{"id":1422,"date":"2022-07-14T10:00:00","date_gmt":"2022-07-14T08:00:00","guid":{"rendered":"https:\/\/technischemechanik.com\/?p=1422"},"modified":"2022-07-11T21:28:13","modified_gmt":"2022-07-11T19:28:13","slug":"relativkinetik-masse-in-rotierendem-rohr-an-feder","status":"publish","type":"post","link":"https:\/\/technischemechanik.com\/en\/2022\/07\/14\/relativkinetik-masse-in-rotierendem-rohr-an-feder\/","title":{"rendered":"Relativkinetik: Masse in rotierendem Rohr an Feder"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Herzlich Willkommen!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diesmal geht es um eine Variation eines <a href=\"https:\/\/technischemechanik.com\/2022\/04\/18\/relativkinetik-masse-in-rotierendem-rohr\/\" data-type=\"post\" data-id=\"810\">Klassikers der Relativkinetik<\/a>, n\u00e4mlich eine Masse in einem rotierenden Rahmen, welche zus\u00e4tzlich an einem Ende mit einer Feder verbunden ist.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>In einem Rahmen, der sich nach dem vorgegebenen Winkel-Zeit-Gesetz \u03c6(t) in der xy-Ebene um den raumfesten Punkt 0 dreht, kann reibungsfrei eine Masse m gleiten, die mit einer Feder (Federkonstante c) verbunden ist. In der Lage q=L sei die Feder entspannt. <\/p><p>Berechne bezogen auf die Masse m folgende Gr\u00f6\u00dfen: <br>*Ortsvektor des Schwerpunktes <br>*Relativgeschwindigkeit, F\u00fchrungsgeschwindigkeit und Absolutgeschwindigkeit<br>*Relativbeschleunigung, F\u00fchrungsbeschleunigung, Coriolisbeschleunigung, Absolutbeschleunigung <br>*Bewegungsgleichung der Relativbewegung der Masse im rotierenden Bezugssystem.<br>*Normalkraft als Funktion der kinematischen Gr\u00f6\u00dfen und der Masse m<\/p><\/blockquote>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"712\" height=\"371\" data-attachment-id=\"1423\" data-permalink=\"https:\/\/technischemechanik.com\/en\/2022\/07\/14\/relativkinetik-masse-in-rotierendem-rohr-an-feder\/relativkinetik_24-07-2013\/\" data-orig-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/relativkinetik_24-07-2013.jpg?fit=1083%2C564&amp;ssl=1\" data-orig-size=\"1083,564\" 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=\"relativkinetik_24-07-2013\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/relativkinetik_24-07-2013.jpg?fit=712%2C371&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/relativkinetik_24-07-2013.jpg?resize=712%2C371&#038;ssl=1\" alt=\"\" class=\"wp-image-1423\" srcset=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/relativkinetik_24-07-2013.jpg?resize=1024%2C533&amp;ssl=1 1024w, https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/relativkinetik_24-07-2013.jpg?resize=300%2C156&amp;ssl=1 300w, https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/relativkinetik_24-07-2013.jpg?resize=768%2C400&amp;ssl=1 768w, https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/relativkinetik_24-07-2013.jpg?resize=1080%2C562&amp;ssl=1 1080w, https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/relativkinetik_24-07-2013.jpg?w=1083&amp;ssl=1 1083w\" sizes=\"auto, (max-width: 712px) 100vw, 712px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Und wie immer die Angabe 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\/2022\/07\/Relativkinetik_R06.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of Einbettung von Relativkinetik_R06..\"><\/object><a id=\"wp-block-file--media-48c4727c-8c47-4f76-bf95-4e0c62853d74\" href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/Relativkinetik_R06.pdf\">Relativkinetik_R06<\/a><a href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/07\/Relativkinetik_R06.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-48c4727c-8c47-4f76-bf95-4e0c62853d74\">Herunterladen<\/a><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Wir stellen zuallererst, wie in der Angabe gefordert, den Ortsvektor f\u00fcr die Masse auf. Dann k\u00f6nnen wir aus Relativ- und F\u00fchrungsgeschwindigkeit den Vektor der Absolut-geschwindigkeit, sowie aus den Beschleunigungskomponenten eben den Absolut-beschleunigungsvektor berechnen. Mit Hilfe des Schwerpunktsatzes erhalten wir schlie\u00dflich die Bewegungsgleichung f\u00fcr die Masse und k\u00f6nnen auch die Normalkraft auf die Masse bestimmen. Eine genaue Anleitung dazu mit den \u00fcblichen weiterf\u00fchrenden Erkl\u00e4rungen findest du im angeh\u00e4ngten Video. <\/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\/2NIyzhZyB1I?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\">Bei Fragen oder Anmerkungen zu Beispiel oder Rechenweg bitte einfach hier oder auf YouTube einen Kommentar hinterlassen. Ich freue mich auf eure R\u00fcckmeldungen und beantworte gerne alle Fragen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hat euch das Video gefallen? Dann lasst bitte ein Like hier auf dem Blog und auf YouTube da. Abonniert auch unbedingt den Kanal um kein Video mehr zu verpassen. Vielen Dank!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bis bald,<br>Markus <\/p>\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! 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Diesmal geht es um eine Variation eines Klassikers der Relativkinetik, n\u00e4mlich eine Masse in einem rotierenden Rahmen, welche zus\u00e4tzlich an einem Ende mit einer Feder verbunden ist. In einem Rahmen, der sich nach dem vorgegebenen Winkel-Zeit-Gesetz \u03c6(t) in der xy-Ebene um den raumfesten Punkt 0 dreht, kann reibungsfrei eine Masse m gleiten, die &hellip; <a href=\"https:\/\/technischemechanik.com\/en\/2022\/07\/14\/relativkinetik-masse-in-rotierendem-rohr-an-feder\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Relativkinetik: Masse in rotierendem Rohr an Feder<\/span><\/a><\/p>","protected":false},"author":110396568,"featured_media":349,"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":"In einem Rahmen, der sich nach dem vorgegebenen Winkel-Zeit-Gesetz \u03c6(t) in der xy-Ebene um den raumfesten Punkt 0 dreht, kann reibungsfrei eine Masse m gleiten, die mit einer Feder (Federkonstante c) verbunden ist. In der Lage q=L sei die Feder entspannt. \nBerechne bezogen auf die Masse m folgende Gr\u00f6\u00dfen: \n*Ortsvektor des Schwerpunktes \n*Relativgeschwindigkeit, F\u00fchrungsgeschwindigkeit und Absolutgeschwindigkeit\n*Relativbeschleunigung, F\u00fchrungsbeschleunigung, Coriolisbeschleunigung, Absolutbeschleunigung \n*Bewegungsgleichung der Relativbewegung der Masse im rotierenden Bezugssystem.\n*Normalkraft als Funktion der kinematischen Gr\u00f6\u00dfen und der Masse m","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":[2602546,1145536,727213054],"tags":[25466,2245662,7978,750913297,14741952,100678,35890,750913306,350894,166867,5481156,911145,113216,19668,8207,5685069,662707,21322,720191,1213491,143003,10126,67765249,73726871,727213065,727213063,750913305,161115,750913295,2411,1121513,727213064,82782145,4159057,13416281,1097356,2722,33601,202894,1268153],"class_list":["post-1422","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ubungsaufgaben","category-dynamik","category-relativkinetik","tag-beispiel","tag-beschleunigung","tag-bildung","tag-dynamik","tag-einfach-erklart","tag-einfuhrung","tag-featured","tag-freikorperbild","tag-grundlagen","tag-hochschule","tag-kinetik","tag-klausur","tag-kraft","tag-lehrer","tag-lernen","tag-lernhilfe","tag-maschinenbau","tag-mathematik","tag-mechanik","tag-nachhilfe","tag-newton","tag-physik","tag-physik-grundlagen","tag-physik-nachhilfe","tag-relative-kinetics","tag-relativkinematik","tag-relativkinetik","tag-screencast","tag-statik","tag-studium","tag-technische-mechanik","tag-technische-mechanik-1","tag-technische-mechanik-3","tag-the-mechanik","tag-tm-3","tag-tm1","tag-uni","tag-universitat","tag-vektoren","tag-verstehen"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2021\/12\/relativkinetik-wordpress.png?fit=512%2C512&ssl=1","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7UJuu-mW","jetpack-related-posts":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/1422","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=1422"}],"version-history":[{"count":2,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/1422\/revisions"}],"predecessor-version":[{"id":1426,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/1422\/revisions\/1426"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/media\/349"}],"wp:attachment":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/media?parent=1422"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/categories?post=1422"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/tags?post=1422"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}