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Консультация № 197147
20.11.2019, 02:15
0.00 руб.
30.11.2019, 04:12
1
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Некоторое тело вращается вокруг закрепленной оси без трения. Его момент импульса относительно оси вращения зависит от времени по закону L = A(t/[$964$])2. Через время t =1 с тело имеет угловое ускорение [$949$]. Найти момент инерции тела, если [$964$] =1 с. A = 1 кг[$183$]м2/с, [$949$] = 1 рад/с2.
Некоторое тело вращается вокруг закрепленной оси без трения. Его момент импульса относительно оси вращения зависит от времени по закону L = A(t/[$964$])2. Через время t =1 с тело имеет угловое ускорение [$949$]. Найти момент инерции тела, если [$964$] =1 с. A = 1 кг[$183$]м2/с, [$949$] = 1 рад/с2.
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Обсуждение
29.11.2019, 20:48
общий
это ответ
Здравствуйте, dar777!
Для тела, вращающегося вокруг неподвижной оси с угловой скоростью [$969$], моменты импульса и инерции относительно этой оси связаны соотношением:
откуда
В данном случае с учётом исходных данных [$964$] = 1 с, A = 1 кг[$183$]м[sup]2[/sup]/с момент импульса равен L = t[sup]2[/sup]. Угловое ускорение тела равно [$949$] = 1 с[sup]-2[/sup] в момент времени t = 1 c, при этом оно равно 0 в момент времени t = 0 и зависит от времени по линейному закону на промежутке от 0 до 2 с (это следует из приложенного графика). Следовательно, [$949$](t) = t и [$969$](t) = [$8747$][$949$](t)dt = t[sup]2[/sup]/2. Тогда при 0 < t < 2
кг[$183$]м2.
Для тела, вращающегося вокруг неподвижной оси с угловой скоростью [$969$], моменты импульса и инерции относительно этой оси связаны соотношением:
откуда
В данном случае с учётом исходных данных [$964$] = 1 с, A = 1 кг[$183$]м[sup]2[/sup]/с момент импульса равен L = t[sup]2[/sup]. Угловое ускорение тела равно [$949$] = 1 с[sup]-2[/sup] в момент времени t = 1 c, при этом оно равно 0 в момент времени t = 0 и зависит от времени по линейному закону на промежутке от 0 до 2 с (это следует из приложенного графика). Следовательно, [$949$](t) = t и [$969$](t) = [$8747$][$949$](t)dt = t[sup]2[/sup]/2. Тогда при 0 < t < 2
кг[$183$]м2.
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