[{"_1":2,"_268":-5,"_269":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_31":32,"_33":34,"_57":238,"_239":240},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_28":13,"_29":30},"correctOptionId","","difficulty","id","ed9b9bdd-adbb-45db-9e9f-051193ecbcf4","options",[19,25],{"_15":20,"_21":22,"_23":24},"a7e259a1-af53-409b-b9ef-183487381992","label","A","text","4062,5 \text{ cm}^4.",{"_15":26,"_21":27,"_23":24},"60be8d13-a854-4231-b142-c7179135c717","B","solution_explanation","statement","

4 - Calcule o momento de inércia polar da seção a seguir, sabendo que b = 10 \text{ cm} e h = 15 \text{ cm}, e responda quanto vale o momento polar de inércia J_o:

O momento polar de inércia J_o é de 4062,5 \text{ cm}^4.

","relatedVideos",[],"similarQuestions",[35,164,181,198,218],{"_12":13,"_14":13,"_15":36,"_17":37,"_28":13,"_29":56,"_57":58},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[38,41,44,48,52],{"_15":39,"_21":22,"_23":40},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_15":42,"_21":27,"_23":43},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_15":45,"_21":46,"_23":47},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_15":49,"_21":50,"_23":51},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_15":53,"_21":54,"_23":55},"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",[59,81,91,100,106,114,120,128,133,141,146,151,157],{"_15":60,"_61":62,"_63":64,"_65":66,"_67":68,"_69":70,"_71":70,"_72":73,"_80":64},"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",{"_74":75,"_76":77,"_78":79},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_15":82,"_61":83,"_63":84,"_65":66,"_67":85,"_69":86,"_71":86,"_72":87,"_80":90},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_74":88,"_76":77,"_78":89},5,30614,"engenharia-mecatronica-1",{"_15":92,"_61":93,"_63":94,"_65":66,"_67":95,"_69":96,"_71":96,"_72":97,"_80":99},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_74":77,"_76":77,"_78":98},3376,"resistencia-dos-materiais-6",{"_15":95,"_61":101,"_63":102,"_65":66,"_67":82,"_69":70,"_71":70,"_72":103,"_80":105},"Mecânica","mecanica",{"_74":88,"_76":77,"_78":104},25741,"mecanica-3",{"_15":107,"_61":108,"_63":109,"_65":66,"_67":-5,"_69":110,"_71":110,"_72":111,"_80":109},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_74":112,"_76":77,"_78":113},18,135489,{"_15":115,"_61":93,"_63":94,"_65":66,"_67":116,"_69":117,"_71":117,"_72":118,"_80":119},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_74":77,"_76":77,"_78":98},"resistencia-dos-materiais-4",{"_15":121,"_61":122,"_63":123,"_65":66,"_67":85,"_69":86,"_71":86,"_72":124,"_80":127},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_74":125,"_76":77,"_78":126},21,45865,"engenharia-civil-3",{"_15":68,"_61":129,"_63":130,"_65":66,"_67":85,"_69":86,"_71":86,"_72":131,"_80":132},"Engenharia de Petróleo","engenharia-de-petroleo",{"_74":88,"_76":77,"_78":79},"engenharia-de-petroleo-1",{"_15":134,"_61":135,"_63":136,"_65":66,"_67":121,"_69":137,"_71":137,"_72":138,"_80":140},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_74":88,"_76":77,"_78":139},8852,"estruturas-1",{"_15":116,"_61":101,"_63":102,"_65":66,"_67":107,"_69":86,"_71":86,"_72":142,"_80":145},{"_74":143,"_76":77,"_78":144},10,19948,"mecanica-2",{"_15":147,"_61":93,"_63":94,"_65":66,"_67":60,"_69":148,"_71":148,"_72":149,"_80":150},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_74":77,"_76":77,"_78":98},"resistencia-dos-materiais-7",{"_15":152,"_61":153,"_63":94,"_65":66,"_67":134,"_69":154,"_71":154,"_72":155,"_80":156},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_74":77,"_76":77,"_78":98},"resistencia-dos-materiais-5",{"_15":85,"_61":158,"_63":159,"_65":66,"_67":-5,"_69":160,"_71":160,"_72":161,"_80":159},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_74":162,"_76":77,"_78":163},29,351586,{"_12":13,"_14":13,"_15":165,"_17":166,"_28":13,"_29":179,"_57":180},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[167,170,173,176],{"_15":168,"_21":22,"_23":169},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_15":171,"_21":27,"_23":172},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_15":174,"_21":46,"_23":175},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_15":177,"_21":50,"_23":178},"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.

",[59,81,91,100,106,114,120,128,133,141,146,151,157],{"_12":13,"_14":13,"_15":182,"_17":183,"_28":13,"_29":196,"_57":197},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[184,187,190,193],{"_15":185,"_21":22,"_23":186},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_15":188,"_21":27,"_23":189},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_15":191,"_21":46,"_23":192},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_15":194,"_21":50,"_23":195},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[59,81,91,100,106,114,120,128,133,141,146,151,157],{"_12":13,"_14":13,"_15":199,"_17":200,"_28":13,"_29":216,"_57":217},"996628fc-4ac3-4821-86bd-839f86a97a6d",[201,204,207,210,213],{"_15":202,"_21":22,"_23":203},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_15":205,"_21":27,"_23":206},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_15":208,"_21":46,"_23":209},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_15":211,"_21":50,"_23":212},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_15":214,"_21":54,"_23":215},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[59,81,91,100,106,114,120,128,133,141,146,151,157],{"_12":13,"_14":13,"_15":219,"_17":220,"_28":13,"_29":236,"_57":237},"c478a46c-46a8-4942-ae14-2e79def3dda2",[221,224,227,230,233],{"_15":222,"_21":22,"_23":223},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_15":225,"_21":27,"_23":226},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_15":228,"_21":46,"_23":229},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_15":231,"_21":50,"_23":232},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_15":234,"_21":54,"_23":235},"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????",[59,81,91,100,106,114,120,128,133,141,146,151,157],[59,81,91,100,106,114,120,128,133,141,146,151,157],"tagsTree",[241,248],{"_15":107,"_61":108,"_63":109,"_65":66,"_67":-5,"_69":110,"_71":110,"_72":111,"_80":109,"_242":243},"children",[244],{"_15":116,"_61":101,"_63":102,"_65":66,"_67":107,"_69":86,"_71":86,"_72":142,"_80":145,"_242":245},[246],{"_15":115,"_61":93,"_63":94,"_65":66,"_67":116,"_69":117,"_71":117,"_72":118,"_80":119,"_242":247},[],{"_15":85,"_61":158,"_63":159,"_65":66,"_67":-5,"_69":160,"_71":160,"_72":161,"_80":159,"_242":249},[250,256,262],{"_15":82,"_61":83,"_63":84,"_65":66,"_67":85,"_69":86,"_71":86,"_72":87,"_80":90,"_242":251},[252],{"_15":95,"_61":101,"_63":102,"_65":66,"_67":82,"_69":70,"_71":70,"_72":103,"_80":105,"_242":253},[254],{"_15":92,"_61":93,"_63":94,"_65":66,"_67":95,"_69":96,"_71":96,"_72":97,"_80":99,"_242":255},[],{"_15":121,"_61":122,"_63":123,"_65":66,"_67":85,"_69":86,"_71":86,"_72":124,"_80":127,"_242":257},[258],{"_15":134,"_61":135,"_63":136,"_65":66,"_67":121,"_69":137,"_71":137,"_72":138,"_80":140,"_242":259},[260],{"_15":152,"_61":153,"_63":94,"_65":66,"_67":134,"_69":154,"_71":154,"_72":155,"_80":156,"_242":261},[],{"_15":68,"_61":129,"_63":130,"_65":66,"_67":85,"_69":86,"_71":86,"_72":131,"_80":132,"_242":263},[264],{"_15":60,"_61":62,"_63":64,"_65":66,"_67":68,"_69":70,"_71":70,"_72":73,"_80":64,"_242":265},[266],{"_15":147,"_61":93,"_63":94,"_65":66,"_67":60,"_69":148,"_71":148,"_72":149,"_80":150,"_242":267},[],"actionData","errors"]

Aulas em vídeo Em breve

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