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Консультация № 180993
28.11.2010, 13:16
0.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
С каким максимальным ускорением можно поднимать на веревке тело массой 200 кг, если она выдерживает неподвижный груз весом до 2400 Н? Какой максимальный груз можно опускать на этой же веревке с таким же ускорением?
С каким максимальным ускорением можно поднимать на веревке тело массой 200 кг, если она выдерживает неподвижный груз весом до 2400 Н? Какой максимальный груз можно опускать на этой же веревке с таким же ускорением?
Обсуждение
28.11.2010, 16:51
общий
это ответ
Здравствуйте, Татьяна!
Если верёвка выдерживает неподвижный груз весом до 2400 Н, то [F] = 2400 Н - максимальная допустимая сила натяжения верёвки, которую будем считать величиной, не зависящей от ускорения, испытываемого верёвкой. Соответствующее этой силе максимальное допустимое ускорение [а] при подъёме тела массой m = 200 кг определится следующим образом:
g + [a] = [F]/m, откуда [a] = F/m - g = 2400/200 - 9,81 = 2,19 (м/с2),
а максимальная масса [m] груза, который можно опускать на той же верёвке с этим ускорением, - следующим образом:
g - [a] = [F]/[m], откуда [m] = [F]/(g - [a]) = 2400/(9,81 - 2,19) ≈ 315 (кг).
Ответ: 2,19 м/с2, 315 кг.
С уважением.
Если верёвка выдерживает неподвижный груз весом до 2400 Н, то [F] = 2400 Н - максимальная допустимая сила натяжения верёвки, которую будем считать величиной, не зависящей от ускорения, испытываемого верёвкой. Соответствующее этой силе максимальное допустимое ускорение [а] при подъёме тела массой m = 200 кг определится следующим образом:
g + [a] = [F]/m, откуда [a] = F/m - g = 2400/200 - 9,81 = 2,19 (м/с2),
а максимальная масса [m] груза, который можно опускать на той же верёвке с этим ускорением, - следующим образом:
g - [a] = [F]/[m], откуда [m] = [F]/(g - [a]) = 2400/(9,81 - 2,19) ≈ 315 (кг).
Ответ: 2,19 м/с2, 315 кг.
С уважением.
5
Спасибо!!!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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