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Консультация № 194660
10.02.2019, 15:08
0.00 руб.
10.02.2019, 21:30
1
1
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Задача 1. Пружинный маятник совершает гармонические колебания по закону x = Acos([$969$]0t + [$966$]0). Используя данные таблицы 1, выполните следующее:
1. Найдите недостающие в таблице величины.
2. Запишите уравнение колебаний x(t) с числовыми коэффициентами и
постройте график зависимости x(t) в пределах 0 t T с шагом t=T/12.
Обозначения, принятые в таблице:
x0 – значение координаты в начальный момент времени; [$966$]0 – начальная фаза;
k – коэффициент жесткости пружины; v0 и а0 – значения скорости и ускорения
в начальный момент времени; vmax и аmax– максимальные значения скорости и ускорения.
Задача 1. Пружинный маятник совершает гармонические колебания по закону x = Acos([$969$]0t + [$966$]0). Используя данные таблицы 1, выполните следующее:
1. Найдите недостающие в таблице величины.
2. Запишите уравнение колебаний x(t) с числовыми коэффициентами и
постройте график зависимости x(t) в пределах 0 t T с шагом t=T/12.
Обозначения, принятые в таблице:
x0 – значение координаты в начальный момент времени; [$966$]0 – начальная фаза;
k – коэффициент жесткости пружины; v0 и а0 – значения скорости и ускорения
в начальный момент времени; vmax и аmax– максимальные значения скорости и ускорения.
Прикрепленные файлы:
Обсуждение
10.02.2019, 22:10
общий
это ответ
Здравствуйте, dar777!
[$969$]0=2[$960$]/T=10,1 рад/с
A=amax/[$969$]02=0,0270м=2,70 см
vmax=[$969$]0A=27,3 см/с
[$966$]0=acos(x0/A)=1.05 рад=60,0[$176$]
v0=-vmax[$183$]sin[$966$]0=-23,7 см/с
a0=-amax[$183$]cos[$966$]0=-1,39 м/с2
m=k/[$969$]02=0,0270 кг=27,0 г
x=2,70см[$183$]cos(10,1t+60[$176$])=2,70см[$183$]cos(10,1t+1.05)
[$969$]0=2[$960$]/T=10,1 рад/с
A=amax/[$969$]02=0,0270м=2,70 см
vmax=[$969$]0A=27,3 см/с
[$966$]0=acos(x0/A)=1.05 рад=60,0[$176$]
v0=-vmax[$183$]sin[$966$]0=-23,7 см/с
a0=-amax[$183$]cos[$966$]0=-1,39 м/с2
m=k/[$969$]02=0,0270 кг=27,0 г
x=2,70см[$183$]cos(10,1t+60[$176$])=2,70см[$183$]cos(10,1t+1.05)
5
Это самое лучшее решение!
Форма ответа
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