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Консультация № 189942
26.10.2016, 12:59
0.00 руб.
30.10.2016, 12:56
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос ( # 9 )
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Обсуждение
30.10.2016, 13:58
общий
это ответ
Здравствуйте, anton74551!
сила трения между бруском и доской (если брусок скользит по доске либо в граничном состоянии)
Fт=[$956$]mg
ускорение доски
aM=Fт/M=[$956$]gm/M
пусть брусок и груз движутся с ускорением a[$8805$]aM
тогда натяжение нити
m1(g-a)=ma+Fт=ma+[$956$]mg
выражаем ускорение
(m1-[$956$]m)g=(m+m1)a
a=g(m1-[$956$]m)/(m+m1)
при минимальной массе груза a=aM=[$956$]gm/M
впрочем, здесь можно просто заметить, что вся система движется с этим ускорение и сразу записать
m1ming=aM(m1min+m+M)=[$956$]gm(m1min+m+M)/M
m1min-[$956$]mm1min/M=[$956$]m(m+M)/M
m1min=[$956$]m(m+M)/(M(1-[$956$]m/M))=0,25 кг
при m1=2m1min=0,5 кг
ускорение бруска относительно доски a2=a-aM=g(m1-[$956$]m)/(m+m1)-[$956$]gm/M=1,6 м/с2
брусок соскользнёт с доски через
t=[$8730$](2l/a2)=1,58 с
сила трения между бруском и доской (если брусок скользит по доске либо в граничном состоянии)
Fт=[$956$]mg
ускорение доски
aM=Fт/M=[$956$]gm/M
пусть брусок и груз движутся с ускорением a[$8805$]aM
тогда натяжение нити
m1(g-a)=ma+Fт=ma+[$956$]mg
выражаем ускорение
(m1-[$956$]m)g=(m+m1)a
a=g(m1-[$956$]m)/(m+m1)
при минимальной массе груза a=aM=[$956$]gm/M
впрочем, здесь можно просто заметить, что вся система движется с этим ускорение и сразу записать
m1ming=aM(m1min+m+M)=[$956$]gm(m1min+m+M)/M
m1min-[$956$]mm1min/M=[$956$]m(m+M)/M
m1min=[$956$]m(m+M)/(M(1-[$956$]m/M))=0,25 кг
при m1=2m1min=0,5 кг
ускорение бруска относительно доски a2=a-aM=g(m1-[$956$]m)/(m+m1)-[$956$]gm/M=1,6 м/с2
брусок соскользнёт с доски через
t=[$8730$](2l/a2)=1,58 с
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