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Консультация № 193856
09.11.2018, 10:52
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Здравствуйте! Прошу помощи в следующем вопросе:помогите пожалуйста в решении следующей задачи на тему механические колебания.
Математический маятник совершает свободные незатухающие гармонические колебания, дифференциальное уравнение которых имеет вид: х''+(А^2)∙х=0.. Найти собственную частоту ν0 колебаний маятника (в Гц).
Математический маятник совершает свободные незатухающие гармонические колебания, дифференциальное уравнение которых имеет вид: х''+(А^2)∙х=0.. Найти собственную частоту ν0 колебаний маятника (в Гц).
Обсуждение
11.11.2018, 10:53
общий
это ответ
Здравствуйте, kevin!
В общепринятых обозначениях дифференциальное уравнение свободных незатухающих гармонических колебаний
имеет вид
причём 
-- круговая (циклическая) частота собственных колебаний маятника. Значит, при обозначениях, использованных составителем Вашей задачи, получим 
и 
-- частота собственных колебаний маятника.
В общепринятых обозначениях дифференциальное уравнение свободных незатухающих гармонических колебаний
имеет вид
причём -- круговая (циклическая) частота собственных колебаний маятника. Значит, при обозначениях, использованных составителем Вашей задачи, получим и -- частота собственных колебаний маятника.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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