{"id":1515,"date":"2022-08-25T19:45:00","date_gmt":"2022-08-25T17:45:00","guid":{"rendered":"https:\/\/technischemechanik.com\/?p=1515"},"modified":"2022-08-25T17:42:24","modified_gmt":"2022-08-25T15:42:24","slug":"relativkinetik-person-auf-platte-rollen","status":"publish","type":"post","link":"https:\/\/technischemechanik.com\/de\/2022\/08\/25\/relativkinetik-person-auf-platte-rollen\/","title":{"rendered":"Relativkinetik: Person auf Platte &#038; Rollen"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Herzlich Willkommen!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Wir sehen uns in diesem Beitrag ein Beispiel zur Relativkinetik an, welches ein wenig un\u00fcblich ist. Warum, das werden wir im Verlauf des Beispiels kl\u00e4ren. <\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">Ein Mann der Masse m1 bewegt sich lt. Skizze mit konstanter Relativbeschleunigung arel auf einem Brett der Masse m2. Das Brett liegt auf zwei Rollen mit jeweils Radius r, Masse m3 und Massentr\u00e4gheitsmoment J. Die Walzen st\u00fctzen sich am Boden ab und rollen bei der Bewegung ohne zu rutschen. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Geg.: arel, m1, m2, m3, J, r <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bestimme: <br>*die Absolutgeschwindigkeit v2(t) des Brettes. Dabei gilt v2(t=0)=0. <br>*die Absolutgeschwindigkeit v1(t) des Mannes.<\/p>\n<cite>Quelle: Aufgabe D33 (S. 353f) aus J. Berger, Klausurentrainer Technische Mechanik, 2008, Vieweg+Teubner, Wiesbaden<\/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=\"651\" height=\"476\" data-attachment-id=\"1516\" data-permalink=\"https:\/\/technischemechanik.com\/de\/2022\/08\/25\/relativkinetik-person-auf-platte-rollen\/relativkinetik_2014_03_06\/\" data-orig-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/08\/relativkinetik_2014_03_06.jpg?fit=651%2C476&amp;ssl=1\" data-orig-size=\"651,476\" 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_2014_03_06\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/08\/relativkinetik_2014_03_06.jpg?fit=651%2C476&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/08\/relativkinetik_2014_03_06.jpg?resize=651%2C476&#038;ssl=1\" alt=\"\" class=\"wp-image-1516\" srcset=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/08\/relativkinetik_2014_03_06.jpg?w=651&amp;ssl=1 651w, https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/08\/relativkinetik_2014_03_06.jpg?resize=300%2C219&amp;ssl=1 300w\" sizes=\"auto, (max-width: 651px) 100vw, 651px\" \/><\/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\/08\/Relativkinetik_R11.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Einbettung von Einbettung von Relativkinetik_R11..\"><\/object><a id=\"wp-block-file--media-48c4727c-8c47-4f76-bf95-4e0c62853d74\" href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/08\/Relativkinetik_R11.pdf\">Relativkinetik_R11<\/a><a href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/08\/Relativkinetik_R11.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\">Die Andersartigkeit dieses Beispiels liegt daran, dass es sinnvoll ist Schwerpunkt- und Momentens\u00e4tze als Ausgangspunkt f\u00fcr die Berechnung zu verwenden, \u00e4hnlich wie im Beispiel <a href=\"https:\/\/technischemechanik.com\/2021\/12\/15\/relativkinetik-block-rutscht-auf-keil\/\" data-type=\"post\" data-id=\"446\">Block rutscht auf Keil<\/a>. Sonst gehen wir ja in der Relativkinetik oft von den Geschwindigkeits- und Beschleunigungszusammenh\u00e4ngen aus und nutzen erst zum Schluss Schwerpunkt- und Momentenss\u00e4tze. Wir machen uns zwar auch hier zu Beginn Gedanken \u00fcber die Kinematik, aber diese fallen sehr einfach aus. Ausgangspunkt ist daher ein sauberes Freik\u00f6rperbild in dem wir s\u00e4mtliche Kr\u00e4fte und dynamischen Gr\u00f6\u00dfen notieren. Darauf aufbauend lassen sich dann alle Schwerpunkt- und Momentens\u00e4tze f\u00fcr die Teile des Systems aufstellen. Damit k\u00f6nnen wir anschlie\u00dfend bereits die Beschleunigung f\u00fcr das Brett berechnen. Diese f\u00fchrt uns auf direktem Wege, durch Zeitintegration, zur Geschwindigkeit des Bretts und schlie\u00dflich \u00fcber die Kinematik zur Geschwindigkeit der Person am Brett. Alle Details gibt es nat\u00fcrlich wieder im verlinkten Video. 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\/6b9HW4e0wRE?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 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! Vielen Dank!&quot;,&quot;submitText&quot;:&quot;Danke f\\u00fcr dein Feedback!&quot;,&quot;surveyId&quot;:2705235,&quot;title&quot;:&quot;Feedback&quot;,&quot;emailResponses&quot;:false,&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;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;nonce&quot;:&quot;8688362f7d&quot;}\"><\/div>\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\" style=\"flex-basis:50%\"><div class=\"crowdsignal-vote-wrapper\" data-crowdsignal-vote=\"{&quot;pollId&quot;:&quot;29311620-3302-4a28-8c62-34c614948b60&quot;,&quot;title&quot;:&quot;Unbenannte Abstimmung 20&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;:11185408,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;Unbenannte Abstimmung 20&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;:51160154,&quot;client_id&quot;:&quot;4ae8e890-5309-41a3-bae2-719a23a5da36&quot;},{&quot;answer_text&quot;:&quot;down&quot;,&quot;id&quot;:51160155,&quot;client_id&quot;:&quot;b583d8b0-1c19-492c-a781-9f4dfba236ce&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/technischemechanik.com&quot;,&quot;client_id&quot;:&quot;29311620-3302-4a28-8c62-34c614948b60&quot;}}\">\n<div data-crowdsignal-vote-item=\"{&quot;answerId&quot;:&quot;4ae8e890-5309-41a3-bae2-719a23a5da36&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;b583d8b0-1c19-492c-a781-9f4dfba236ce&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\" style=\"flex-basis:50%\"><div class=\"crowdsignal-applause-wrapper\" data-crowdsignal-applause=\"{&quot;pollId&quot;:&quot;94052372-60ee-4246-bdb3-b44cfaeeec3b&quot;,&quot;title&quot;:&quot;Unbenannter Applaus&quot;,&quot;answerId&quot;:&quot;4951fcb8-b48f-428e-82e4-90330cd7aed6&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;:11185409,&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;:51160156,&quot;client_id&quot;:&quot;4951fcb8-b48f-428e-82e4-90330cd7aed6&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/technischemechanik.com&quot;,&quot;client_id&quot;:&quot;94052372-60ee-4246-bdb3-b44cfaeeec3b&quot;}}\"><\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Herzlich Willkommen! Wir sehen uns in diesem Beitrag ein Beispiel zur Relativkinetik an, welches ein wenig un\u00fcblich ist. Warum, das werden wir im Verlauf des Beispiels kl\u00e4ren. Ein Mann der Masse m1 bewegt sich lt. Skizze mit konstanter Relativbeschleunigung arel auf einem Brett der Masse m2. Das Brett liegt auf zwei Rollen mit jeweils Radius &hellip; <a href=\"https:\/\/technischemechanik.com\/de\/2022\/08\/25\/relativkinetik-person-auf-platte-rollen\/\" class=\"more-link\"><span class=\"screen-reader-text\">Relativkinetik: Person auf Platte &#038; Rollen<\/span> weiterlesen<\/a><\/p>\n","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":"","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-1515","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-or","jetpack-related-posts":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/posts\/1515","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=1515"}],"version-history":[{"count":3,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/posts\/1515\/revisions"}],"predecessor-version":[{"id":1520,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/posts\/1515\/revisions\/1520"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/media\/349"}],"wp:attachment":[{"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/media?parent=1515"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/categories?post=1515"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/technischemechanik.com\/de\/wp-json\/wp\/v2\/tags?post=1515"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}