[{"_1":2,"_263":-5,"_264":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_22":23,"_24":25,"_52":233,"_234":235},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_19":13,"_20":21},"correctOptionId","","difficulty","id","f9dc26ce-71f5-49c9-83fe-e5c4e6ebf079","options",[],"solution_explanation","statement","

Princípios de Mecânica e Resistência dos Materiais

Determine a tração desenvolvida nos três cabos necessária para suportar o semáforo, que tem uma massa de 15 \text{ kg}. Considere h = 4 \text{ m}. O semáforo está centralizado no eixo z, ou seja, suas componentes x e y são zero.

","relatedVideos",[],"similarQuestions",[26,159,176,193,213],{"_12":13,"_14":13,"_15":27,"_17":28,"_19":13,"_20":51,"_52":53},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[29,35,39,43,47],{"_15":30,"_31":32,"_33":34},"265bd71a-6749-41f5-b291-67efd646ca64","label","A","text","y'' + 2y' - 3y = 0",{"_15":36,"_31":37,"_33":38},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","B","6y'' - y' - y = 0",{"_15":40,"_31":41,"_33":42},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_15":44,"_31":45,"_33":46},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_15":48,"_31":49,"_33":50},"112831da-be9c-458e-94cb-e8292d0dba12","E","y'' - 2y' + 6y = 0","

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

","tags",[54,76,86,95,101,109,115,123,128,136,141,146,152],{"_15":55,"_56":57,"_58":59,"_60":61,"_62":63,"_64":65,"_66":65,"_67":68,"_75":59},"6516bbbd-f2a3-4710-8382-702240b17836","name","Mecânica na Engenharia de Petróleo","alias","mecanica-na-engenharia-de-petroleo","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","b787e438-0ab3-454c-ab43-5d3d14c2720d","created_at","2025-04-29T03:44:35.328997+00:00","updated_at","metadata",{"_69":70,"_71":72,"_73":74},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_15":77,"_56":78,"_58":79,"_60":61,"_62":80,"_64":81,"_66":81,"_67":82,"_75":85},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_69":83,"_71":72,"_73":84},5,30614,"engenharia-mecatronica-1",{"_15":87,"_56":88,"_58":89,"_60":61,"_62":90,"_64":91,"_66":91,"_67":92,"_75":94},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_69":72,"_71":72,"_73":93},3376,"resistencia-dos-materiais-6",{"_15":90,"_56":96,"_58":97,"_60":61,"_62":77,"_64":65,"_66":65,"_67":98,"_75":100},"Mecânica","mecanica",{"_69":83,"_71":72,"_73":99},25741,"mecanica-3",{"_15":102,"_56":103,"_58":104,"_60":61,"_62":-5,"_64":105,"_66":105,"_67":106,"_75":104},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_69":107,"_71":72,"_73":108},18,135489,{"_15":110,"_56":88,"_58":89,"_60":61,"_62":111,"_64":112,"_66":112,"_67":113,"_75":114},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_69":72,"_71":72,"_73":93},"resistencia-dos-materiais-4",{"_15":116,"_56":117,"_58":118,"_60":61,"_62":80,"_64":81,"_66":81,"_67":119,"_75":122},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_69":120,"_71":72,"_73":121},21,45865,"engenharia-civil-3",{"_15":63,"_56":124,"_58":125,"_60":61,"_62":80,"_64":81,"_66":81,"_67":126,"_75":127},"Engenharia de Petróleo","engenharia-de-petroleo",{"_69":83,"_71":72,"_73":74},"engenharia-de-petroleo-1",{"_15":129,"_56":130,"_58":131,"_60":61,"_62":116,"_64":132,"_66":132,"_67":133,"_75":135},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_69":83,"_71":72,"_73":134},8852,"estruturas-1",{"_15":111,"_56":96,"_58":97,"_60":61,"_62":102,"_64":81,"_66":81,"_67":137,"_75":140},{"_69":138,"_71":72,"_73":139},10,19948,"mecanica-2",{"_15":142,"_56":88,"_58":89,"_60":61,"_62":55,"_64":143,"_66":143,"_67":144,"_75":145},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_69":72,"_71":72,"_73":93},"resistencia-dos-materiais-7",{"_15":147,"_56":148,"_58":89,"_60":61,"_62":129,"_64":149,"_66":149,"_67":150,"_75":151},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_69":72,"_71":72,"_73":93},"resistencia-dos-materiais-5",{"_15":80,"_56":153,"_58":154,"_60":61,"_62":-5,"_64":155,"_66":155,"_67":156,"_75":154},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_69":157,"_71":72,"_73":158},29,351586,{"_12":13,"_14":13,"_15":160,"_17":161,"_19":13,"_20":174,"_52":175},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[162,165,168,171],{"_15":163,"_31":32,"_33":164},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_15":166,"_31":37,"_33":167},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_15":169,"_31":41,"_33":170},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_15":172,"_31":45,"_33":173},"1f5e395b-c362-4503-8261-dcfcae96b1ce","Falso, verdadero, verdadeiro, verdadeiro.","

Divide el polinomio p(x) = 3x^4 + 4x^3 + x^2 entre el polinomio q(x) = 2+x. Como el polinomio divisor, q(x), es de grado 2, debemos encontrar dos polinomios, un polinomio cociente (c(x)) y un polinomio resto (r(x)) de grado 1 o 0, tales que p(x) = q(x) * c(x) + r(x).

El polinomio p(x) es de grado 4.

El polinomio q(x) es de grado 1.

El polinomio cociente c(x) es de grado 2.

El polinomio resto r(x) es de grado 1 o 0.

",[54,76,86,95,101,109,115,123,128,136,141,146,152],{"_12":13,"_14":13,"_15":177,"_17":178,"_19":13,"_20":191,"_52":192},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[179,182,185,188],{"_15":180,"_31":32,"_33":181},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_15":183,"_31":37,"_33":184},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_15":186,"_31":41,"_33":187},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_15":189,"_31":45,"_33":190},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[54,76,86,95,101,109,115,123,128,136,141,146,152],{"_12":13,"_14":13,"_15":194,"_17":195,"_19":13,"_20":211,"_52":212},"996628fc-4ac3-4821-86bd-839f86a97a6d",[196,199,202,205,208],{"_15":197,"_31":32,"_33":198},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_15":200,"_31":37,"_33":201},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_15":203,"_31":41,"_33":204},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_15":206,"_31":45,"_33":207},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_15":209,"_31":49,"_33":210},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[54,76,86,95,101,109,115,123,128,136,141,146,152],{"_12":13,"_14":13,"_15":214,"_17":215,"_19":13,"_20":231,"_52":232},"c478a46c-46a8-4942-ae14-2e79def3dda2",[216,219,222,225,228],{"_15":217,"_31":32,"_33":218},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_15":220,"_31":37,"_33":221},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_15":223,"_31":41,"_33":224},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_15":226,"_31":45,"_33":227},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_15":229,"_31":49,"_33":230},"2e06d948-d37e-4350-afc7-ced04941bcaf","Nenhum","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????",[54,76,86,95,101,109,115,123,128,136,141,146,152],[54,76,86,95,101,109,115,123,128,136,141,146,152],"tagsTree",[236,243],{"_15":102,"_56":103,"_58":104,"_60":61,"_62":-5,"_64":105,"_66":105,"_67":106,"_75":104,"_237":238},"children",[239],{"_15":111,"_56":96,"_58":97,"_60":61,"_62":102,"_64":81,"_66":81,"_67":137,"_75":140,"_237":240},[241],{"_15":110,"_56":88,"_58":89,"_60":61,"_62":111,"_64":112,"_66":112,"_67":113,"_75":114,"_237":242},[],{"_15":80,"_56":153,"_58":154,"_60":61,"_62":-5,"_64":155,"_66":155,"_67":156,"_75":154,"_237":244},[245,251,257],{"_15":77,"_56":78,"_58":79,"_60":61,"_62":80,"_64":81,"_66":81,"_67":82,"_75":85,"_237":246},[247],{"_15":90,"_56":96,"_58":97,"_60":61,"_62":77,"_64":65,"_66":65,"_67":98,"_75":100,"_237":248},[249],{"_15":87,"_56":88,"_58":89,"_60":61,"_62":90,"_64":91,"_66":91,"_67":92,"_75":94,"_237":250},[],{"_15":116,"_56":117,"_58":118,"_60":61,"_62":80,"_64":81,"_66":81,"_67":119,"_75":122,"_237":252},[253],{"_15":129,"_56":130,"_58":131,"_60":61,"_62":116,"_64":132,"_66":132,"_67":133,"_75":135,"_237":254},[255],{"_15":147,"_56":148,"_58":89,"_60":61,"_62":129,"_64":149,"_66":149,"_67":150,"_75":151,"_237":256},[],{"_15":63,"_56":124,"_58":125,"_60":61,"_62":80,"_64":81,"_66":81,"_67":126,"_75":127,"_237":258},[259],{"_15":55,"_56":57,"_58":59,"_60":61,"_62":63,"_64":65,"_66":65,"_67":68,"_75":59,"_237":260},[261],{"_15":142,"_56":88,"_58":89,"_60":61,"_62":55,"_64":143,"_66":143,"_67":144,"_75":145,"_237":262},[],"actionData","errors"]

Aulas em vídeo Em breve

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