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Задать вопрос экспертам

Консультация № 183728

28.06.2011, 12:38

45.76 руб.

13.06.2013, 13:38

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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
материальная точка массой m= 10 кг движется в плоскости Oxy согласно закону х=3d, y=5d. Определить модуль равнодействующей сил, приложенных к точке

Обсуждение

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18353

28.06.2011, 13:47

общий

Здравствуйте!

А что обозначено буквой "d"? Может быть, всё же x = 3t, y = 5t, где t - время?

С уважением.

Об авторе:
Facta loquuntur.

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18353

28.06.2011, 16:06

общий

это ответ

Здравствуйте, Посетитель - 364448!

Будем полагать, что x = 3t, y = 5t. Тогда dx/dt = 3, dy/dt = 5,
v = [$8730$]((dx/dt)² + (dy/dt)²) = [$8730$](3² + 5²) = [$8730$]34 = const, т. е. материальная точка движется с постоянной скоростью; y = 5t = 5x/3, т. е. точка движется по прямой. Согласно первому закону Ньютона, равнодействующая сил, приложенных к точке, равна нулю.

К этому выводу можно придти и учитывая, что d²x/dt² = d²y/dt² = 0, a = [$8730$]((d²x/dt²)² + (d²y/dt²)²) = 0, что в соответствии со вторым законом Ньютона даёт R = ma = 0 (R - модуль равнодействующей силы, m - масса материальной точки).

С уважением.

Об авторе:
Facta loquuntur.

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