From 15dcecd9778c4c47e9922c3e54d16535cae0c531 Mon Sep 17 00:00:00 2001 From: flavio Date: Wed, 25 Sep 2019 00:34:02 -0300 Subject: [PATCH 1/4] =?UTF-8?q?Incluindo=20quest=C3=B5es=20de=20MCU.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- BancoDeQuestoes/calorimetria/Q12CalS.Rnw | 2 +- BancoDeQuestoes/cinematica/MCU/Q01MCU.Rnw | 28 +++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q02MCU.Rnw | 35 ++++++++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q02MCU.png | Bin 0 -> 53676 bytes BancoDeQuestoes/cinematica/MCU/Q03MCU.Rnw | 34 +++++++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q03MCU.png | Bin 0 -> 110449 bytes BancoDeQuestoes/cinematica/MCU/Q04MCU.Rnw | 33 ++++++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q04MCU.png | Bin 0 -> 56041 bytes BancoDeQuestoes/cinematica/MCU/Q05MCU.Rnw | 33 ++++++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q05MCU.png | Bin 0 -> 17065 bytes BancoDeQuestoes/cinematica/MCU/Q06MCU.Rnw | 31 +++++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q06MCU.gif | Bin 0 -> 1670122 bytes BancoDeQuestoes/cinematica/MCU/Q07MCU.Rnw | 33 ++++++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q07MCU.png | Bin 0 -> 13671 bytes BancoDeQuestoes/cinematica/MCU/Q08MCU.Rnw | 31 +++++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q08MCU.png | Bin 0 -> 86066 bytes BancoDeQuestoes/cinematica/MCU/Q09MCU.Rnw | 23 ++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q10MCU.Rnw | 34 +++++++++++++++++++++ BancoDeQuestoes/cinematica/MCU/Q10MCU.png | Bin 0 -> 62568 bytes 19 files changed, 316 insertions(+), 1 deletion(-) create mode 100644 BancoDeQuestoes/cinematica/MCU/Q01MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q02MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q02MCU.png create mode 100644 BancoDeQuestoes/cinematica/MCU/Q03MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q03MCU.png create mode 100644 BancoDeQuestoes/cinematica/MCU/Q04MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q04MCU.png create mode 100644 BancoDeQuestoes/cinematica/MCU/Q05MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q05MCU.png create mode 100644 BancoDeQuestoes/cinematica/MCU/Q06MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q06MCU.gif create mode 100644 BancoDeQuestoes/cinematica/MCU/Q07MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q07MCU.png create mode 100644 BancoDeQuestoes/cinematica/MCU/Q08MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q08MCU.png create mode 100644 BancoDeQuestoes/cinematica/MCU/Q09MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q10MCU.Rnw create mode 100644 BancoDeQuestoes/cinematica/MCU/Q10MCU.png diff --git a/BancoDeQuestoes/calorimetria/Q12CalS.Rnw b/BancoDeQuestoes/calorimetria/Q12CalS.Rnw index 8640d3c..2e7da3b 100644 --- a/BancoDeQuestoes/calorimetria/Q12CalS.Rnw +++ b/BancoDeQuestoes/calorimetria/Q12CalS.Rnw @@ -7,7 +7,7 @@ temp1 <- sample(seq(from=20, to=40, by=1),1) temp2 <- sample(seq(from=50, to=100, by=1),1) -resp1 <- round(mass1*0.12*(temp2-temp1)/1000, digits = 1) +resp1 <- round(1000*mass1*0.12*(temp2-temp1), digits = 1) @ \usepackage[utf8]{inputenc} diff --git a/BancoDeQuestoes/cinematica/MCU/Q01MCU.Rnw b/BancoDeQuestoes/cinematica/MCU/Q01MCU.Rnw new file mode 100644 index 0000000..1929a59 --- /dev/null +++ b/BancoDeQuestoes/cinematica/MCU/Q01MCU.Rnw @@ -0,0 +1,28 @@ +<>= +## DATA GENERATION +D = sample(400:410, 1) +tempo = sample(22:27, 1) +g = round(runif(n = 1, min = 0.08, max = 0.11), 3) + +## Resposta +R = round(((D*1000/(60*tempo + 3600))^2)/(g*10),1) +@ + +\begin{question} + +O Brasil pode se transformar no primeiro país das Américas a entrar no seleto grupo das nações que dispõem de trens-bala. O Ministério dos Transportes prevê o lançamento do edital de licitação internacional para a construção da ferrovia de alta velocidade Rio-São Paulo. A viagem ligará os \Sexpr{D} quilômetros entre a Central do Brasil, no Rio, e a Estação da Luz, no centro da capital paulista, em uma hora e \Sexpr{tempo} minutos. Disponível em: http://oglobo.globo.com. Acesso em: 14 jul. 2009. + +Devido à alta velocidade, um dos problemas a ser enfrentado na escolha do trajeto que será percorrido pelo trem é o dimensionamento das curvas. Considerando-se que uma aceleração lateral confortável para os passageiros e segura para o trem seja de \Sexpr{g} g, em que g é a aceleração da gravidade (considerada igual a 10 m/s² ), e que a velocidade do trem se mantenha constante em todo o percurso, qual deveria ser o raio mínimo de curvatura das curvas existentes? OBS: arredonde a resposta para uma decimal. + +\end{question} + +\begin{solution} +%% Supply a solution here! +O raio mínimo é \Sexpr{R}. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{R}} +%% \exname{Q01MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q02MCU.Rnw b/BancoDeQuestoes/cinematica/MCU/Q02MCU.Rnw new file mode 100644 index 0000000..38b9f7a --- /dev/null +++ b/BancoDeQuestoes/cinematica/MCU/Q02MCU.Rnw @@ -0,0 +1,35 @@ +<>= +## DATA GENERATION +mu1 = sample(6:9,1)*0.1 +raio = sample(30:40, 1) + +## Resposta +omega = round(sqrt(10*mu1/raio),2) + +##Imagem +include_supplement("Q02MCU.png") +@ +\usepackage[utf8]{inputenc} + +\begin{question} +Ventilador de teto é algo comum nas casas brasileiras das regiões mais quentes, como na de Márcio. Ele colocou uma borracha sobre uma das pás do ventilador de teto de seu quarto. A pá do ventilador era de madeira e ficava na horizontal. A frequência do ventilador era controlada por Márcio através de um dispositivo eletrônico. A borracha foi colocada a {raio} cm do centro do ventilador. Se os coeficientes de atrito que estão associados à borracha em contato com a madeira medem {mu1} e 0,5 , determine a maior frequência angular (ou velocidade angular) que o ventilador pode assumir em movimento circular uniforme para que a borracha não deslize pela pá. + +Dados: despreze a resistência do ar, desconsidere a fase de movimento acelerado e ofereça a resposta em radianos por segundo. A aceleração da gravidade = 10 m/s². Arredonde para duas decimais. + +\begin{figure}[h!] + \centering + \includegraphics[height=5cm, keepaspectratio]{{Q02MCU.png}} +\end{figure} + +\end{question} + +\begin{solution} +%% Supply a solution here! +Omega é \Sexpr{omega}. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{omega}} +%% \exname{Q02MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q02MCU.png b/BancoDeQuestoes/cinematica/MCU/Q02MCU.png new file mode 100644 index 0000000000000000000000000000000000000000..12d6ed02069a33779944e4252174b222d9cc8f33 GIT binary patch literal 53676 zcmXt91z6Kj-yJYvBIpp1ZbTXcrCTIM52Tfl?(XgokZw?5gfNiql5XklmhOh{&-=dL zeRzmH1GamAaen8V8>%QTiH%8&2?BwzrKQB-AP{N@@O>u)75Kccu`vaFL9-W=R)Ihu zv&#xgz>h=@AJrX{t&JR<_3R8m##YvrhAj49?F`km44$zu~Kp;wxw795>OWLld z`*%_`$9vw3^9JMdpPx-DXDSUE4WIg!zJ-b{8Rz3Y^~HpS1*kxt;*)=Bt--7h!`%3! z!Wj3I=LsIwQ$-Oe{I|t^IV(IOvi&s6hF`U+EOtyyD-Y(Ur>9*NoEP1_ywlvRFLq&N 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O martelo olímpico feminino é uma bola de ferro de \Sexpr{m} kg presa a um fio de aço de 1,2 m. A atleta gira algumas vezes antes de lançar o martelo. Imediatamente antes de lançar, Anita girava o corpo forçando a bola a descrever um movimento circular de \Sexpr{L} m de raio a uma velocidade de \Sexpr{vel} m/s. Desprezando o efeito gravitacional, qual a intensidade da tração exercida pelo fio na esfera, imediatamente antes de ser lançada? Arredonde a resposta para o inteiro mais próximo. + +\begin{figure}[h!] + \centering + \includegraphics[height=5cm, keepaspectratio]{{Q03MCU.png}} +\end{figure} + +\end{question} + +\begin{solution} +%% Supply a solution here! +A força será \Sexpr{forca}. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{forca}} +%% \exname{Q03MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q03MCU.png b/BancoDeQuestoes/cinematica/MCU/Q03MCU.png new file mode 100644 index 0000000000000000000000000000000000000000..cbd8d7dfb23b2c8941e54b88c7f1d5ffd7f83d5b GIT binary patch literal 110449 zcmX_H18`k!w2f`scG5JB?KHN{##V1^HMZHfPsM*0-uC%5Wp+X_P!m!H%J#z88tXKxb+>yZQv=stAv)T zs)L2Ahq1Fcn5DggojJ3Msk6Dcy^EED>lI{=AQ%`Kn2flHnrGH|mv$VHOv=`eLlQZQ z;S@w|Ciki;0{NMHq&!&oS&wDd*&s5wKr;BklauOGil`sL(E3gv(qrJ)_38cb@cQpT{oQXP;QycZfZU$1Mo9gT$S05P z6iQv(+#W7BI_z6~yuI7kFDx2X%{XM}r;hF#8X5}d+&eZb8hChkexG^sW*g|~1*4Vx 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+include_supplement("Q04MCU.png") +@ +\usepackage[utf8]{inputenc} +\begin{question} +Na figura abaixo está representado um carretel composto de dois discos de papelão separados por 0,40 m, ligados rigidamente a um eixo que gira com frequência de \Sexpr{f} Hz. Uma bala, disparada paralelamente ao eixo do carretel, perfura os dois discos. + +\begin{figure}[h!] + \centering + \includegraphics[height=5cm, keepaspectratio]{{Q04MCU.png}} +\end{figure} + +Devido ao movimento do carretel, essas perfurações estão defasadas 30°, como mostra a figura. A partir desses dados determine o módulo da velocidade média máxima do projétil ao atravessar os discos. Sugestão: Note que o tempo para o projétil atravessar os dois discos é o mesmo em que ocorre a defasagem de 30° entre os furos $P_1$ e $P_2$. OBS: arredonde a resposta para uma decimal. + +\end{question} + +\begin{solution} +%% Supply a solution here! +A velocidade é \Sexpr{vel}. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{vel}} +%% \exname{Q04MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q04MCU.png b/BancoDeQuestoes/cinematica/MCU/Q04MCU.png new file mode 100644 index 0000000000000000000000000000000000000000..6ac825f043be31e6c75ae37dbb099128f4186076 GIT binary patch literal 56041 zcma%iRa9I}v?h`eg1fsr!CeyEgF6Hd9^5T>aA@46ad#)ULvU@}-CgGVcjmrNy|91< zt54NFdw*8p-xZ~h5eN{VprDXtq{UUBpkQ2~prDE2;eek6#4x-9Up_c}lTm{QmN&d< z7!(v4l#KXSHTR5@OgBBOLEOJxZc^vtf3Tp@3+V3FxElM!^J^B0r|>YnY`PZZIIZ#q zDr@f7yao-R5ErX?MAiPxwyl#&wQQsCqBV=%r%%GAre=DywL?6f&G(|DX%dFf{&&&c zgf%ex|L+oABg1or`F|_>^KTC-F#K6-Nze2mJ|BFMNG-hpElHF??H$!v$N9F9^oyu z(`TSZPvHOX;J&rBr8dFE#wKBChzjL|h!`0aS<_fEu&m>|xVUU=YZhD+E)!so z;4kW{niHbGvm)JTf308m$c``Q@q!06>A0)a;)(6*>iUs7>%V6fg}%DnmO5K+o1CFl 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z@vEe%@BH+V4&^xcIN0x)vdV5^b>3~W_p@Y{sPBAclMlZu8=&DWdLQ9GQAjBJIQicK z++YFpNj`)0vY^HK_keJwaKH)u`znb!IZ!fS65vXVGRT_I2Z)39TnL1N|ND>O5l|Yt zeg+bJd+hS)|Nj<`t^d}>= +## DATA GENERATION +m = sample(seq(50,90,10),1) +R = sample(2:4, 1) +mu = sample(1:5,1)*0.1 + +## Solution +omega = round(sqrt(10/mu*R),1) + +##Imagem +include_supplement("Q05MCU.png") +@ +\usepackage[utf8]{inputenc} +\begin{question} + +Um brinquedo muito comum em parques de diversões consiste em uma cabine cilíndrica de raio R onde uma pessoa entra na cabine e encosta na parede. O cilindro começa então a girar até que a velocidade angular atinja um valor determinado. Atingindo esse valor o chão começa a descer e no entanto a pessoa não cai; ela continua girando, como se estivesse grudada na parede. Suponha que uma pessoa tenha massa \Sexpr{m} Kg e que o raio do brinquedo seja \Sexpr{R} metros, sendo o coeficiente de atrito estático entre a pessoa e parede igual a $\mu$ = \Sexpr{mu} qual é a velocidade angular mínima, em radianos por segundo, para que a pessoa não caia? Arredonde para uma decimal. + +\begin{figure}[h!] + \centering + \includegraphics[height=5cm, keepaspectratio]{{Q05MCU.png}} +\end{figure} + +\end{question} + +\begin{solution} +A velocidade angular mínima é \Sexpr{omega}. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{omega}} +%% \exname{Q05MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q05MCU.png b/BancoDeQuestoes/cinematica/MCU/Q05MCU.png new file mode 100644 index 0000000000000000000000000000000000000000..162014489e82cfa37e43bfc3c8b63e6d5dea86f1 GIT binary patch literal 17065 zcmb7rWmr^S`0XKt5s48&MrlDo8B$tuDCzE!&Y`!s)RGZ)%Im2|Hegpstr|f1`A@Cpfo!;uY0swK>zdx)#$Is>ffFPBX6xZqC+W8yIv+1S z{Z7VtjL9>56o$J++4fF`@JnDW@Rw&P+96qk{2fGsw9{CmAuQ2=_l@vtv!^d4IjD&7 zv9Y2HfUwR!i6k`BdU=V>dp77V4PX4@!=OSeI^zX8EEJIfHZvgyZraJkq+OcMxs~YE zwC%h^jyUkW?DT!tM3SpH_xt8=LB$OA-!svL_of$eGeDla1;x^$Bo^?^&}hT^{Wp8 zol87&>6O8TFE=MBLwol{=$Cc3nsz(uI<_bVRu6sm+s-ER9ZO21=}NU&l&OR^jxIQQ 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Damien conseguiu completar uma volta completa no loop da figura utilizando a velocidade da própria corrida. Se o raio do loop é \Sexpr{R} m, sua massa de 60 Kg e g = 10 m/s², qual foi a velocidade mínima (em km/h) que Damien precisou alcançar para completar este feito? Arredonde para uma decimal. + +\begin{figure}[h!] + \centering + \includegraphics[height=5cm, keepaspectratio]{{Q06MCU.gif}} +\end{figure} + +\end{question} + +\begin{solution} +%% Supply a solution here! +A velocidade é \Sexpr{v} km/h. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{v}} +%% \exname{Q06MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q06MCU.gif b/BancoDeQuestoes/cinematica/MCU/Q06MCU.gif new file mode 100644 index 0000000000000000000000000000000000000000..0c4e4e85d8cbab72b183fe74adbd18c90d9c40b7 GIT binary patch literal 1670122 zcmV(&K;gefNk%w1VY31H0Qdg@0ssI400ja80RsR50|NvE00RXI2L=WQ2LT2M000O8 z1qlEJ3Ih)d0R;;K1`GfK3;+iX1P=}q5DyCv5C8%Y00$*)A!;cbDk&Q|DIXgu867JW5-S=L zD;gjx8z(Fo7%d+gE*v8+Ato*(HZK|&FCZ8%ARjL%d@vgvFe5K993U|xD>54xG9e%` zA{jCwB{d`_HX<80A|N*=95*L5H!Np3CLuU0JUJ^YIwdALCM!B8E;=b6J1QnSEiyYY zggh`lJuNIhG*mz=H&8l1P&_$MKt51FM^HmkRXjXZKSNbTR9HqrSV~n{ 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F é a força de sustentação e P é o peso do avião. Considerando a massa do avião como de \Sexpr{m} kg determine a intensidade da força F. Considere g = 10 m/s². + +\begin{figure}[h!] + \centering + \includegraphics[height=5cm, keepaspectratio]{{Q07MCU.png}} +\end{figure} + +\end{question} + +\begin{solution} +%% Supply a solution here! +A força será de \Sexpr{forca} N. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{forca}} +%% \exname{Q07MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q07MCU.png b/BancoDeQuestoes/cinematica/MCU/Q07MCU.png new file mode 100644 index 0000000000000000000000000000000000000000..bacc4ae219aa7c73f5e65634e82979ea86031ee3 GIT binary patch literal 13671 zcmb_j^+S};*L?`-QbIzy8<B1hRJvQbyE_E|0TJm20qO285s=QMyBn15cRt_0;oTo# zS@xNoXXehm=bm#mTuI?QCK@ps1VNb6A0$;E2<|(0K7|4gehQnctAk$%E)vpeC@3fk zYl^GjPXli?EmsvI4+=+T2XiZ1GYVHPM>7g>C8gI8gp#r$qc|+fIv}UPz%ZaVI3&HL z0wI{-vf;|&%H~QUARwS4pm1<;aPT0;z7wnGS7R85o+T%z<-uh)X;-H(ei?lRDK_I< zlCaKxg&+z@T2friGyQ1ELM%>m0r~V`B$MVa3Jr~_IuA>!q*3>3U-xR)Q>U!PUDw90 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A pá cortadeira da máquina ilustrada na figura abaixo gira em movimento circular uniforme a uma frequência de \Sexpr{f} rpm. Qual é a velocidade de um ponto extremo P da pá? Considere $\pi = 3$. Arredonde para uma decimal. + +\begin{figure}[h!] + \centering + \includegraphics[height=5cm, keepaspectratio]{{Q08MCU.png}} +\end{figure} + +\end{question} + +\begin{solution} +%% Supply a solution here! +A velocidade é \Sexpr{v} m/s. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{v}} +%% \exname{Q08MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q08MCU.png b/BancoDeQuestoes/cinematica/MCU/Q08MCU.png new file mode 100644 index 0000000000000000000000000000000000000000..d0bce7da1b0199914055048c5ad103c61405a556 GIT binary patch literal 86066 zcmXtf1xy^@*Ea65xE3p3To-pJ6u079+@-j?yR*0#FYfN{?p{jqB1OLW{qwz(5V9m2 zX6BxI?qerXSy2WZg%|}23JP8Jv!p5%6m%l+V}t|){N+A&p%eH8>mn|zj)a7?v8S{P zd?a#}(sEUEFn4t~b~b~uuy?RCV|FohHZ!w#v2<{~gzXWAf}((ul@wF=fE;#Nxs&oa z^F&RqSB~y?Tb4*xZzZ*Rn+tC6z3rNMzjVCR`n-(&z4kbsJTvo3T-5n2o6;Jo%lz#^ zBl2Oug_D*MCQ?rIm)~XAFk<dEd~75*Dl)hLQHr`{9UJs7VxWvXp+JPf!;><~ieWBl 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b/BancoDeQuestoes/cinematica/MCU/Q09MCU.Rnw @@ -0,0 +1,23 @@ +<<echo=FALSE, results=hide>>= +## DATA GENERATION +R = sample(seq(90,200,10),1) + +## Resposta +f = round(60*sqrt(10/(36*R)),1) +@ +\usepackage[utf8]{inputenc} +\begin{question} +Deseja-se construir uma nave espacial com uma seção rotacional para simular, por efeitos centrífugos, a gravidade. A seção terá um raio de \Sexpr{R} metros. Quantas rotações por minuto (RPM) deverá ter essa seção para simular a gravidade terrestre? (considere g = 10 m/s² e arredonde a resposta para uma decimal) + +\end{question} + +\begin{solution} +%% Supply a solution here! +A frequência é \Sexpr{f} rpm. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{f}} +%% \exname{Q09MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q10MCU.Rnw b/BancoDeQuestoes/cinematica/MCU/Q10MCU.Rnw new file mode 100644 index 0000000..c3fcb8d --- /dev/null +++ b/BancoDeQuestoes/cinematica/MCU/Q10MCU.Rnw @@ -0,0 +1,34 @@ +<<echo=FALSE, results=hide>>= +## DATA GENERATION EXAMPLE +R <- sample(1:5,1)*0.05 +v = 2^sample(2:5,1) * 3^sample(2:5,1) + +## Resposta +vms = v/3.6 +f = 10*vms/R + +##Imagem +include_supplement("Q10MCU.png") +@ +\usepackage[utf8]{inputenc} +\begin{question} +Anemômetros são instrumentos usados para medir a velocidade do vento. A sua construção mais conhecida é a proposta por Robinson em 1846, que consiste em um rotor com quatro conchas hemisféricas presas por hastes, conforme figura abaixo. Em um anemômetro de Robinson ideal, a velocidade do vento é dada pela velocidade linear das conchas. Se necessário considere $\pi=3$. Arredonde para uma decimal. + +\begin{figure}[h!] + \centering + \includegraphics[height=5cm, keepaspectratio]{{Q10MCU.png}} +\end{figure} + +Se em um anemômetro a distância entre as conchas e o centro de rotação é r = \Sexpr{R} cm, em um dia cuja velocidade do vento é v = \Sexpr{v} m/s, qual seria a frequência de rotação em RMP? + +\end{question} + +\begin{solution} +A frequência será f = \Sexpr{f} rpm. +\end{solution} + +%% META-INFORMATION +%% \extype{num} +%% \exsolution{\Sexpr{f}} +%% \exname{Q10MCU} +%% \extol{0.01} \ No newline at end of file diff --git a/BancoDeQuestoes/cinematica/MCU/Q10MCU.png b/BancoDeQuestoes/cinematica/MCU/Q10MCU.png new file mode 100644 index 0000000000000000000000000000000000000000..40eac177dc9690bbb81e74876d108278da4d8012 GIT binary patch literal 62568 zcmd>mg;$i@_cz_r(k0R@BHhi<A>AP%Ee+Bg(s1dL5^3pf5b5sj?uPg9UF-K(ytCF_ zddC^&ne&{p_op^tN(xeMP>4{VprGE!NQ<jLK|yPS|8|jJz%wBqDh$9Mu-`;w)R2&n z7S<G3!T%CENoYE$+I?|yHF7kAGPkv}F=PH_;%H`O`_016=>)b-5DJO{N=95n%`N>f 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zgI~27Hs!^E%6TGDBbb<Q0ly%Jx4p;q+&ZhNHICv)x4OjGe#LN28^5qwQW&6aO7s;H z7H*(-KS?AKJ#~_3nVHEl|96`tD;A4w66%kRi=%Ltsidc;&%|&tqS5Fp=?mI;yc3H# f|Nny@n*U8*V0kgIj-+8u1z+d&ObE4jhnW8XUYk6d literal 0 HcmV?d00001 From 403dd66a2003fb19c330ec0c127f9ce7315ac24c Mon Sep 17 00:00:00 2001 From: flavio <flaviomargarito@gmail.com> Date: Wed, 25 Sep 2019 00:34:30 -0300 Subject: [PATCH 2/4] =?UTF-8?q?Removendo=20arquivo=20desnecess=C3=A1rio.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- BancoDeQuestoes/eletromagnetismo/questoes.txt | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 BancoDeQuestoes/eletromagnetismo/questoes.txt diff --git a/BancoDeQuestoes/eletromagnetismo/questoes.txt b/BancoDeQuestoes/eletromagnetismo/questoes.txt deleted file mode 100644 index e69de29..0000000 From d2abb326e15a249fcc38b3a076bf588467282cf9 Mon Sep 17 00:00:00 2001 From: flavio <flaviomargarito@gmail.com> Date: Wed, 25 Sep 2019 00:34:58 -0300 Subject: [PATCH 3/4] =?UTF-8?q?Incluindo=20quest=C3=A3o=20de=20movimento?= =?UTF-8?q?=20uniforme.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- BancoDeQuestoes/cinematica/MU/Q15MU.Rnw | 65 +++++++++++++++++++++++++ 1 file changed, 65 insertions(+) create mode 100644 BancoDeQuestoes/cinematica/MU/Q15MU.Rnw diff --git a/BancoDeQuestoes/cinematica/MU/Q15MU.Rnw b/BancoDeQuestoes/cinematica/MU/Q15MU.Rnw new file mode 100644 index 0000000..a9e98bc --- /dev/null +++ b/BancoDeQuestoes/cinematica/MU/Q15MU.Rnw @@ -0,0 +1,65 @@ +<<echo=FALSE, results=hide>>= +## Funções +mu <- function(v,s,t) { + return(s + v*t) +} + +## Parâmetros +coordy <- sample(seq(0,20,5),2) +pt1x <- 0 +pt1y <- min(coordy) + +pt2x <- sample(seq(4,10,2),1) +pt2y <- max(coordy) + +v <- (pt2y - pt1y)/(pt2x - pt1x) +s_zero <- pt1y + +## Gráfico +x = 0:10 +y = mu(v = v, s = s_zero, t = x) + +## Resposta +@ + +\begin{question} + +De acordo com o gráfico a seguir encontre a função horária e a partir dela a velocidade e a posição inicial. Arredonde a resposta para duas decimais quando necessário. + +<<fig=TRUE, height=4, width=5, echo=FALSE, eps=FALSE, results=hide>>= +plot(y~x, type = 'l', main = "Posição vs tempo", lwd = 3, + xlim = c(-1,10), + ylim = c(0,20), + ylab = 'S(m)', + xlab = 't(s)') +grid (NULL,NULL, lty = 6, col = "black") +@ + + + \begin{answerlist} + + \item Velocidade + + \item Posição inicial + + \end{answerlist} +\end{question} + +\begin{solution} + + \begin{answerlist} + \item + $\Sexpr{s_zero}$m + + \item + $\Sexpr{v}$m/s + \end{answerlist} + +\end{solution} + +%% META-INFORMATION +%% \extype{cloze} +%% \exclozetype{num|num} +%% \exsolution{\Sexpr{v}|\Sexpr{s_zero}} +%% \exname{Q15MU} +%% \extol{0.1|0.1} \ No newline at end of file From bc6813e95d5ced6c3a95f282ab8740e58b02524c Mon Sep 17 00:00:00 2001 From: flavio <flaviomargarito@gmail.com> Date: Wed, 25 Sep 2019 00:35:28 -0300 Subject: [PATCH 4/4] =?UTF-8?q?Adicionando=20se=C3=A7=C3=A3o=20para=20o=20?= =?UTF-8?q?MCU.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- R/CRIAR-HTML.R | 11 +++++++++++ 1 file changed, 11 insertions(+) diff --git a/R/CRIAR-HTML.R b/R/CRIAR-HTML.R index 0c55e57..59d342a 100755 --- a/R/CRIAR-HTML.R +++ b/R/CRIAR-HTML.R @@ -13,6 +13,17 @@ exams2html(myexam, n = 1,solution=TRUE, edir = "./BancoDeQuestoes/acel", template = "plain8") +############### MCU ################## +## Definindo a pasta com as questoes do exame +myexam <- dir("./BancoDeQuestoes/cinematica/MCU", pattern = ".rnw", ignore.case=TRUE) + +## Gerando HTML com o arquivo da questao +set.seed(12018) +exams2html(myexam, n = 1,solution=TRUE, + encoding = "UTF-8", + edir = "./BancoDeQuestoes/cinematica/MCU", + template = "plain8") + ############### calorimetria ################## ## Definindo a pasta com as questoes do exame myexam <- dir("./BancoDeQuestoes/calorimetria/", pattern = ".rnw", ignore.case=TRUE)

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