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Консультация № 199874
15.12.2020, 09:40
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе: Математический маятник длиной l = 1 м совершает затухающие колебания в среде, логарифмический декремент затухания которой = 1,26. Определить логарифмический декремент затухания c маятника, если сопротивление среды возрастает в 2 раза.
Обсуждение
21.12.2020, 04:29
общий
это ответ
Здравствуйте, ira.medvedeva00!
Для затухающих колебаний с коэффициентом затухания [$946$] их период определяется выражением
а логарифмический декремент затухания равен
откуда
Если сопротивление среды изменяется в n раз, то во столько же раз изменяется коэффициент затухания. Для нового коэффициента затухания [$946$]' = n[$946$] будем иметь
В данном случае для n = 2 и [$955$] = 1.26 получаем новое значение логарифмического декремента затухания:
Для затухающих колебаний с коэффициентом затухания [$946$] их период определяется выражением
а логарифмический декремент затухания равен
откуда
Если сопротивление среды изменяется в n раз, то во столько же раз изменяется коэффициент затухания. Для нового коэффициента затухания [$946$]' = n[$946$] будем иметь
В данном случае для n = 2 и [$955$] = 1.26 получаем новое значение логарифмического декремента затухания:
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