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If the tension in the string in figure is 16 N and the acceleration of each block is 0.5ms^-2 , find the friction coefficients at the two contacts with the blocks.

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$μ_{1} = 0 .75, μ_{2} = 0 .06$

$μ_{1} = 0 .06, μ_{2} = 0 .75$

$μ_{1} = 0 .85, μ_{2} = 0 .04$

$μ_{1} = 0 .85, μ_{2} = 0 .002$

answer is A.

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Detailed Solution

$\begin{array}{l} m_{1} = 2 kg and m_{2} = 4 kg \\ T - μ_{1} m_{1} g = m_{1} a \\ \Rightarrow μ_{1} = \frac{15}{19 .6} = 0 .75 \\ m_{2} gsin θ - μ_{2} m_{2} gcos θ - T = m_{2} a \\ \Rightarrow μ_{2} = \frac{1}{17 .32} = 0 .06 \end{array}$

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