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Консультация № 173020
07.10.2009, 15:55
0.00 руб.
0
4
1
Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:
Брусок массой m=0,5 кг лежит на наклонной плоскости с углом наклона α=30° к горизонту. С какой минимальной горизонтальной силой F, параллельной ребру AB двугранного угла, следует тянуть за лёгкую нерастяжимую нить, привязанную к бруску, чтобы началось его скольжение по наклонной плоскости? Коэффициент трения между бруском и плоскостью μ=0,7.
Брусок массой m=0,5 кг лежит на наклонной плоскости с углом наклона α=30° к горизонту. С какой минимальной горизонтальной силой F, параллельной ребру AB двугранного угла, следует тянуть за лёгкую нерастяжимую нить, привязанную к бруску, чтобы началось его скольжение по наклонной плоскости? Коэффициент трения между бруском и плоскостью μ=0,7.
Обсуждение
Неизвестный
09.10.2009, 14:29
общий
Проекция силы тяжести на наклонную плоскость Fтяж = m[$149$]g[$149$]sin[$945$].
Сила трения покоя (максимальная) Fтр = [$956$][$149$]m[$149$]g[$149$]cos[$945$].
При добавлении горизонтальной силы F, направленной перпендикулярно к Fтяж, величина результирующей силы будет [$8730$](F2тяж + F2).
Брусок начнёт скользить как только результирующая сила станет равна Fтр.
Отсюда минимальная сила F, при которой начнётся скольжение, Fmin = m[$149$]g[$149$][$8730$]([$956$]2[$149$]cos2[$945$] - sin2[$945$]).
Fmin = 1.68 Н
Сила трения покоя (максимальная) Fтр = [$956$][$149$]m[$149$]g[$149$]cos[$945$].
При добавлении горизонтальной силы F, направленной перпендикулярно к Fтяж, величина результирующей силы будет [$8730$](F2тяж + F2).
Брусок начнёт скользить как только результирующая сила станет равна Fтр.
Отсюда минимальная сила F, при которой начнётся скольжение, Fmin = m[$149$]g[$149$][$8730$]([$956$]2[$149$]cos2[$945$] - sin2[$945$]).
Fmin = 1.68 Н
10.10.2009, 20:28
общий
Auntmary:
Абсолютно верное решение. Почему бы Вам не оформить его как полноценный ответ?
Абсолютно верное решение. Почему бы Вам не оформить его как полноценный ответ?
11.10.2009, 22:00
общий
это ответ
Перенесено из мини-форума. Автор решения - эксперт Auntmary
Здравствуйте, Болдырев Тимофей.
Проекция силы тяжести на наклонную плоскость Fтяж = m[$149$]g[$149$]sin[$945$].
Сила трения покоя (максимальная) Fтр = [$956$][$149$]m[$149$]g[$149$]cos[$945$].
При добавлении горизонтальной силы F, направленной перпендикулярно к Fтяж, величина результирующей силы будет [$8730$](F2тяж + F2).
Брусок начнёт скользить как только результирующая сила станет равна Fтр.
Отсюда минимальная сила F, при которой начнётся скольжение, Fmin = m[$149$]g[$149$][$8730$]([$956$]2[$149$]cos2[$945$] - sin2[$945$]).
Fmin = 1.68 Н
Здравствуйте, Болдырев Тимофей.
Проекция силы тяжести на наклонную плоскость Fтяж = m[$149$]g[$149$]sin[$945$].
Сила трения покоя (максимальная) Fтр = [$956$][$149$]m[$149$]g[$149$]cos[$945$].
При добавлении горизонтальной силы F, направленной перпендикулярно к Fтяж, величина результирующей силы будет [$8730$](F2тяж + F2).
Брусок начнёт скользить как только результирующая сила станет равна Fтр.
Отсюда минимальная сила F, при которой начнётся скольжение, Fmin = m[$149$]g[$149$][$8730$]([$956$]2[$149$]cos2[$945$] - sin2[$945$]).
Fmin = 1.68 Н
5
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