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Консультация № 186096
19.05.2012, 09:07
93.06 руб.
0
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Найти логарифмический декремент затухания математического маятника, если за время t=1 мин амплитуда колебаний уменьшилась в 2 раза. Длина маятника L=1м.
Найти логарифмический декремент затухания математического маятника, если за время t=1 мин амплитуда колебаний уменьшилась в 2 раза. Длина маятника L=1м.
Обсуждение
19.05.2012, 11:58
общий
это ответ
Здравствуйте, Посетитель - 373608!
(Логарифмический) декремент затухания - логарифм отношения двух последовательных амплитуд. Т.е.
.
Считаем, что степень убыли колебаний за период примерно постоянна, т.е.
.
Тогда осталось только найти количество колебаний, совершённых маятником. Период
с.
Число колебаний за время t:
раз.
.
.
Т.е. искомый логарифмический декремент затухания
.
(Логарифмический) декремент затухания - логарифм отношения двух последовательных амплитуд. Т.е.
.Считаем, что степень убыли колебаний за период примерно постоянна, т.е.
.Тогда осталось только найти количество колебаний, совершённых маятником. Период
с.Число колебаний за время t:
раз...Т.е. искомый логарифмический декремент затухания
.
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