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Консультация № 200172
27.01.2021, 20:35
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Здравствуйте! У меня возникли сложности с таким вопросом:Чему равно отношение кинетической энергии точки, совершающей
гармоническое колебание, к ее потенциальной энергии для момента,
когда смещение точки от положения равновесия составляет х = А/7, где А
—амплитудаколебания. x=Acos(ωt+φ)
гармоническое колебание, к ее потенциальной энергии для момента,
когда смещение точки от положения равновесия составляет х = А/7, где А
—амплитудаколебания. x=Acos(ωt+φ)
Обсуждение
27.01.2021, 21:43
общий
это ответ
Здравствуйте, aidakozhamzharova!
Дано:
х1=А/7
х(t)=A*cos([$969$]*t+[$966$]o)=A*cos[$966$]
Найти:
T1/П1
Решение:
Согласно закону сохранения энергии, полная энергия гармонической колебательной системы
E=T+П=const
в любой момент времени,
где Т - кинетическая энергия, П - потенциальная энергия точки;
T=mv2/2; П=kx2/2
В момент максимального отклонения точки от положения равновесия (xo=A)
T=0, E=Пмах=kA2/2
В момент, когда x1=A/7;
П1=kA2/(2*49) = (1/49)Пmax = (1/49)E;
тогда
T1=E-П1 = (48/49)E;
тогда искомое соотношение
T1/П1=48
Дано:
х1=А/7
х(t)=A*cos([$969$]*t+[$966$]o)=A*cos[$966$]
Найти:
T1/П1
Решение:
Согласно закону сохранения энергии, полная энергия гармонической колебательной системы
E=T+П=const
в любой момент времени,
где Т - кинетическая энергия, П - потенциальная энергия точки;
T=mv2/2; П=kx2/2
В момент максимального отклонения точки от положения равновесия (xo=A)
T=0, E=Пмах=kA2/2
В момент, когда x1=A/7;
П1=kA2/(2*49) = (1/49)Пmax = (1/49)E;
тогда
T1=E-П1 = (48/49)E;
тогда искомое соотношение
T1/П1=48
Об авторе:
С уважением
shvetski
С уважением
shvetski
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