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Консультация № 200633
12.04.2021, 14:41
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Здравствуйте! Прошу помощи в следующем вопросе: тело брошено под углом "а" к горизонту. по заданным параметрам движения материальной точки определить все недостающие параметры. решение задачи сопроводить чертежом, на котором показать все векторные величины. ускорение свободного падения принять равным g=10 м/с^2.
угол "а" = 30. начальная скорость v0=20,0 м/с. момент времени t=0,5 с. полное время движения tп=2,0 с.
найти проекции вектора скорости на оси ОХ и ОY - vx и vy. для момента времени t.
найти проекции вектора перемещения на оси ОХ и ОY - sx и sy. для момента времени t.
найти нормальное и тангенциальное ускорения - аН и аТ. для момента времени t.
найти радиус кривизны R в момент времени t.
найти s - дальность полёта.
найти h - максимальная высота полёта.
угол "а" = 30. начальная скорость v0=20,0 м/с. момент времени t=0,5 с. полное время движения tп=2,0 с.
найти проекции вектора скорости на оси ОХ и ОY - vx и vy. для момента времени t.
найти проекции вектора перемещения на оси ОХ и ОY - sx и sy. для момента времени t.
найти нормальное и тангенциальное ускорения - аН и аТ. для момента времени t.
найти радиус кривизны R в момент времени t.
найти s - дальность полёта.
найти h - максимальная высота полёта.
Обсуждение
13.04.2021, 00:04
общий
это ответ
Здравствуйте, vladislav.makeev88!
Дано:
[$945$]o=30[$186$]
vo=20м/с
t1=0,5c
tп=2,0с
Найти:
1. v1x; v1y
2. S1x; S1y
3. an1; aт1
4. R1
5. S; H
Решение:
Сразу чертим траекторию движения тела - параболу, чтоб было похоже на правду... начальный угол [$945$]o +/- 30[$186$] и далее по обстановке: что считаем, то и чертим.
1. Проекции начальной скорости на оси координат:
vox=vo*cos[$945$] = 17,3м/с;
voy=vo*sin[$945$] = 10,0м/с.
Проекции скорости v1 на оси координат:
v1x=vox=17,3м/с;
v1y=voy-g*t1=5м/с.
Отсюда
v1=[$8730$](v1x2+v1y2)=18м/с.
2. Проекции вектора перемещения на оси координат:
S1x=vox*t1=8,65м;
S1y=voy*t1-(1/2)gt12 = 3,75м.
3. Тангенциальное ускорение:
aт1=(v1xa1x+v1ya1y)/v1 =
= v1y*g/v1 = 2,78 м/с2.
Нормальное ускорение:
an1=[$8730$](g2-aт12) = 9,6 м/с2.
4. Радиус кривизны в точке (x1;y1)
R1=v12/an1 = 33,75 м.
5. Дальность полета:
S=vox*tп=34,6 м.
Максимальная высота подъема:
H=voy2/2g = 5 м.
***
Вроде всё, удачи
Дано:
[$945$]o=30[$186$]
vo=20м/с
t1=0,5c
tп=2,0с
Найти:
1. v1x; v1y
2. S1x; S1y
3. an1; aт1
4. R1
5. S; H
Решение:
Сразу чертим траекторию движения тела - параболу, чтоб было похоже на правду... начальный угол [$945$]o +/- 30[$186$] и далее по обстановке: что считаем, то и чертим.
1. Проекции начальной скорости на оси координат:
vox=vo*cos[$945$] = 17,3м/с;
voy=vo*sin[$945$] = 10,0м/с.
Проекции скорости v1 на оси координат:
v1x=vox=17,3м/с;
v1y=voy-g*t1=5м/с.
Отсюда
v1=[$8730$](v1x2+v1y2)=18м/с.
2. Проекции вектора перемещения на оси координат:
S1x=vox*t1=8,65м;
S1y=voy*t1-(1/2)gt12 = 3,75м.
3. Тангенциальное ускорение:
aт1=(v1xa1x+v1ya1y)/v1 =
= v1y*g/v1 = 2,78 м/с2.
Нормальное ускорение:
an1=[$8730$](g2-aт12) = 9,6 м/с2.
4. Радиус кривизны в точке (x1;y1)
R1=v12/an1 = 33,75 м.
5. Дальность полета:
S=vox*tп=34,6 м.
Максимальная высота подъема:
H=voy2/2g = 5 м.
***
Вроде всё, удачи
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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