[{"_1":2,"_265":-5,"_266":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/cf5f0713-977e-45b0-b552-91764a5c5c3c","user","pages/questions/show/index",{"_10":11,"_12":13,"_24":25,"_26":27,"_54":235,"_236":237},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_21":15,"_22":23},"correctOptionId","","difficulty","id","cf5f0713-977e-45b0-b552-91764a5c5c3c","options",[],"solution_explanation","statement","

O guindaste é usado para içar a rede de peixes com 200 \text{ kg} para a plataforma. Determine a força compressiva ao longo de cada uma das hastes AB e CB e a tração no cabo de guincho DB.

Você pode utilizar o google colab para montar o sistema linear de equações e extrair os valores para as forças.

","relatedVideos",[],"similarQuestions",[28,161,178,195,215],{"_14":15,"_16":15,"_17":29,"_19":30,"_21":15,"_22":53,"_54":55},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[31,37,41,45,49],{"_17":32,"_33":34,"_35":36},"265bd71a-6749-41f5-b291-67efd646ca64","label","A","text","y'' + 2y' - 3y = 0",{"_17":38,"_33":39,"_35":40},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","B","6y'' - y' - y = 0",{"_17":42,"_33":43,"_35":44},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_17":46,"_33":47,"_35":48},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_17":50,"_33":51,"_35":52},"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",[56,78,88,97,103,111,117,125,130,138,143,148,154],{"_17":57,"_58":59,"_60":61,"_62":63,"_64":65,"_66":67,"_68":67,"_69":70,"_77":61},"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",{"_71":72,"_73":74,"_75":76},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_17":79,"_58":80,"_60":81,"_62":63,"_64":82,"_66":83,"_68":83,"_69":84,"_77":87},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_71":85,"_73":74,"_75":86},5,30614,"engenharia-mecatronica-1",{"_17":89,"_58":90,"_60":91,"_62":63,"_64":92,"_66":93,"_68":93,"_69":94,"_77":96},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_71":74,"_73":74,"_75":95},3376,"resistencia-dos-materiais-6",{"_17":92,"_58":98,"_60":99,"_62":63,"_64":79,"_66":67,"_68":67,"_69":100,"_77":102},"Mecânica","mecanica",{"_71":85,"_73":74,"_75":101},25741,"mecanica-3",{"_17":104,"_58":105,"_60":106,"_62":63,"_64":-5,"_66":107,"_68":107,"_69":108,"_77":106},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_71":109,"_73":74,"_75":110},18,135489,{"_17":112,"_58":90,"_60":91,"_62":63,"_64":113,"_66":114,"_68":114,"_69":115,"_77":116},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_71":74,"_73":74,"_75":95},"resistencia-dos-materiais-4",{"_17":118,"_58":119,"_60":120,"_62":63,"_64":82,"_66":83,"_68":83,"_69":121,"_77":124},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_71":122,"_73":74,"_75":123},21,45865,"engenharia-civil-3",{"_17":65,"_58":126,"_60":127,"_62":63,"_64":82,"_66":83,"_68":83,"_69":128,"_77":129},"Engenharia de Petróleo","engenharia-de-petroleo",{"_71":85,"_73":74,"_75":76},"engenharia-de-petroleo-1",{"_17":131,"_58":132,"_60":133,"_62":63,"_64":118,"_66":134,"_68":134,"_69":135,"_77":137},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_71":85,"_73":74,"_75":136},8852,"estruturas-1",{"_17":113,"_58":98,"_60":99,"_62":63,"_64":104,"_66":83,"_68":83,"_69":139,"_77":142},{"_71":140,"_73":74,"_75":141},10,19948,"mecanica-2",{"_17":144,"_58":90,"_60":91,"_62":63,"_64":57,"_66":145,"_68":145,"_69":146,"_77":147},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_71":74,"_73":74,"_75":95},"resistencia-dos-materiais-7",{"_17":149,"_58":150,"_60":91,"_62":63,"_64":131,"_66":151,"_68":151,"_69":152,"_77":153},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_71":74,"_73":74,"_75":95},"resistencia-dos-materiais-5",{"_17":82,"_58":155,"_60":156,"_62":63,"_64":-5,"_66":157,"_68":157,"_69":158,"_77":156},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_71":159,"_73":74,"_75":160},29,351586,{"_14":15,"_16":15,"_17":162,"_19":163,"_21":15,"_22":176,"_54":177},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[164,167,170,173],{"_17":165,"_33":34,"_35":166},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":168,"_33":39,"_35":169},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":171,"_33":43,"_35":172},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":174,"_33":47,"_35":175},"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.

",[56,78,88,97,103,111,117,125,130,138,143,148,154],{"_14":15,"_16":15,"_17":179,"_19":180,"_21":15,"_22":193,"_54":194},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[181,184,187,190],{"_17":182,"_33":34,"_35":183},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":185,"_33":39,"_35":186},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":188,"_33":43,"_35":189},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":191,"_33":47,"_35":192},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[56,78,88,97,103,111,117,125,130,138,143,148,154],{"_14":15,"_16":15,"_17":196,"_19":197,"_21":15,"_22":213,"_54":214},"996628fc-4ac3-4821-86bd-839f86a97a6d",[198,201,204,207,210],{"_17":199,"_33":34,"_35":200},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":202,"_33":39,"_35":203},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":205,"_33":43,"_35":206},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":208,"_33":47,"_35":209},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":211,"_33":51,"_35":212},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[56,78,88,97,103,111,117,125,130,138,143,148,154],{"_14":15,"_16":15,"_17":216,"_19":217,"_21":15,"_22":233,"_54":234},"c478a46c-46a8-4942-ae14-2e79def3dda2",[218,221,224,227,230],{"_17":219,"_33":34,"_35":220},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":222,"_33":39,"_35":223},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":225,"_33":43,"_35":226},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":228,"_33":47,"_35":229},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":231,"_33":51,"_35":232},"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????",[56,78,88,97,103,111,117,125,130,138,143,148,154],[56,78,88,97,103,111,117,125,130,138,143,148,154],"tagsTree",[238,245],{"_17":104,"_58":105,"_60":106,"_62":63,"_64":-5,"_66":107,"_68":107,"_69":108,"_77":106,"_239":240},"children",[241],{"_17":113,"_58":98,"_60":99,"_62":63,"_64":104,"_66":83,"_68":83,"_69":139,"_77":142,"_239":242},[243],{"_17":112,"_58":90,"_60":91,"_62":63,"_64":113,"_66":114,"_68":114,"_69":115,"_77":116,"_239":244},[],{"_17":82,"_58":155,"_60":156,"_62":63,"_64":-5,"_66":157,"_68":157,"_69":158,"_77":156,"_239":246},[247,253,259],{"_17":79,"_58":80,"_60":81,"_62":63,"_64":82,"_66":83,"_68":83,"_69":84,"_77":87,"_239":248},[249],{"_17":92,"_58":98,"_60":99,"_62":63,"_64":79,"_66":67,"_68":67,"_69":100,"_77":102,"_239":250},[251],{"_17":89,"_58":90,"_60":91,"_62":63,"_64":92,"_66":93,"_68":93,"_69":94,"_77":96,"_239":252},[],{"_17":118,"_58":119,"_60":120,"_62":63,"_64":82,"_66":83,"_68":83,"_69":121,"_77":124,"_239":254},[255],{"_17":131,"_58":132,"_60":133,"_62":63,"_64":118,"_66":134,"_68":134,"_69":135,"_77":137,"_239":256},[257],{"_17":149,"_58":150,"_60":91,"_62":63,"_64":131,"_66":151,"_68":151,"_69":152,"_77":153,"_239":258},[],{"_17":65,"_58":126,"_60":127,"_62":63,"_64":82,"_66":83,"_68":83,"_69":128,"_77":129,"_239":260},[261],{"_17":57,"_58":59,"_60":61,"_62":63,"_64":65,"_66":67,"_68":67,"_69":70,"_77":61,"_239":262},[263],{"_17":144,"_58":90,"_60":91,"_62":63,"_64":57,"_66":145,"_68":145,"_69":146,"_77":147,"_239":264},[],"actionData","errors"]

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