\u00fclts\u00e9g <strong>nem egyenl\u0151<\/strong> a s\u00falyok egyike sem, ahogy a rendszer mozog.<br \/>Ez mindig <strong>kisebb, mint a nagyobb t\u00f6meg s\u00falya \u00e9s nagyobb, mint a kisebb t\u00f6meg s\u00falya<\/strong>.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773349140968\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question\">Hogyan sz\u00e1molja az Atwood g\u00e9p feladat\u00e1t a leggyorsabbnak?<br><\/h3>\n<div class=\"rank-math-answer\">\n\n<p>A legegyszer\u0171bb m\u00f3dszer a k\u00f6vetkez\u0151:<br \/>- \u00edrja fel a Newton 2. elv\u00e9b\u0151l sz\u00e1rmaz\u00f3 egyenleteket mindk\u00e9t t\u00f6megre,<br \/>- egyenletrendszer megold\u00e1sa,<br \/>- a gyorsul\u00e1s \u00e9s a fesz\u00fclts\u00e9g kisz\u00e1m\u00edt\u00e1sa.<br \/>Alternat\u00edvak\u00e9nt haszn\u00e1lhatja a <strong><a href=\"https:\/\/solveredu.com\/hu\/mechanika-csigak-tomegek-lejto\/\" data-type=\"page\" data-id=\"2866\">Atwood g\u00e9p sz\u00e1mol\u00f3g\u00e9p a SolverEdu-ban<\/a><\/strong>, amely automatikusan elv\u00e9gzi ezeket a sz\u00e1m\u00edt\u00e1sokat, \u00e9s azonnal megjelen\u00edti az eredm\u00e9nyt.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Wst\u0119p: Koszmar z bloczkami? Nie tym razem! Zadania z bloczkami, znane szerzej jako maszyna Atwooda, to jeden z pierwszych powa\u017cnych sprawdzian\u00f3w z dynamiki. Cho\u0107 uk\u0142ad wydaje si\u0119 prosty \u2013 dwa klocki o r\u00f3\u017cnych masach zawieszone na nici przerzuconej przez kr\u0105\u017cek \u2013 to w\u0142a\u015bnie tutaj wielu uczni\u00f3w i student\u00f3w &#8222;wyk\u0142ada si\u0119&#8221; na znakach (+\/-) i \u017ale [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":3260,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_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},"jetpack_post_was_ever_published":false},"categories":[14815,14816],"tags":[14846,14820,14845,14847],"class_list":["post-3186","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\/2026\/03\/8-1-e1773349619525.jpg?fit=473%2C377&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-Po","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts\/3186","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/comments?post=3186"}],"version-history":[{"count":22,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts\/3186\/revisions"}],"predecessor-version":[{"id":3263,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts\/3186\/revisions\/3263"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/media\/3260"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/media?parent=3186"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/categories?post=3186"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/tags?post=3186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}