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Консультация № 198279
17.04.2020, 09:23
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Частица движется равноускоренно в координатной плоскости XY с начальной скоростью v0=Ai+Bj и ускорением a=Ci+Dj. Найти модули векторов скорости v, тангенциального aT и нормального an ускорений, а также радиус кривизны траектории R в момент времени t.
Частица движется равноускоренно в координатной плоскости XY с начальной скоростью v0=Ai+Bj и ускорением a=Ci+Dj. Найти модули векторов скорости v, тангенциального aT и нормального an ускорений, а также радиус кривизны траектории R в момент времени t.
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Обсуждение
21.04.2020, 16:13
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22.04.2020, 08:17
общий
это ответ
Здравствуйте, akhanova.ksu!
С учётом исходных данных
при постоянном ускорении зависимость скорости от времени имеет вид
откуда модуль вектора скорости равен
модуль тангенциального ускорения составит
модуль полного ускорения постоянен и равен
Так как
то модуль нормального ускорения равен
В частности, для момента времени t = 2 c имеем
м/с,
м/с2.
м/с2.
Наконец, поскольку нормальное ускорение тела, движущегося со скоростью v по траектории с радиусом кривизны R равно
то
м.
С учётом исходных данных
при постоянном ускорении зависимость скорости от времени имеет вид
откуда модуль вектора скорости равен
модуль тангенциального ускорения составит
модуль полного ускорения постоянен и равен
Так как
то модуль нормального ускорения равен
В частности, для момента времени t = 2 c имеем
м/с, м/с2. м/с2.Наконец, поскольку нормальное ускорение тела, движущегося со скоростью v по траектории с радиусом кривизны R равно
то
м.
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