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1. Блок укреплен на вершине двух наклонных плоскостей, составляющих с горизонтом углы альфа(A) = 30 градусов и бетта(B) = 45. Гири равной массы (m1 = m2 = 2 кг) соединены нитью, перекинутой через блок. Считая нить ии блок невесомыми, принимая коэффициенты трения гирь о наклонные плоскости равными f1 = f2 = f = 0.1 и принебрегая трением в блоке, определить: 1) ускорение, с которым движутся гири; 2) силу натяжения нити. Я составил уравнения по II Закону Ньютона для каждого блока, из нее нашел ускорение, с ответом совпало [~=0.244 м/(с^2)]. Оттуда же выразил силу натяжения Т, но результат получился ровно в 2 раза меньше[6Н], чем в ответе[12Н]. Я что то не учел или т.к. груза два, то и итоговый результат нужно умножать на 2 ?
2. На железнодорожной платформе установлена безоткатная пушка, из которой производится выстрел вдоль полотна под углом A = 45 градусов к горизонту. Масса платформы с пушкой M = 20 т, масса снаряда m = 10 кг, коэффициент трения между колесами платформы и рельсами f = 0,002. Опреелить скорость снаряда, если после выстрела платформа и откатилась на расстояние s = 3 м. Затруднение вызывает на выражении силы, кот. сообщается платформе после выстрела.
Обсуждение
Неизвестный
19.12.2006, 10:40
общий
1) В Вашем случаеm1*a=T-P*sin(alpha) = m2*a = P*sin(betta)-TОтсюда при равенстве m1= m2 легко получаемT=P*[sin(alpha)+sin(betta)]/2 = 11,82 Н
2. А не нужна Вам сила, используйте импульс. По пути, пройденному платформой после выстрела под действием силы трения находите ее начальную горизонтальную скорость после выстрела. Затем пишете закон сохранения импульса в момент выстрела в системе снаряд-платформа с пушкой в горизонтальной проекции. Малым изменением импульса под влиянием силы трения в момент выстрела можно пренебречь ввиду краткости выстрела, поэтому система снаряд-платформа по горизонтали замкнута. Т.к. суммарный импульс до выстрела равен нулю, то горизонтальная составляющая импульса снаряда равна таковой для платформы с пушкой. Отсюда и находите скорость снаряда.
Удачи Вам!
Неизвестный
21.12.2006, 18:32
общий
Boriss, спасибо разобрался, когда переносл на 2 забыл разделить :)
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