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Консультация № 200762
29.04.2021, 15:19
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Твёрдое тело начинает вращаться вокруг оси Z с угловой скоростью, проекция которой изменяется во времени, как показано на графике. В какой момент времени угол поворота тела относительно начального положения будет максимальным?
а) 10 с б) 1 с в) 2 с г) 9 с
Твёрдое тело начинает вращаться вокруг оси Z с угловой скоростью, проекция которой изменяется во времени, как показано на графике. В какой момент времени угол поворота тела относительно начального положения будет максимальным?
а) 10 с б) 1 с в) 2 с г) 9 с
Прикрепленные файлы:
Обсуждение
30.04.2021, 15:47
общий
это ответ
Здравствуйте, Дмитрий!
Предлагаю Вам следующее решение задачи.
Дано: график изменения проекции угловой скорости твёрдого тела от времени.
Определить: в какой момент времени угол поворота тела относительно начального положения будет максимальным
Угол поворота твёрдого тела, скорость вращения которого не меняет своего знака, равен площади фигуры, обозначенной синим цветом (рисунок в прикреплённом файле), и достигает своего максимального значения в конце движения, то есть в момент времени
с.
Предлагаю Вам следующее решение задачи.
Дано: график изменения проекции угловой скорости твёрдого тела от времени.
Определить: в какой момент времени угол поворота тела относительно начального положения будет максимальным
Решение и ответ
Угол поворота твёрдого тела, скорость вращения которого не меняет своего знака, равен площади фигуры, обозначенной синим цветом (рисунок в прикреплённом файле), и достигает своего максимального значения в конце движения, то есть в момент времени
с.
Прикрепленные файлы:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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