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Консультация № 176521

05.02.2010, 23:01

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0 1 1

Образование

Здравствуйте!
Помогите решить задачу:

Груз маятника совершает синусоидальные колебания с периодом Т=6пи(с) и амплитудой А=5см, двигаясь вдоль оси "Ох". Положения равновесия груза совпадает с нулевой точкой на оси "Ох". Определить проекцию скорости груза на ось "Ох" через время t=пи(с) от начала движения,если начальная фаза a=(пи/3).

СПАСИБО

Обсуждение

давно

Посетитель
226425
1567

06.02.2010, 06:25

общий

это ответ

Здравствуйте, Миронычев Виталий.
Дано:
Т=6п с
А=5 см
[$966$]₀=п/3
t₁=п с
Найти: v₁
Решение:
Уравнение колебаний в общем виде
x=A*sin([$969$]*t+[$966$]₀)
Скорость - производная координаты по времени
v=x`(t)=A*[$969$]*cos([$969$]*t+[$966$]₀)
[$969$]=2п/Т=2п/6п=1/3 с^-1
Следовательно
v=(5/3)*cos(t/3+п/3)
v₁=v(t₁)=(5/3)*cos(2п/3)= -0,83 см/с

Удачи

v=

5

Ответ он и есть ответ<br>Великолепно!!!

Об авторе:
С уважением
shvetski

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