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Determine as reações de apoios da viga isostática biapoiada abaixo.

","status","pending_classification","hasRelatedVideo","relatedVideos",[115],{"_116":117,"_135":136,"_50":151,"_186":187,"_204":205},"content",{"_43":118,"_54":119,"_120":-5,"_121":122,"_123":124,"_125":-5,"_45":126,"_129":130,"_131":130,"_132":-5,"_133":134},"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",{"_127":128},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_137":138,"_144":145,"_146":147,"_148":149,"_28":150},"provider",{"_43":139,"_140":141,"_142":143},"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",[152],{"_43":153,"_54":154,"_56":155,"_156":157,"_158":-5,"_129":159,"_131":159,"_45":160,"_133":155,"_167":168},"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",{"_161":162,"_163":164,"_165":166},"childrenCount",18,"content_count",0,"question_count",135489,"children",[169],{"_43":170,"_54":171,"_56":172,"_156":157,"_158":153,"_129":173,"_131":173,"_45":174,"_133":177,"_167":178},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_161":175,"_163":164,"_165":176},10,19948,"mecanica-2",[179],{"_43":180,"_54":66,"_56":61,"_156":157,"_158":170,"_129":181,"_131":181,"_45":182,"_133":184,"_167":185},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_161":164,"_163":164,"_165":183},3376,"resistencia-dos-materiais-4",[],"video",{"_43":124,"_13":119,"_120":-5,"_188":189,"_190":191,"_28":-5,"_192":-5,"_137":191,"_193":194,"_148":-5,"_195":-5,"_196":-5,"_197":-5,"_198":-5,"_45":199,"_200":164,"_201":-5,"_110":202,"_129":203,"_131":203},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_127":128},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_43":153,"_54":154,"_56":155,"_156":157,"_158":-5,"_129":159,"_131":159,"_45":206,"_133":155,"_167":207},{"_161":162,"_163":164,"_165":166},[208],{"_43":170,"_54":171,"_56":172,"_156":157,"_158":153,"_129":173,"_131":173,"_45":209,"_133":177,"_167":210},{"_161":175,"_163":164,"_165":176},[211],{"_43":180,"_54":66,"_56":61,"_156":157,"_158":170,"_129":181,"_131":181,"_45":212,"_133":184,"_167":213},{"_161":164,"_163":164,"_165":183},[],"similarQuestions",[216,246,266],{"_40":217,"_42":41,"_43":218,"_83":219,"_107":234,"_108":235,"_50":236},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[220,223,226,229,232],{"_43":221,"_87":88,"_89":222},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":224,"_87":93,"_89":225},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":227,"_87":97,"_89":228},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":230,"_87":101,"_89":231},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":217,"_87":105,"_89":233},"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

",[237],{"_43":238,"_54":239,"_56":240,"_156":157,"_158":241,"_129":242,"_131":242,"_45":243,"_133":240},"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",{"_161":244,"_163":164,"_165":245},4,12302,{"_40":247,"_42":41,"_43":248,"_83":249,"_107":261,"_108":262,"_50":263},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[250,253,256,258],{"_43":251,"_87":88,"_89":252},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":254,"_87":93,"_89":255},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":247,"_87":97,"_89":257},"

Verdadeiro, falso, verdadeiro

",{"_43":259,"_87":101,"_89":260},"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?

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a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[287],{"_43":238,"_54":239,"_56":240,"_156":157,"_158":241,"_129":242,"_131":242,"_45":288,"_133":240},{"_161":244,"_163":164,"_165":245},[290,292,301,307,311,313,315,323,328,336,338,343,349],{"_43":238,"_54":239,"_56":240,"_156":157,"_158":241,"_129":242,"_131":242,"_45":291,"_133":240},{"_161":244,"_163":164,"_165":245},{"_43":293,"_54":294,"_56":295,"_156":157,"_158":296,"_129":173,"_131":173,"_45":297,"_133":300},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_161":298,"_163":164,"_165":299},5,30614,"engenharia-mecatronica-1",{"_43":302,"_54":66,"_56":61,"_156":157,"_158":303,"_129":304,"_131":304,"_45":305,"_133":306},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_161":164,"_163":164,"_165":183},"resistencia-dos-materiais-6",{"_43":303,"_54":171,"_56":172,"_156":157,"_158":293,"_129":242,"_131":242,"_45":308,"_133":310},{"_161":298,"_163":164,"_165":309},25741,"mecanica-3",{"_43":153,"_54":154,"_56":155,"_156":157,"_158":-5,"_129":159,"_131":159,"_45":312,"_133":155},{"_161":162,"_163":164,"_165":166},{"_43":180,"_54":66,"_56":61,"_156":157,"_158":170,"_129":181,"_131":181,"_45":314,"_133":184},{"_161":164,"_163":164,"_165":183},{"_43":316,"_54":317,"_56":318,"_156":157,"_158":296,"_129":173,"_131":173,"_45":319,"_133":322},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_161":320,"_163":164,"_165":321},21,45865,"engenharia-civil-3",{"_43":241,"_54":324,"_56":325,"_156":157,"_158":296,"_129":173,"_131":173,"_45":326,"_133":327},"Engenharia de Petróleo","engenharia-de-petroleo",{"_161":298,"_163":164,"_165":245},"engenharia-de-petroleo-1",{"_43":329,"_54":330,"_56":331,"_156":157,"_158":316,"_129":332,"_131":332,"_45":333,"_133":335},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_161":298,"_163":164,"_165":334},8852,"estruturas-1",{"_43":170,"_54":171,"_56":172,"_156":157,"_158":153,"_129":173,"_131":173,"_45":337,"_133":177},{"_161":175,"_163":164,"_165":176},{"_43":339,"_54":66,"_56":61,"_156":157,"_158":238,"_129":340,"_131":340,"_45":341,"_133":342},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_161":164,"_163":164,"_165":183},"resistencia-dos-materiais-7",{"_43":344,"_54":345,"_56":61,"_156":157,"_158":329,"_129":346,"_131":346,"_45":347,"_133":348},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_161":164,"_163":164,"_165":183},"resistencia-dos-materiais-5",{"_43":296,"_54":350,"_56":351,"_156":157,"_158":-5,"_129":352,"_131":352,"_45":353,"_133":351},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_161":354,"_163":164,"_165":355},29,351586,"tagsTree",[358,367],{"_43":153,"_54":154,"_56":155,"_156":157,"_158":-5,"_129":159,"_131":159,"_45":359,"_133":155,"_167":360},{"_161":162,"_163":164,"_165":166},[361],{"_43":170,"_54":171,"_56":172,"_156":157,"_158":153,"_129":173,"_131":173,"_45":362,"_133":177,"_167":363},{"_161":175,"_163":164,"_165":176},[364],{"_43":180,"_54":66,"_56":61,"_156":157,"_158":170,"_129":181,"_131":181,"_45":365,"_133":184,"_167":366},{"_161":164,"_163":164,"_165":183},[],{"_43":296,"_54":350,"_56":351,"_156":157,"_158":-5,"_129":352,"_131":352,"_45":368,"_133":351,"_167":369},{"_161":354,"_163":164,"_165":355},[370,379,388],{"_43":293,"_54":294,"_56":295,"_156":157,"_158":296,"_129":173,"_131":173,"_45":371,"_133":300,"_167":372},{"_161":298,"_163":164,"_165":299},[373],{"_43":303,"_54":171,"_56":172,"_156":157,"_158":293,"_129":242,"_131":242,"_45":374,"_133":310,"_167":375},{"_161":298,"_163":164,"_165":309},[376],{"_43":302,"_54":66,"_56":61,"_156":157,"_158":303,"_129":304,"_131":304,"_45":377,"_133":306,"_167":378},{"_161":164,"_163":164,"_165":183},[],{"_43":316,"_54":317,"_56":318,"_156":157,"_158":296,"_129":173,"_131":173,"_45":380,"_133":322,"_167":381},{"_161":320,"_163":164,"_165":321},[382],{"_43":329,"_54":330,"_56":331,"_156":157,"_158":316,"_129":332,"_131":332,"_45":383,"_133":335,"_167":384},{"_161":298,"_163":164,"_165":334},[385],{"_43":344,"_54":345,"_56":61,"_156":157,"_158":329,"_129":346,"_131":346,"_45":386,"_133":348,"_167":387},{"_161":164,"_163":164,"_165":183},[],{"_43":241,"_54":324,"_56":325,"_156":157,"_158":296,"_129":173,"_131":173,"_45":389,"_133":327,"_167":390},{"_161":298,"_163":164,"_165":245},[391],{"_43":238,"_54":239,"_56":240,"_156":157,"_158":241,"_129":242,"_131":242,"_45":392,"_133":240,"_167":393},{"_161":244,"_163":164,"_165":245},[394],{"_43":339,"_54":66,"_56":61,"_156":157,"_158":238,"_129":340,"_131":340,"_45":395,"_133":342,"_167":396},{"_161":164,"_163":164,"_165":183},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários