{"id":2038,"date":"2023-03-03T14:00:00","date_gmt":"2023-03-03T13:00:00","guid":{"rendered":"https:\/\/technischemechanik.com\/?p=2038"},"modified":"2023-03-03T12:42:14","modified_gmt":"2023-03-03T11:42:14","slug":"stoss-kugel-stoesst-exzentrisch-mit-platte","status":"publish","type":"post","link":"https:\/\/technischemechanik.com\/en\/2023\/03\/03\/stoss-kugel-stoesst-exzentrisch-mit-platte\/","title":{"rendered":"Sto\u00df: Kugel st\u00f6\u00dft exzentrisch mit Platte"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Herzlich Willkommen!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ich hatte \u00fcber YouTube gefragt ob ihr auch alte Aufnahmen haben wollte und die Antwort war ein klares JA. Damit gibt es hier das erste von etlichen Beispielen die noch mit altem Equipment entstanden sind. Die Videoqualit\u00e4t, sowie auch die Aufl\u00f6sung des elektronischen Whiteboards sind nicht ideal, aber die fachlichen Inhalte sind dennoch wie gewohnt. <br><br>In diesem Beispiel geht es um den Sto\u00df einer Kugel mit einer drehbar aufgeh\u00e4ngten Platte. <\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">Eine quadratische Platte der Masse mB ist gem\u00e4\u00df Skizze bei C drehbar aufgeh\u00e4ngt. Im Punkt E im Abstand l von der Aufh\u00e4ngung st\u00f6\u00dft eine Kugel (punktf\u00f6rmige Masse mA) mit der Geschwindigkeit vA1 gegen die anfangs ruhende Platte. Die Sto\u00dfziffer betr\u00e4gt \u03f5. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Geg.: mA=1.2kg, mB=3kg, a=0.6m, l=0.4m, vA1=5ms\u22121, \u03f5=0.8 <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ges.: <br>*Massentr\u00e4gheitsmoment der Platte bezogen auf den Aufh\u00e4ngepunkt C <br>*Winkelgeschwindigkeit der Platte und Geschwindigkeit der Kugel unmittelbar nach dem Sto\u00df *Sto\u00dfantriebe in den Punkten E und C <br>*Energieverlust w\u00e4hrend des Sto\u00dfvorganges <br>*Wie gro\u00df m\u00fcsste die Geschwindigkeit vA1 der Kugel unmittelbar vor dem Sto\u00df sein, damit sich die Platte nach dem Sto\u00df \u00fcberschl\u00e4gt?<\/p>\n<\/blockquote>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"663\" height=\"455\" data-attachment-id=\"2041\" data-permalink=\"https:\/\/technischemechanik.com\/en\/2023\/03\/03\/stoss-kugel-stoesst-exzentrisch-mit-platte\/stoss_2014_05_08-neu\/\" data-orig-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss_2014_05_08-neu.jpg?fit=663%2C455&amp;ssl=1\" data-orig-size=\"663,455\" 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=\"Stoss_2014_05_08-neu\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss_2014_05_08-neu.jpg?fit=663%2C455&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss_2014_05_08-neu.jpg?resize=663%2C455&#038;ssl=1\" alt=\"\" class=\"wp-image-2041\" srcset=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss_2014_05_08-neu.jpg?w=663&amp;ssl=1 663w, https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss_2014_05_08-neu.jpg?resize=300%2C206&amp;ssl=1 300w\" sizes=\"auto, (max-width: 663px) 100vw, 663px\" \/><\/figure>\n<\/div><\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Die Angabe gibt es hier auch zum Download.<\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss-S15.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of Stoss-S15.\"><\/object><a id=\"wp-block-file--media-4e5714be-99df-4f5e-81ca-014eebd2dbbe\" href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss-S15.pdf\">Stoss-S15<\/a><a href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss-S15.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-4e5714be-99df-4f5e-81ca-014eebd2dbbe\">Herunterladen<\/a><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"> <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nachdem hier der innere Sto\u00dfantrieb am Punkt E gefragt ist (c), ist es sinnvoll die beiden Sto\u00dfpartner getrennt zu betrachten. Wir schreiben also f\u00fcr jeden Impuls- und Drehimpulssatz an, sowie die gemeinsame Sto\u00dfhypothese. Damit und mit zwei kinematischen \u00dcberlegungen sowie den Massentr\u00e4gheitsmomenten (auch die Kugel hat um C ein Massentr\u00e4gheitsmoment!) haben wir bereits ein vollst\u00e4ndiges Gleichungsystem vorliegen. Dieses k\u00f6nnen wir direkt l\u00f6sen und uns danach noch Gedanken \u00fcber den Energieverlust bzw. den Fall des \u00dcberschlagens machen. Die Details sind wie gewohnt im Video zu finden. Viel Spa\u00df damit!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-handler-einbetten wp-block-embed-handler-einbetten wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"712\" height=\"401\" src=\"https:\/\/www.youtube.com\/embed\/NmJ7sd7_4F0?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-GB&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Selbstverst\u00e4ndlich gibt es auch wieder den schriftlichen L\u00f6sungsweg als Download. Damit k\u00f6nnt ihr einzelne Rechenschritte leichter vergleichen. <\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/S15-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of S15-1.\"><\/object><a id=\"wp-block-file--media-4e5714be-99df-4f5e-81ca-014eebd2dbbe\" href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/S15-1.pdf\">S15-1<\/a><a href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/S15-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-4e5714be-99df-4f5e-81ca-014eebd2dbbe\">Herunterladen<\/a><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Bei Fragen k\u00f6nnt ihr jederzeit gerne entweder hier oder auf YouTube einen Kommentar hinterlassen. Ich werde alle Kommentare wie immer schnellstm\u00f6glich beantworten. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hat euch das Beispiel und die Erkl\u00e4rung dazu gefallen? Dann lasst bitte auch ein Like auf YouTube da und abonniert diesen Blog. Abonniert auch unbedingt den YouTube Kanal um kein Video mehr zu verpassen und empfehlt mich gerne weiter. Vielen herzlichen Dank!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bis bald und alles Gute,<br>Markus <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"crowdsignal-vote-wrapper\" data-crowdsignal-vote=\"{&quot;pollId&quot;:&quot;455b5e0c-f331-43d3-a592-cc8d4f4d6034&quot;,&quot;title&quot;:&quot;Unbenannte Abstimmung&quot;,&quot;hideBranding&quot;:false,&quot;pollStatus&quot;:&quot;open&quot;,&quot;size&quot;:&quot;medium&quot;,&quot;borderWidth&quot;:1,&quot;borderRadius&quot;:5,&quot;hideResults&quot;:false,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;apiPollData&quot;:{&quot;id&quot;:11844780,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;Unbenannte Abstimmung&quot;,&quot;after_vote&quot;:&quot;results&quot;,&quot;after_message&quot;:&quot;&quot;,&quot;randomize_answers&quot;:false,&quot;restrict_vote_repeat&quot;:false,&quot;captcha&quot;:false,&quot;multiple_choice&quot;:false,&quot;redirect_url&quot;:&quot;&quot;,&quot;close_status&quot;:&quot;open&quot;,&quot;close_after&quot;:false},&quot;answers&quot;:[{&quot;answer_text&quot;:&quot;up&quot;,&quot;id&quot;:53959251,&quot;client_id&quot;:&quot;d5667f32-027e-4631-be77-a98f311ddd25&quot;},{&quot;answer_text&quot;:&quot;down&quot;,&quot;id&quot;:53959252,&quot;client_id&quot;:&quot;65db896a-3d1c-4cf4-90e9-efbc5b828961&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/technischemechanik.com&quot;,&quot;client_id&quot;:&quot;455b5e0c-f331-43d3-a592-cc8d4f4d6034&quot;}}\">\n<div data-crowdsignal-vote-item=\"{&quot;answerId&quot;:&quot;d5667f32-027e-4631-be77-a98f311ddd25&quot;,&quot;type&quot;:&quot;up&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true}}\"><\/div>\n\n<div data-crowdsignal-vote-item=\"{&quot;answerId&quot;:&quot;65db896a-3d1c-4cf4-90e9-efbc5b828961&quot;,&quot;type&quot;:&quot;down&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true}}\"><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"crowdsignal-applause-wrapper\" data-crowdsignal-applause=\"{&quot;pollId&quot;:&quot;c0b767e1-47b5-4dc0-a3d5-76f3bacda917&quot;,&quot;title&quot;:&quot;Unbenannter Applaus&quot;,&quot;answerId&quot;:&quot;e8a232bc-57f1-4fa4-8c99-4926af8f11b8&quot;,&quot;hideBranding&quot;:false,&quot;size&quot;:&quot;medium&quot;,&quot;pollStatus&quot;:&quot;open&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;apiPollData&quot;:{&quot;id&quot;:11844781,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;Unbenannter Applaus&quot;,&quot;after_vote&quot;:&quot;results&quot;,&quot;after_message&quot;:&quot;&quot;,&quot;randomize_answers&quot;:false,&quot;restrict_vote_repeat&quot;:false,&quot;captcha&quot;:false,&quot;multiple_choice&quot;:false,&quot;redirect_url&quot;:&quot;&quot;,&quot;close_status&quot;:&quot;open&quot;,&quot;close_after&quot;:false},&quot;answers&quot;:[{&quot;answer_text&quot;:&quot;clap&quot;,&quot;id&quot;:53959253,&quot;client_id&quot;:&quot;e8a232bc-57f1-4fa4-8c99-4926af8f11b8&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/technischemechanik.com&quot;,&quot;client_id&quot;:&quot;c0b767e1-47b5-4dc0-a3d5-76f3bacda917&quot;}}\"><\/div><\/div>\n<\/div>\n\n\n<div class=\"crowdsignal-feedback-wrapper\" data-crowdsignal-feedback=\"{&quot;feedbackPlaceholder&quot;:&quot;Sag mir bitte was dir besonders gefallen hat und was ich verbessern soll! Vielen Dank!&quot;,&quot;submitText&quot;:&quot;Danke f\\u00fcr dein Feedback!&quot;,&quot;surveyId&quot;:2707661,&quot;emailPlaceholder&quot;:&quot;Your Email&quot;,&quot;emailRequired&quot;:false,&quot;header&quot;:&quot;\\ud83d\\udc4b Hey there!&quot;,&quot;hideBranding&quot;:false,&quot;hideTriggerShadow&quot;:false,&quot;submitButtonLabel&quot;:&quot;Submit&quot;,&quot;toggleOn&quot;:&quot;click&quot;,&quot;triggerLabel&quot;:&quot;Feedback&quot;,&quot;x&quot;:&quot;left&quot;,&quot;y&quot;:&quot;bottom&quot;,&quot;status&quot;:&quot;open&quot;,&quot;emailResponses&quot;:true,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;nonce&quot;:&quot;1f869baffb&quot;}\"><\/div>","protected":false},"excerpt":{"rendered":"<p>Herzlich Willkommen! Ich hatte \u00fcber YouTube gefragt ob ihr auch alte Aufnahmen haben wollte und die Antwort war ein klares JA. Damit gibt es hier das erste von etlichen Beispielen die noch mit altem Equipment entstanden sind. Die Videoqualit\u00e4t, sowie auch die Aufl\u00f6sung des elektronischen Whiteboards sind nicht ideal, aber die fachlichen Inhalte sind dennoch &hellip; <a href=\"https:\/\/technischemechanik.com\/en\/2023\/03\/03\/stoss-kugel-stoesst-exzentrisch-mit-platte\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Sto\u00df: Kugel st\u00f6\u00dft exzentrisch mit Platte<\/span><\/a><\/p>","protected":false},"author":110396568,"featured_media":2044,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":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":[2602546,1145536,2552358],"tags":[129538,25466,2245662,750913297,14741952,35890,350894,166867,47541,22094049,911145,569973948,4288685,122966141,1488390,947685,5685069,775366,662707,720191,1213491,9160793,10126,67765249,73726871,27746161,161115,301853,750913300,172005,2411,122145655,1121513,727213064,82782145,2326513,2121286,2722,462567],"class_list":["post-2038","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ubungsaufgaben","category-dynamik","category-stos","tag-aufgabe","tag-beispiel","tag-beschleunigung","tag-dynamik","tag-einfach-erklart","tag-featured","tag-grundlagen","tag-hochschule","tag-impact","tag-kinetische-energie","tag-klausur","tag-klausuraufgabe","tag-klausurvorbereitung","tag-koordinatentransformation","tag-kugel","tag-losung","tag-lernhilfe","tag-maschine","tag-maschinenbau","tag-mechanik","tag-nachhilfe","tag-onlinekurs","tag-physik","tag-physik-grundlagen","tag-physik-nachhilfe","tag-potentielle-energie","tag-screencast","tag-stab","tag-stos","tag-studieren","tag-studium","tag-studyhelp","tag-technische-mechanik","tag-technische-mechanik-1","tag-technische-mechanik-3","tag-tm-1","tag-tutorium","tag-uni","tag-wiederholung"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2023\/03\/Stoss-S15.png?fit=1280%2C720&ssl=1","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7UJuu-wS","jetpack-related-posts":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/2038","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/users\/110396568"}],"replies":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/comments?post=2038"}],"version-history":[{"count":3,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/2038\/revisions"}],"predecessor-version":[{"id":2069,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/2038\/revisions\/2069"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/media\/2044"}],"wp:attachment":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/media?parent=2038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/categories?post=2038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/tags?post=2038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}