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Консультация № 195898
22.06.2019, 20:29
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Вопрос на изображении
Вопрос на изображении
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Обсуждение
27.06.2019, 15:13
общий
02.11.2021, 15:50
это ответ
Здравствуйте, third_life!
2. Циркуляция векторного поля
вдоль контура L определяется интегралом
который можно вычислить по формуле Грина:
где D - область, ограниченная контуром L. В данном случае
и
Данный двойной интеграл численно равен площади области D = {0 [$8804$] x [$8804$] 1, 0 [$8804$] y [$8804$] 2x}, представляющей собой прямоугольный треугольник размером 1 на 2. Его площадь может быть вычислена непосредственно и равна 1[$183$]2/2 = 1. Соответственно , циркуляция будет равна -3[$183$]1 = -3.
5. В общем случае статический момент относительно оси Ox плоской фигуры D с плотностью [$961$](x, y) определяется интегралом
В данном случае для однородной фигуры можно считать [$961$] [$8801$] 1, фигура D = {0 [$8804$] x [$8804$] 4, [$8730$]x [$8804$] y [$8804$] 2[$8730$]x} и соответствующий двойной интеграл сводится к повторному:
2. Циркуляция векторного поля
вдоль контура L определяется интегралом
который можно вычислить по формуле Грина:
где D - область, ограниченная контуром L. В данном случае
и
Данный двойной интеграл численно равен площади области D = {0 [$8804$] x [$8804$] 1, 0 [$8804$] y [$8804$] 2x}, представляющей собой прямоугольный треугольник размером 1 на 2. Его площадь может быть вычислена непосредственно и равна 1[$183$]2/2 = 1. Соответственно , циркуляция будет равна -3[$183$]1 = -3.
5. В общем случае статический момент относительно оси Ox плоской фигуры D с плотностью [$961$](x, y) определяется интегралом
В данном случае для однородной фигуры можно считать [$961$] [$8801$] 1, фигура D = {0 [$8804$] x [$8804$] 4, [$8730$]x [$8804$] y [$8804$] 2[$8730$]x} и соответствующий двойной интеграл сводится к повторному:
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