Three blocks $A, B$ and $C $ weighing $1, 8$ and $27\, kg$ respectively are connected as shown in the figure with an inextensible string and are moving on a smooth surface. ${T_3}$ is equal to $36\, N$. Then ${T_2}$ is ........ $N$
$18$
$9 $
$3.375$
$1.25$
Three blocks $A, B$ and $C $ weighing $1, 8$ and $27\, kg$ respectively are connected as shown in the figure with an inextensible string and are moving on a smooth surface. ${T_3}$ is equal to $36\, N$. Then ${T_2}$ is ........ $N$
${T_2} = ({m_A} + {m_B})× \frac{{{T_3}}}{{{m_A} + {m_B} + {m_C}}}$
${T_2} = (1 + 8) \times \frac{{36}}{{(1 + 8 + 27)}} = 9\;N$
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