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Консультация № 194819
28.02.2019, 00:14
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
5.Над рекой между берегами натянут трос, закреплённый на двух деревьях, находящихся друг от друга на расстоянии 20 м, причём один узел крепления находится выше другого на 4 м (“переправа на карабинах”).
Определите силу натяжения ветвей троса от Вашего веса (80*g), когда Вы находитесь в середине переправы, если провисание троса в этот момент равно 1,4 м. (Задача рассматривается как статическая).
5.Над рекой между берегами натянут трос, закреплённый на двух деревьях, находящихся друг от друга на расстоянии 20 м, причём один узел крепления находится выше другого на 4 м (“переправа на карабинах”).
Определите силу натяжения ветвей троса от Вашего веса (80*g), когда Вы находитесь в середине переправы, если провисание троса в этот момент равно 1,4 м. (Задача рассматривается как статическая).
Обсуждение
02.03.2019, 11:36
общий
это ответ
Здравствуйте, dar777!
Выполним рисунок к задаче.
Имеем
м -- расстояние между деревьями;
м -- расстояние между узлами крепления троса по высоте;
м -- провисание троса;
Н -- величина силы тяжести, действующей на трос.
Обозначим
Выполним промежуточные расчёты.
(м);
(м);
(м);
(м);
Составим уравнения равновесия точки
троса в проекциях на оси 
и 
соответственно.
Из уравнения (1) получим, что
и, подставив это выражение в уравнение (2), вычислим
(Н);
(Н).
Выполним рисунок к задаче.
Имеем
м -- расстояние между деревьями; м -- расстояние между узлами крепления троса по высоте; м -- провисание троса; Н -- величина силы тяжести, действующей на трос.Обозначим
Выполним промежуточные расчёты. (м); (м); (м); (м);Составим уравнения равновесия точки
троса в проекциях на оси и соответственно.Из уравнения (1) получим, что
и, подставив это выражение в уравнение (2), вычислим
(Н); (Н).
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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