Задача №11.12

Условие

Точка участвует одновременно в двух взаимно перпендикулярных затухающих колебаниях согласно уравнениям
x = Ae-ht cos (kt + ε), y = Ae-ht sin (kt + ε).
Определить проекции скорости точки на оси декартовых и полярных координат и найти модуль скорости точки.

Решение




Предыдущая задача №11
Определить уравнения движения и траекторию точки M колеса вагона радиуса R=0,5 м, отстоящей от оси на расстоянии a=0,6 м и лежащей в начальный момент на 0,1 м ниже рельса, если вагон движется по прямолинейному пути со скоростью v=10 м/с. Найти также моменты времени, когда эта точка будет проходить свое нижнее и верхнее положения, и проекции ее скорости на оси Ox, Oy в эти моменты времени. Ось Ox совпадает с рельсом, ось Oy проходит через начальное нижнее положение точки.
Следующая задача №13
Какую кривую опишет корабль, идущий под постоянным курсовым углом α к географическому меридиану? Корабль принять за точку, движущуюся по поверхности земного шара. Указание. Воспользоваться сферическими координатами r, λ и φ.
Источник: Решебник Мещерского 12 класс
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1.1
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47.1
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49.1
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56.7
56.9
ПравообладателямПользовательское соглашениеПолитика конфиденциальности • Контакты: e-mail: helplearn@yandex.ru