{"id":4007,"date":"2018-06-25T04:57:43","date_gmt":"2018-06-25T04:57:43","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=4007"},"modified":"2024-08-22T12:43:03","modified_gmt":"2024-08-22T12:43:03","slug":"dinamica-10-mhs","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/formulario\/dinamica-10-mhs\/","title":{"rendered":"Din\u00e2mica 10 – MHS"},"content":{"rendered":"

Formul\u00e1rio completo de F\u00edsica com informa\u00e7\u00f5es \u00fateis <\/b><\/span><\/span><\/span><\/p>\n

(dicas para vestibulares)<\/b><\/span><\/span><\/span><\/p>\n

Din\u00e2mica 10<\/b><\/span><\/span><\/span><\/p>\n

Movimento Harm\u00f4nico Simples (MHS) \u2013 P\u00eandulo Simples<\/b><\/span><\/span><\/span><\/p>\n

Fun\u00e7\u00e3o hor\u00e1ria da elonga\u00e7\u00e3o<\/span><\/span><\/span><\/p>\n

<\/p>\n

Fun\u00e7\u00e3o hor\u00e1ria da velocidade<\/span><\/span><\/span><\/p>\n

<\/p>\n

Gr\u00e1fico da velocidade em fun\u00e7\u00e3o do tempo.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Observe, na\u00a0figura abaixo<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>que, enquanto a\u00a0part\u00edcula se move em MCU<\/b><\/span><\/span> de\u00a0\u03c6 = 0 at\u00e9\u00a0\u03c6 = \u03c0 rad<\/b><\/span><\/span>, a\u00a0<\/b><\/span><\/span>velocidade do MHS (proje\u00e7\u00e3o da velocidade do MCU sobre X) \u00e9 sempre <\/b><\/span><\/span>negativa pois \u00e9 <\/b><\/span><\/span>contr\u00e1ria a<\/b><\/span><\/span><\/span><\/span><\/p>\n

<\/p>\n

orienta\u00e7\u00e3o positiva de X. <\/b><\/span><\/span>que: <\/b><\/span><\/span>V<\/b><\/span><\/span>1 <\/b><\/span><\/sub><\/span>= 0 e V<\/b><\/span><\/span>5 <\/b><\/span><\/sub><\/span>= 0\u00a0 <\/b><\/span><\/span>(proje\u00e7\u00e3o sobre X \u00e9 nula) <\/b><\/span><\/span>e que V<\/b><\/span><\/span>3<\/b><\/span><\/sub><\/span>\u00a0tem m\u00f3dulo m\u00e1ximo e valor m\u00ednimo.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Analogamente, <\/b><\/span><\/span>quando a<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>part\u00edcula se move em\u00a0<\/b><\/span><\/span>MCU de\u00a0\u03c0 rad at\u00e9 2\u03c0 rad<\/b><\/span><\/span>\u00a0sua <\/b><\/span><\/span>velocidade \u00e9 <\/b><\/span><\/span>sempre\u00a0<\/b><\/span><\/span>positiva e tem valor m\u00e1ximo em X=0 e \u00e9 nula nos extremos.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Fun\u00e7\u00e3o hor\u00e1ria da acelera\u00e7\u00e3o<\/span><\/span><\/span><\/p>\n

<\/p>\n

MHS \u2013 SISTEMA MASSA-MOLA<\/b><\/span><\/span><\/span><\/p>\n

Per\u00edodo\u00a0T\u00a0do MHS realizado pelo <\/b><\/span><\/span><\/span>sistema massa-mola<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Energia no MHS no plano horizontal<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

P\u00eandulo Simples <\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Informa\u00e7\u00f5es \u00fateis <\/b><\/span><\/span><\/span>(dicas)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

A <\/b><\/span><\/span><\/span>express\u00e3o acima s\u00f3 \u00e9 v\u00e1lida <\/b><\/span><\/span><\/span>se p\u00eandulo <\/b><\/span><\/span><\/span>efetuar oscila\u00e7\u00f5es<\/b><\/span><\/span><\/span> de <\/b><\/span><\/span><\/span>pequena abertura\u00a0(no m\u00e1ximo 15<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>)<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

O<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>per\u00edodo T<\/b><\/span><\/span> de um p\u00eandulo simples\u00a0<\/b><\/span><\/span>independe da amplitude<\/b><\/span><\/span>,<\/b><\/span><\/span> <\/b>ou seja,\u00a0da <\/b><\/span><\/span>altura em que m \u00e9 abandonada.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Assim, os\u00a0p\u00eandulos <\/b><\/span><\/span>da <\/b><\/span><\/span>figura abaixo, <\/b><\/span><\/span>tanto na\u00a0<\/b><\/span><\/span>situa\u00e7\u00e3o 1 como na 2,<\/b><\/span><\/span>demoram o\u00a0<\/b><\/span><\/span>mesmo tempo<\/b><\/span><\/span> para<\/b><\/span><\/span><\/span><\/span><\/p>\n

<\/p>\n

ir de A at\u00e9 B, de B at\u00e9 C, de C at\u00e9 B e de B at\u00e9 A.<\/b><\/span><\/span><\/span><\/span><\/p>\n

<\/p>\n

O\u00a0<\/b><\/span><\/span>per\u00edodo<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>T<\/b><\/span><\/span>\u00a0de um p\u00eandulo simples \u00e9\u00a0<\/b><\/span><\/span>diretamente proporcional \u00e0 raiz quadrada de seu\u00a0comprimento L.<\/b><\/span><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Formul\u00e1rio completo de F\u00edsica com informa\u00e7\u00f5es \u00fateis (dicas para vestibulares) Din\u00e2mica 10 Movimento Harm\u00f4nico Simples (MHS) \u2013 P\u00eandulo Simples Fun\u00e7\u00e3o hor\u00e1ria da elonga\u00e7\u00e3o Fun\u00e7\u00e3o hor\u00e1ria da velocidade Gr\u00e1fico da velocidade em fun\u00e7\u00e3o do tempo. Observe, na\u00a0figura abaixo\u00a0que, enquanto a\u00a0part\u00edcula se move em MCU de\u00a0\u03c6 = 0 at\u00e9\u00a0\u03c6 = \u03c0 rad, a\u00a0velocidade do MHS (proje\u00e7\u00e3o da velocidade do MCU sobre X)<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3987,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-4007","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4007","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/comments?post=4007"}],"version-history":[{"count":1,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4007\/revisions"}],"predecessor-version":[{"id":4008,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4007\/revisions\/4008"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3987"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=4007"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}