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Консультация № 173408
18.10.2009, 23:15
0.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:
1. 20. Кинематические уравнения движения двух материальных точек имеют вид x1 = A1t + B1t2 + C1t3 и x2 = A2t + В2t2 + С2t3, где В1 = 4 м/с2, C1 = –3 м/с3, В2 = –2 м/с2, С2 = 1 м/с3. Определить момент времени, для которого ускорения этих точек будут равны.
Должно получиться : 0,5 с.
1. 20. Кинематические уравнения движения двух материальных точек имеют вид x1 = A1t + B1t2 + C1t3 и x2 = A2t + В2t2 + С2t3, где В1 = 4 м/с2, C1 = –3 м/с3, В2 = –2 м/с2, С2 = 1 м/с3. Определить момент времени, для которого ускорения этих точек будут равны.
Должно получиться : 0,5 с.
Обсуждение
19.10.2009, 00:02
общий
это ответ
Здравствуйте, kot31.
Уравнения координат
x1 = A1t + B1t2 + C1t3
x2 = A2t + B2t2 + C2t3
Уравнения скоростей (производные от координат)
v1 = x1' = A1 + 2B1t + 3C1t2
v2 = x2' = A2 + 2B2t + 3C2t2
Уравнения ускорений (производные от скоростей)
a1 = v1' = x1'' = 2B1 + 6C1t = 8-18t (м/с2)
a2 = v2' = x2'' = 2B2 + 6C2t = -4+6t (м/с2)
a1=a2
8-18t=-4+6t
12=24t
t=0,5 c
Уравнения координат
x1 = A1t + B1t2 + C1t3
x2 = A2t + B2t2 + C2t3
Уравнения скоростей (производные от координат)
v1 = x1' = A1 + 2B1t + 3C1t2
v2 = x2' = A2 + 2B2t + 3C2t2
Уравнения ускорений (производные от скоростей)
a1 = v1' = x1'' = 2B1 + 6C1t = 8-18t (м/с2)
a2 = v2' = x2'' = 2B2 + 6C2t = -4+6t (м/с2)
a1=a2
8-18t=-4+6t
12=24t
t=0,5 c
5
Форма ответа
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