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Консультация № 189698
19.08.2016, 09:10
0.00 руб.
1
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Здравствуйте! У меня возникли сложности с такой задачей ( № 5* ):
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Обсуждение
19.08.2016, 09:59
общий
это ответ
Здравствуйте, anton74551!
Пусть силы приложены к точке O. Повернем все 17 векторов сил вокруг точки O на угол, равный углу между соседними векторами. На тот же угол повернется равнодействующая. Но после поворота расположение векторов сил не изменится: 1-ый займет положение 2-го, 2-ой - 3-его, ... 17-ый -- первого. Следовательно, не изменится и равнодействующая. Но это возможно, только если равнодействующая равна нулю.
Пусть силы приложены к точке O. Повернем все 17 векторов сил вокруг точки O на угол, равный углу между соседними векторами. На тот же угол повернется равнодействующая. Но после поворота расположение векторов сил не изменится: 1-ый займет положение 2-го, 2-ой - 3-его, ... 17-ый -- первого. Следовательно, не изменится и равнодействующая. Но это возможно, только если равнодействующая равна нулю.
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