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Determinar o domínio da relação entre a espessura da chapa e o diâmetro do rebite em uma junta simplesmente cisalhada, para que somente o dimensionamento ao cisalhamento seja suficiente no projeto da junta.

","status","pending_classification","hasRelatedVideo","relatedVideos",[97],{"_98":99,"_117":118,"_52":133,"_168":169,"_186":134},"content",{"_44":100,"_58":101,"_102":-5,"_103":104,"_105":106,"_107":-5,"_46":108,"_111":112,"_113":112,"_114":-5,"_115":116},"468e3e62-35e0-47be-a15f-68dd43bb32bb","Óptica Geométrica - Parte 1","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","fa6aaf42-4cc4-4d76-8915-7a67081f7e9a","user_id",{"_109":110},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_119":120,"_126":127,"_128":129,"_130":131,"_28":132},"provider",{"_44":121,"_122":123,"_124":125},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","d80487a0-0f98-42c8-99bb-551165ba3068","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/d80487a0-0f98-42c8-99bb-551165ba3068/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/d80487a0-0f98-42c8-99bb-551165ba3068/levels.m3u8",[134],{"_44":135,"_58":136,"_60":137,"_138":139,"_140":-5,"_111":141,"_113":141,"_46":142,"_115":137,"_149":150},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","2025-04-29T01:56:45.284172+00:00",{"_143":144,"_145":146,"_147":148},"childrenCount",18,"content_count",0,"question_count",135489,"children",[151],{"_44":152,"_58":153,"_60":154,"_138":139,"_140":135,"_111":155,"_113":155,"_46":156,"_115":159,"_149":160},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_143":157,"_145":146,"_147":158},10,19948,"mecanica-2",[161],{"_44":162,"_58":59,"_60":61,"_138":139,"_140":152,"_111":163,"_113":163,"_46":164,"_115":166,"_149":167},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_143":146,"_145":146,"_147":165},3376,"resistencia-dos-materiais-4",[],"video",{"_44":106,"_13":101,"_102":-5,"_170":171,"_172":173,"_28":-5,"_174":-5,"_119":173,"_175":176,"_130":-5,"_177":-5,"_178":-5,"_179":-5,"_180":-5,"_46":181,"_182":146,"_183":-5,"_92":184,"_111":185,"_113":185},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_109":110},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[189,222,240],{"_40":190,"_42":43,"_44":191,"_78":192,"_89":210,"_90":211,"_52":212},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[193,196,199,203,207],{"_44":194,"_81":82,"_83":195},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":197,"_81":87,"_83":198},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":200,"_81":201,"_83":202},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_44":204,"_81":205,"_83":206},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_44":190,"_81":208,"_83":209},"E","y'' - 2y' + 6y = 0","Somente em y''−2y'+6y=0 o polinômio característico r²−2r+6=0 tem Δ<0, gerando raízes complexas conjugadas (1±i√5) e, portanto, solução em termos de exponencial modulando seno e cosseno. Nos demais itens (a–d) o discriminante é ≥0, produzindo raízes reais (distintas ou repetidas).","

Resolva as seguintes EDOs determinando a solução geral e, quando houver condições iniciais do PVI, a solução particular.

(a) y'' + 2y' - 3y = 0

(b) 6y'' - y' - y = 0

(d) 9y'' + 6y' + y = 0

(e) y'' - 2y' + 6y = 0

(f) 4y'' + 9y = 0

(g) 6y'' - 5y' + y = 0; \\, y(0) = 4; \\, y'(0) = 0

(h) y'' + 4y' + 4y = 0; \\, y(-1) = 2; \\, y'(-1) = 1

(i) y'' + y = 0; \\, y\bigg(\\frac{\\pi}{3}\\bigg) = 2; \\, y'\\bigg(\\frac{\\pi}{3}\\bigg) = -4

(j) y'' - 2y' - 3y = 3e^{2t}

(k) y'' + 9y = t^2 e^{3t} + 6

(l) 2y'' + 3y' + y = t^2 + 3 \\sin(t)

(m) y'' + y' - 2y = 2t; \\, y(0) = 0; \\, y'(0) = 1

(n) y'' - 2y' + y = te^t + 4; \\, y(0) = 1; \\, y'(0) = 1

(o) y'' + 4y = 3 \\sin(2t); \\, y(0) = 2; \\, y'(0) = -1

",[213],{"_44":214,"_58":215,"_60":216,"_138":139,"_140":217,"_111":218,"_113":218,"_46":219,"_115":216},"6516bbbd-f2a3-4710-8382-702240b17836","Mecânica na Engenharia de Petróleo","mecanica-na-engenharia-de-petroleo","b787e438-0ab3-454c-ab43-5d3d14c2720d","2025-04-29T03:44:35.328997+00:00",{"_143":220,"_145":146,"_147":221},4,12302,{"_40":223,"_42":43,"_44":224,"_78":225,"_89":237,"_90":238,"_52":239},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[226,229,232,234],{"_44":227,"_81":82,"_83":228},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":230,"_81":87,"_83":231},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":223,"_81":201,"_83":233},"

Verdadeiro, falso, verdadeiro

",{"_44":235,"_81":205,"_83":236},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","85,5 % decomposto → 14,5 % restante.\nN/N0 = 0,145 ⇒ t = ln(1/0,145)/(ln2/5730) ≈ 1,6×10⁴ anos.\nItens prováveis: (1) resta 14,5 % do C-14 (V); (2) idade ≈ 1,2×10⁴ anos ou 3 meias-vidas (F); (3) t½ do C-14 = 5730 anos (V). Sequência: V-F-V, correspondendo à alternativa c.","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

",[213],{"_40":241,"_42":43,"_44":242,"_78":243,"_89":258,"_90":259,"_52":260},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[244,247,250,252,255],{"_44":245,"_81":82,"_83":246},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_44":248,"_81":87,"_83":249},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_44":241,"_81":201,"_83":251},"Indeterminado",{"_44":253,"_81":205,"_83":254},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_44":256,"_81":208,"_83":257},"2e06d948-d37e-4350-afc7-ced04941bcaf","Nenhum","Os polinômios e números fornecidos estão corrompidos (símbolos “????”), impossibilitando aplicar Ruffini e concluir se são raízes. Sem dados completos, o problema é indeterminado.","Emplea la regla de Ruffini para dictaminar si los siguientes números son o no raíces de los polinomios citados:
a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[213],[213,262,271,277,281,282,283,291,296,304,305,310,316],{"_44":263,"_58":264,"_60":265,"_138":139,"_140":266,"_111":155,"_113":155,"_46":267,"_115":270},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_143":268,"_145":146,"_147":269},5,30614,"engenharia-mecatronica-1",{"_44":272,"_58":59,"_60":61,"_138":139,"_140":273,"_111":274,"_113":274,"_46":275,"_115":276},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_143":146,"_145":146,"_147":165},"resistencia-dos-materiais-6",{"_44":273,"_58":153,"_60":154,"_138":139,"_140":263,"_111":218,"_113":218,"_46":278,"_115":280},{"_143":268,"_145":146,"_147":279},25741,"mecanica-3",{"_44":135,"_58":136,"_60":137,"_138":139,"_140":-5,"_111":141,"_113":141,"_46":142,"_115":137},{"_44":162,"_58":59,"_60":61,"_138":139,"_140":152,"_111":163,"_113":163,"_46":164,"_115":166},{"_44":284,"_58":285,"_60":286,"_138":139,"_140":266,"_111":155,"_113":155,"_46":287,"_115":290},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_143":288,"_145":146,"_147":289},21,45865,"engenharia-civil-3",{"_44":217,"_58":292,"_60":293,"_138":139,"_140":266,"_111":155,"_113":155,"_46":294,"_115":295},"Engenharia de Petróleo","engenharia-de-petroleo",{"_143":268,"_145":146,"_147":221},"engenharia-de-petroleo-1",{"_44":297,"_58":298,"_60":299,"_138":139,"_140":284,"_111":300,"_113":300,"_46":301,"_115":303},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_143":268,"_145":146,"_147":302},8852,"estruturas-1",{"_44":152,"_58":153,"_60":154,"_138":139,"_140":135,"_111":155,"_113":155,"_46":156,"_115":159},{"_44":306,"_58":59,"_60":61,"_138":139,"_140":214,"_111":307,"_113":307,"_46":308,"_115":309},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_143":146,"_145":146,"_147":165},"resistencia-dos-materiais-7",{"_44":311,"_58":312,"_60":61,"_138":139,"_140":297,"_111":313,"_113":313,"_46":314,"_115":315},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_143":146,"_145":146,"_147":165},"resistencia-dos-materiais-5",{"_44":266,"_58":317,"_60":318,"_138":139,"_140":-5,"_111":319,"_113":319,"_46":320,"_115":318},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_143":321,"_145":146,"_147":322},29,351586,"tagsTree",[134,325],{"_44":266,"_58":317,"_60":318,"_138":139,"_140":-5,"_111":319,"_113":319,"_46":320,"_115":318,"_149":326},[327,333,339],{"_44":263,"_58":264,"_60":265,"_138":139,"_140":266,"_111":155,"_113":155,"_46":267,"_115":270,"_149":328},[329],{"_44":273,"_58":153,"_60":154,"_138":139,"_140":263,"_111":218,"_113":218,"_46":278,"_115":280,"_149":330},[331],{"_44":272,"_58":59,"_60":61,"_138":139,"_140":273,"_111":274,"_113":274,"_46":275,"_115":276,"_149":332},[],{"_44":284,"_58":285,"_60":286,"_138":139,"_140":266,"_111":155,"_113":155,"_46":287,"_115":290,"_149":334},[335],{"_44":297,"_58":298,"_60":299,"_138":139,"_140":284,"_111":300,"_113":300,"_46":301,"_115":303,"_149":336},[337],{"_44":311,"_58":312,"_60":61,"_138":139,"_140":297,"_111":313,"_113":313,"_46":314,"_115":315,"_149":338},[],{"_44":217,"_58":292,"_60":293,"_138":139,"_140":266,"_111":155,"_113":155,"_46":294,"_115":295,"_149":340},[341],{"_44":214,"_58":215,"_60":216,"_138":139,"_140":217,"_111":218,"_113":218,"_46":219,"_115":216,"_149":342},[343],{"_44":306,"_58":59,"_60":61,"_138":139,"_140":214,"_111":307,"_113":307,"_46":308,"_115":309,"_149":344},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários