In the system shown to the right, M1 = 3 kg and M2 = 6 kg....

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In the system shown to the right, M1 = 3 kg and M2 = 6 kg....

In the system shown to the right, M1 = 3 kg and M2 = 6 kg.

Determine the coefficient of static friction that would prevent M1 from sliding.

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In the system shown to the right, M1 = 3 kg and M2

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Answer 1

Answer #1

$Let\; T\; be\; the\; tension \; in\; string$

$M_{2}\;is \; the\; mass\; of \; block \;2=6\;\;kg$

$M_{1}\;is \; the\; mass\; of \; block \;1=6\;\;kg$

$The\; system \; is \; in \; equilibrium$

$Hence \; for\; block\; 2$

$\boldsymbol{T=M_{2}g=6\times9.8=58.8\;\;N}$

$For\; Block\; 1$

$Friction \; will\; be\; there \; to\; oppose \; the\; motion \; of\; block$

$Let\; \mu_{s} \; be\; the \; coefficient\; of\; static\; friction$

$N \; be \; the\; Normal \; force\; on \; Block \; from \; ground$

$Frictional \; force \; f = \mu_{s}N$

$N=M_{1}g=3\times9.8=29.4\;\;N$

$f=29.4\mu_{s}$

$and\;f=T$

$29.4\mu_{s}=58.8$

$\boldsymbol{\mu_{s}=2}$

$\boldsymbol{Coefficient\; of\; static \;friction \;is\;2}$

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Answer 2

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