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A figura mostra duas barras AC e BC que suportam, em equilíbrio, uma força F aplicada no ponto C. Para que os esforços nas barras AC e BC sejam, respectivamente, 36 N (compressão) e 160 N (tração), o valor e o sentido das componentes vertical e horizontal da força F devem ser:
Observação:
Despreze os pesos das barras e adote √3 = 1,7.
A figura apresenta, esquematicamente, uma lente convergente de distância focal f
posicionada no plano de transição entre o vácuo e um material de índice de refração n.
O fator de ampliação (tamanho da imagem dividido pelo tamanho do objeto) de um
objeto muito pequeno (se comparado com as dimensões da lente) colocado a uma
distância p da lente é:
A figura composta por dois materiais sólidos diferentes A e B, apresenta um processo de condução de calor, cujas temperaturas não variam com o tempo. É correto afirmar que a temperatura T2 da interface desses materiais, em kelvins, é:
Observações:
• T1: Temperatura da interface do material A com o meio externo
• T3: Temperatura da interface do material B com o meio externo
• KA: Coeficiente de condutividade térmica do material A
• KB: Coeficiente de condutividade térmica do material B
Cada um dos quatro quadrados menores da figura acima é pintado aleatoriamente de
verde, azul, amarelo ou vermelho. Qual é a probabilidade de que ao menos dois
quadrados, que possuam um lado em comum, sejam pintados da mesma cor?
Seja f(x) = |3
− log(
x)| , x
∈
ℜ . Sendo n um número inteiro positivo, a desigualdade 
somente é possível se:
Obs.: log representa a função logarítmica na base 10.
Considere o sistema abaixo, onde x1, x2, x3 e Z pertencem ao conjunto dos números complexos.
O argumento de Z, em graus, para que x3 seja um número real positivo é:
Obs.: i = √−1
Seja o polinômio p(x) = x3+ (ln a) x +eb, onde a e b são números reais positivos diferentes de zero. A soma dos cubos das raízes de p(x) depende
Obs.: e representa a base do logaritmo neperiano e ln a função logaritmo neperiano.
Considere o sistema 
, onde x e y são números inteiros.
O valor de x3 + y2 + x2 + y é:
O valor da expressão 
,onde a é um número real e a∈(-1,0), é:
Considere o determinante de uma matriz de ordem n definido por:
Sabendo que ∆1 = 1, o valor de ∆10 é
Sejam r, s, t e v números inteiros positivos tais que r/s < t/v . Considere as seguintes relações:
O número total de relações que estão corretas é:
Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle.
Two platoons of U.S. Army scouts are in a field deep in the notorious “Triangle of Death” south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man who’s warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IED’s are, which means he is almost certainly a former Sunni insurgent.
The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They don’t realize it’s just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house.
Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land.
That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan – a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED.
Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle.
Two platoons of U.S. Army scouts are in a field deep in the notorious “Triangle of Death” south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man who’s warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IED’s are, which means he is almost certainly a former Sunni insurgent.
The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They don’t realize it’s just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house.
Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land.
That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan – a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED.
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