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Консультация № 146132
05.10.2008, 20:10
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У меня такой вопрос: где находится центр масс подвешенной за оба конца нити?
У меня такой вопрос: где находится центр масс подвешенной за оба конца нити?
Обсуждение
Неизвестный
05.10.2008, 22:07
общий
это ответ
Здравствуйте, Sava306!
В точке, равноудалённой от обеих концов и в центре плоскости поперечного сечения нити.
В точке, равноудалённой от обеих концов и в центре плоскости поперечного сечения нити.
Неизвестный
05.10.2008, 22:16
общий
Ещё точнее - в центре отрезка, соединяющего концы нити. То есть, если нить натянута, то мой предыдущий ответ верен, а если она "провисает", то центр масс будет за пределами нити.
Неизвестный
06.10.2008, 21:15
общий
ммм...спасибо Mind!
нить провисает, да...а как построением найти центр масс? То, что он за пределами нити и на прямой, проходящей через точку, равноудаленную от концов, это понятно...а вот что конкретно за точка???
это правда, что центры масс вот такой нити и стержня такой же длины, согнутого пополам, будут на одном уровне??
нить провисает, да...а как построением найти центр масс? То, что он за пределами нити и на прямой, проходящей через точку, равноудаленную от концов, это понятно...а вот что конкретно за точка???
это правда, что центры масс вот такой нити и стержня такой же длины, согнутого пополам, будут на одном уровне??
11.10.2008, 00:55
общий
Нить [u]всегда[/u] провисает, образуя т.н. "цепную линию". Поверхность, образуемая вращением цепной линии вокруг оси абсцисс, называется "катеноид". Зная площадь этой поверхности и длину образующей её цепной линии, можно, воспользовавшись 1-й теоремой Гульдена, найти р-ние центра масс от оси абсцисс. Формулу, выражающую длину дуги цепной линии, я нашёл, а вот для площади поверхности катеноида найти не смог. Поскольку вывод подобных формул - задача чисто математическая, ИМХО, надеюсь, Вам помогут в соотв. рассылке.
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