Question

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three blocks A, B, C each of mass 2kg are hanging on a string passing over a fixed frictionless Pulley as shown. the tension in the string connecting the block B and C is ​

Answer 1

$\underline{\underline{\mathfrak{\Large{Solution : }}}} \\ \\ \sf\implies\:mg - T_{2} = ma \\ \\ \sf\implies\: T_{2} + mg - T_{1} = ma \\ \\ \sf\implies\:T_{1} - mg = ma$

$\sf\implies\:3ma = mg \\ \\ \sf\implies\:a = \dfrac {g}{3} \\ \\ \sf\: ∴ T_{2} = mg - ma \\ \\ \sf\implies\: mg - m × \frac {g}{3} \\ \\ \sf\: a = \dfrac {2mg}{3} \\ \\ \sf\implies\dfrac {2×2×9.8}{3} = 13N$

Answer 2

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