{"id":1458,"date":"2022-07-28T11:45:00","date_gmt":"2022-07-28T09:45:00","guid":{"rendered":"https:\/\/technischemechanik.com\/?p=1458"},"modified":"2022-07-28T11:13:13","modified_gmt":"2022-07-28T09:13:13","slug":"stoss-physikalisches-pendel-trifft-auf-wand","status":"publish","type":"post","link":"https:\/\/technischemechanik.com\/de\/2022\/07\/28\/stoss-physikalisches-pendel-trifft-auf-wand\/","title":{"rendered":"Sto\u00df: Physikalisches Pendel trifft auf Wand"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Herzlich Willkommen!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Im Sto\u00dfbeispiel, dass wir uns f\u00fcr heute vornehmen m\u00f6chten, geht es um ein physikalisches Pendel mit einer Pendelkugel. Diese Pendelkugel wird aus der Ruhe losgelassen und trifft am tiefsten Punkt an eine Wand. Der Sto\u00dfvorgang selbst hat dabei eine definierte Sto\u00dfziffer \u03b5, ist also weder vollkommen elastisch noch vollkommen plastisch.<\/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\"><p>Das abgebildete Pendel besteht aus einer Vollkugel mit Radius r und Masse mK und einem schlanken Stab mit L\u00e4nge l und Masse mS. Ein Ende des Stabes ist in A mit Abstand r zur Wand frei drehbar gelagert. Das Pendel wird in der Winkellage \u03b8=\u03b81 aus der Ruhe freigegeben. Die Sto\u00dfziffer ist \u03b5. <\/p><p>Geg.: mK=50kg,mS=20kg,l=2m,r=0.3m,\u03b5=0.6,\u03b81=0\u2218 <\/p><p>Bestimme den Winkel \u03b8=\u03b82, bis zu dem das Pendel zur\u00fcckschwingt nachdem es an der Wand angesto\u00dfen ist.<span style=\"font-size:revert;color:initial;\"> <\/span><\/p><cite>Quelle: Aufgabe 8.52 (S. 582) aus Russell C. Hibbeler, Technische Mechanik 3 Dynamik, 2012 Pearson Deutschland GmbH<\/cite><\/blockquote>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"605\" height=\"397\" data-attachment-id=\"1459\" data-permalink=\"https:\/\/technischemechanik.com\/de\/2022\/07\/28\/stoss-physikalisches-pendel-trifft-auf-wand\/stoss_2015_05_11\/\" data-orig-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/stoss_2015_05_11.jpg?fit=605%2C397&amp;ssl=1\" data-orig-size=\"605,397\" 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_2015_05_11\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/stoss_2015_05_11.jpg?fit=605%2C397&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/stoss_2015_05_11.jpg?resize=605%2C397&#038;ssl=1\" alt=\"\" class=\"wp-image-1459\" srcset=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/stoss_2015_05_11.jpg?w=605&amp;ssl=1 605w, https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/stoss_2015_05_11.jpg?resize=300%2C197&amp;ssl=1 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/figure>\n<\/div><\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Die Angabe gibt es wie gewohnt zum Download. Somit k\u00f6nnt ihr das Beispiel zuerst selbst rechnen und dann mit der Musterl\u00f6sung 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\/2022\/07\/Stoss-S21.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Einbettung von Einbettung von Stoss-S21..\"><\/object><a id=\"wp-block-file--media-4e5714be-99df-4f5e-81ca-014eebd2dbbe\" href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/Stoss-S21.pdf\">Stoss-S21<\/a><a href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/Stoss-S21.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\">Wir k\u00f6nnen in diesem Fall die Winkelgeschwindigkeit des Pendels unmittelbar vor dem Sto\u00df mittels Energieerhaltung sehr einfach berechnen. F\u00fcr den Sto\u00dfvorgang selbst ist dann nur noch die Newton&#8217;sche Sto\u00dfhypothese &#8211; also das Verh\u00e4ltnis aus relativer Trennungsgeschwindigkeit zu relativer Ann\u00e4herungsgeschwindigkeit &#8211; relevant, sowie eine kinematische \u00dcberlegung aus der wir die Geschwindigkeiten am Sto\u00dfpunkt selbst erhalten. Damit l\u00e4sst sich die Winkelgeschwindigkeit des Pendels unmittelbar nach dem Sto\u00df berechnen. Zum Schluss k\u00f6nnen wir dann wieder Energieerhaltung anwenden und damit bestimmen wie weit das Pendel zur\u00fcckschwingt. Schritt f\u00fcr Schritt und anschaulich erkl\u00e4rt gibt es das ganze wieder im verlinkten Video. Viel Spa\u00df dabei!<\/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\/zoF44YyR0Ok?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=de-DE&#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\">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 mit dem n\u00e4chsten Beispiel,<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;:11166873,&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;:51098846,&quot;client_id&quot;:&quot;d5667f32-027e-4631-be77-a98f311ddd25&quot;},{&quot;answer_text&quot;:&quot;down&quot;,&quot;id&quot;:51098847,&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;:11166874,&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;:51098848,&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;Deine E-Mail-Adresse&quot;,&quot;emailRequired&quot;:false,&quot;header&quot;:&quot;\\ud83d\\udc4b Hallo!&quot;,&quot;hideBranding&quot;:false,&quot;hideTriggerShadow&quot;:false,&quot;submitButtonLabel&quot;:&quot;Senden&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;77006c9619&quot;}\"><\/div>","protected":false},"excerpt":{"rendered":"<p>Herzlich Willkommen! Im Sto\u00dfbeispiel, dass wir uns f\u00fcr heute vornehmen m\u00f6chten, geht es um ein physikalisches Pendel mit einer Pendelkugel. Diese Pendelkugel wird aus der Ruhe losgelassen und trifft am tiefsten Punkt an eine Wand. Der Sto\u00dfvorgang selbst hat dabei eine definierte Sto\u00dfziffer \u03b5, ist also weder vollkommen elastisch noch vollkommen plastisch. Das abgebildete Pendel &hellip; <a href=\"https:\/\/technischemechanik.com\/de\/2022\/07\/28\/stoss-physikalisches-pendel-trifft-auf-wand\/\" class=\"more-link\"><span class=\"screen-reader-text\">Sto\u00df: Physikalisches Pendel trifft auf Wand<\/span> weiterlesen<\/a><\/p>\n","protected":false},"author":110396568,"featured_media":569,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","_crdt_document":"","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_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":[129538,25466,2245662,750913297,14741952,350894,166867,47541,22094049,911145,569973948,4288685,122966141,1488390,947685,5685069,775366,662707,720191,1213491,9160793,10126,67765249,73726871,27746161,161115,301853,750913300,172005,2411,122145655,1121513,727213064,82782145,2326513,2121286,2722,462567],"class_list":["post-1458","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-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\/2021\/12\/wordpress-thumbnail-stoss-512-x-512-px.png?fit=512%2C512&ssl=1","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7UJuu-nw","jetpack-related-posts":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/posts\/1458","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/users\/110396568"}],"replies":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/comments?post=1458"}],"version-history":[{"count":3,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/posts\/1458\/revisions"}],"predecessor-version":[{"id":1463,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/posts\/1458\/revisions\/1463"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/media\/569"}],"wp:attachment":[{"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/media?parent=1458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/categories?post=1458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/tags?post=1458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}