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Консультация № 199264
06.10.2020, 18:15
0.00 руб.
0
5
1
Здравствуйте! У меня возникли сложности с таким вопросами:
Помогите пожалуйста решить. Заранее спасибо!
Частица движется так что ее скорость зависит от времени по закону v (t) = i (A* t/ τ – B* t²/ τ²) + J * B (t/ τ)², где А, В - постоянные величины, i , J единичные орты в декартовой системе координат. Через сколько секунд ускорение частицы будет перпендикулярно оси х, если t = 1 c. А = 5 м/с, В = 7 м/с.
Помогите пожалуйста решить. Заранее спасибо!
Частица движется так что ее скорость зависит от времени по закону v (t) = i (A* t/ τ – B* t²/ τ²) + J * B (t/ τ)², где А, В - постоянные величины, i , J единичные орты в декартовой системе координат. Через сколько секунд ускорение частицы будет перпендикулярно оси х, если t = 1 c. А = 5 м/с, В = 7 м/с.
Обсуждение
09.10.2020, 22:46
общий
09.10.2020, 22:47
Адресаты:
проверьте там у себя в тестах ответ... у меня получилось [$8776$]0,357 с. Если есть такой, напишу решение.
И еще - у вас там снова, вероятно, опечатка в данных: ни t=1 c, а [$964$]=1 с, так?
И еще - у вас там снова, вероятно, опечатка в данных: ни t=1 c, а [$964$]=1 с, так?
Об авторе:
С уважением
shvetski
С уважением
shvetski
10.10.2020, 08:34
общий
это ответ
Здравствуйте, savelev.perm.
Ускорение будет перпендикулярно оси х, когда проекция вектора ускорения на ось х будет равна 0.
ах=0
Проекцию ах найдем как производную от проекции скорости на ось х
ах=v'x=[(A/т)*t-(B/т2)*t2]'
ах=A/т - (2В/т2)*t
При t=1 c, ax=0
Следовательно
t=A*т/2В = 5 м/с * 1 с /2*7 м/с = 5/14 [$8776$] 0,357 с
Ускорение будет перпендикулярно оси х, когда проекция вектора ускорения на ось х будет равна 0.
ах=0
Проекцию ах найдем как производную от проекции скорости на ось х
ах=v'x=[(A/т)*t-(B/т2)*t2]'
ах=A/т - (2В/т2)*t
При t=1 c, ax=0
Следовательно
t=A*т/2В = 5 м/с * 1 с /2*7 м/с = 5/14 [$8776$] 0,357 с
Об авторе:
С уважением
shvetski
С уважением
shvetski
12.10.2020, 16:42
общий
Адресаты:
Так я и прошу, чтобы вы написали решение...У меня нет решения..только ответ
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