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In the figure shown, mass of each block is 2kg. Coefficient of friction between A & B is 0.2, B & C is 0.6 and A & ground 0.1. If $F = 9 N$ , acceleration of A is ____ $m / s^{2}$ .

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answer is 0.5.

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Detailed Solution

$F - f_{3} = 2 a_{c} f_{3 L} = 12 N f_{3} - f_{2} = 2 Q_{B} f_{2 L} = 8 N f_{2} - f_{1} = 2 Q_{A} f_{1 k} = 6 N$

Let $a_{1} = a_{2} = a_{3}$

$A = a = \frac{9 - 6}{6} = 0.5 m / s^{2}$

$f_{3} = 8 N f_{2} = 7 N$

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