[{"_1":2,"_269":-5,"_270":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_32":33,"_34":35,"_58":239,"_240":241},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_29":13,"_30":31},"correctOptionId","","difficulty","id","e9d072b5-4dbd-44a4-bb62-fac6321789f5","options",[19,25],{"_15":20,"_21":22,"_23":24},"583d0f6b-1661-4247-bbad-e9b221b244fc","label","A","text","B y C",{"_15":26,"_21":27,"_23":28},"6917d1a5-0f7b-4f51-8751-1b32038e16a2","B","B y D","solution_explanation","statement","

Ejercicio 8. El motor eléctrico, mostrado en la figura siguiente, ejerce un torque de 6 \text{ kips-plg} sobre el eje de aluminio ABCD cuando rota a velocidad constante. Sabiendo que G = 3.7 \times 10^6 \text{ psi}, hallar el ángulo de torsión entre:

a) B y C
b) B y D

","relatedVideos",[],"similarQuestions",[36,165,182,199,219],{"_12":13,"_14":13,"_15":37,"_17":38,"_29":13,"_30":57,"_58":59},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[39,42,45,49,53],{"_15":40,"_21":22,"_23":41},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_15":43,"_21":27,"_23":44},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_15":46,"_21":47,"_23":48},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_15":50,"_21":51,"_23":52},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_15":54,"_21":55,"_23":56},"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",[60,82,92,101,107,115,121,129,134,142,147,152,158],{"_15":61,"_62":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":71,"_73":74,"_81":65},"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",{"_75":76,"_77":78,"_79":80},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_15":83,"_62":84,"_64":85,"_66":67,"_68":86,"_70":87,"_72":87,"_73":88,"_81":91},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_75":89,"_77":78,"_79":90},5,30614,"engenharia-mecatronica-1",{"_15":93,"_62":94,"_64":95,"_66":67,"_68":96,"_70":97,"_72":97,"_73":98,"_81":100},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_75":78,"_77":78,"_79":99},3376,"resistencia-dos-materiais-6",{"_15":96,"_62":102,"_64":103,"_66":67,"_68":83,"_70":71,"_72":71,"_73":104,"_81":106},"Mecânica","mecanica",{"_75":89,"_77":78,"_79":105},25741,"mecanica-3",{"_15":108,"_62":109,"_64":110,"_66":67,"_68":-5,"_70":111,"_72":111,"_73":112,"_81":110},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_75":113,"_77":78,"_79":114},18,135489,{"_15":116,"_62":94,"_64":95,"_66":67,"_68":117,"_70":118,"_72":118,"_73":119,"_81":120},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_75":78,"_77":78,"_79":99},"resistencia-dos-materiais-4",{"_15":122,"_62":123,"_64":124,"_66":67,"_68":86,"_70":87,"_72":87,"_73":125,"_81":128},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_75":126,"_77":78,"_79":127},21,45865,"engenharia-civil-3",{"_15":69,"_62":130,"_64":131,"_66":67,"_68":86,"_70":87,"_72":87,"_73":132,"_81":133},"Engenharia de Petróleo","engenharia-de-petroleo",{"_75":89,"_77":78,"_79":80},"engenharia-de-petroleo-1",{"_15":135,"_62":136,"_64":137,"_66":67,"_68":122,"_70":138,"_72":138,"_73":139,"_81":141},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_75":89,"_77":78,"_79":140},8852,"estruturas-1",{"_15":117,"_62":102,"_64":103,"_66":67,"_68":108,"_70":87,"_72":87,"_73":143,"_81":146},{"_75":144,"_77":78,"_79":145},10,19948,"mecanica-2",{"_15":148,"_62":94,"_64":95,"_66":67,"_68":61,"_70":149,"_72":149,"_73":150,"_81":151},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_75":78,"_77":78,"_79":99},"resistencia-dos-materiais-7",{"_15":153,"_62":154,"_64":95,"_66":67,"_68":135,"_70":155,"_72":155,"_73":156,"_81":157},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_75":78,"_77":78,"_79":99},"resistencia-dos-materiais-5",{"_15":86,"_62":159,"_64":160,"_66":67,"_68":-5,"_70":161,"_72":161,"_73":162,"_81":160},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_75":163,"_77":78,"_79":164},29,351586,{"_12":13,"_14":13,"_15":166,"_17":167,"_29":13,"_30":180,"_58":181},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[168,171,174,177],{"_15":169,"_21":22,"_23":170},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_15":172,"_21":27,"_23":173},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_15":175,"_21":47,"_23":176},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_15":178,"_21":51,"_23":179},"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.

",[60,82,92,101,107,115,121,129,134,142,147,152,158],{"_12":13,"_14":13,"_15":183,"_17":184,"_29":13,"_30":197,"_58":198},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[185,188,191,194],{"_15":186,"_21":22,"_23":187},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_15":189,"_21":27,"_23":190},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_15":192,"_21":47,"_23":193},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_15":195,"_21":51,"_23":196},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[60,82,92,101,107,115,121,129,134,142,147,152,158],{"_12":13,"_14":13,"_15":200,"_17":201,"_29":13,"_30":217,"_58":218},"996628fc-4ac3-4821-86bd-839f86a97a6d",[202,205,208,211,214],{"_15":203,"_21":22,"_23":204},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_15":206,"_21":27,"_23":207},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_15":209,"_21":47,"_23":210},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_15":212,"_21":51,"_23":213},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_15":215,"_21":55,"_23":216},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[60,82,92,101,107,115,121,129,134,142,147,152,158],{"_12":13,"_14":13,"_15":220,"_17":221,"_29":13,"_30":237,"_58":238},"c478a46c-46a8-4942-ae14-2e79def3dda2",[222,225,228,231,234],{"_15":223,"_21":22,"_23":224},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_15":226,"_21":27,"_23":227},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_15":229,"_21":47,"_23":230},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_15":232,"_21":51,"_23":233},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_15":235,"_21":55,"_23":236},"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????",[60,82,92,101,107,115,121,129,134,142,147,152,158],[60,82,92,101,107,115,121,129,134,142,147,152,158],"tagsTree",[242,249],{"_15":108,"_62":109,"_64":110,"_66":67,"_68":-5,"_70":111,"_72":111,"_73":112,"_81":110,"_243":244},"children",[245],{"_15":117,"_62":102,"_64":103,"_66":67,"_68":108,"_70":87,"_72":87,"_73":143,"_81":146,"_243":246},[247],{"_15":116,"_62":94,"_64":95,"_66":67,"_68":117,"_70":118,"_72":118,"_73":119,"_81":120,"_243":248},[],{"_15":86,"_62":159,"_64":160,"_66":67,"_68":-5,"_70":161,"_72":161,"_73":162,"_81":160,"_243":250},[251,257,263],{"_15":83,"_62":84,"_64":85,"_66":67,"_68":86,"_70":87,"_72":87,"_73":88,"_81":91,"_243":252},[253],{"_15":96,"_62":102,"_64":103,"_66":67,"_68":83,"_70":71,"_72":71,"_73":104,"_81":106,"_243":254},[255],{"_15":93,"_62":94,"_64":95,"_66":67,"_68":96,"_70":97,"_72":97,"_73":98,"_81":100,"_243":256},[],{"_15":122,"_62":123,"_64":124,"_66":67,"_68":86,"_70":87,"_72":87,"_73":125,"_81":128,"_243":258},[259],{"_15":135,"_62":136,"_64":137,"_66":67,"_68":122,"_70":138,"_72":138,"_73":139,"_81":141,"_243":260},[261],{"_15":153,"_62":154,"_64":95,"_66":67,"_68":135,"_70":155,"_72":155,"_73":156,"_81":157,"_243":262},[],{"_15":69,"_62":130,"_64":131,"_66":67,"_68":86,"_70":87,"_72":87,"_73":132,"_81":133,"_243":264},[265],{"_15":61,"_62":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":71,"_73":74,"_81":65,"_243":266},[267],{"_15":148,"_62":94,"_64":95,"_66":67,"_68":61,"_70":149,"_72":149,"_73":150,"_81":151,"_243":268},[],"actionData","errors"]

Aulas em vídeo Em breve

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