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Консультация № 202130
05.02.2022, 10:42
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Здравствуйте. Помогите, пожалуйста, решить задачу.
В космосе построена конструкция в виде широкого кольца с внутренним радиусом R1 =30 м., внешним радиусом R2=300 м.и толщиной h= 1м. Средняя объёмная плотность этой конструкции достаточно однородна и равна p= 10 кг/м3. Определить силу гравитационного взаимодействия этой конструкции с космонавтом массой m0= 180 кг, который находится на оси стмметрии проходящей перпендикулярно плоскостям кольца на расстоянии L= 100 м.
Здравствуйте. Помогите, пожалуйста, решить задачу.
В космосе построена конструкция в виде широкого кольца с внутренним радиусом R1 =30 м., внешним радиусом R2=300 м.и толщиной h= 1м. Средняя объёмная плотность этой конструкции достаточно однородна и равна p= 10 кг/м3. Определить силу гравитационного взаимодействия этой конструкции с космонавтом массой m0= 180 кг, который находится на оси стмметрии проходящей перпендикулярно плоскостям кольца на расстоянии L= 100 м.
Обсуждение
05.02.2022, 13:01
общий
Адресаты:
Откуда надо отсчитывать расстояние L = 100 м ? Я догадываюсь, будто в расчёте гравитационного притяжения можно тело космонавта считать точкой. Тогда расстояние L можно отсчитывать либо от геометрического центра конструкции, либо от плоскости, ближайшей к космонавту. Разница в отсчётах всего h/2 = 0,5 м.
Простейший вариант: в процессе интегрирования принять кольцо пренебрежимо тонким (после вычисления объёма и массы конструкции). Его погрешность примерно 1%. Но надо знать, какую точность требует Ваш преподаватель?
У Вас есть методичка или ссылка на неё?
Как понимать Вашу просьбу "Помогите, пожалуйста, решить задачу" - Вы нуждаетесь в подсказках, или в быстром-кратком Ответе (без особых пояснений), или в подробном Решении (значительно дольше)?
Простейший вариант: в процессе интегрирования принять кольцо пренебрежимо тонким (после вычисления объёма и массы конструкции). Его погрешность примерно 1%. Но надо знать, какую точность требует Ваш преподаватель?
У Вас есть методичка или ссылка на неё?
Как понимать Вашу просьбу "Помогите, пожалуйста, решить задачу" - Вы нуждаетесь в подсказках, или в быстром-кратком Ответе (без особых пояснений), или в подробном Решении (значительно дольше)?
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