Three blocks A, B and C weighing 1, 8 and

Your Ultimate Guide to JEE & NEET Question Solutions

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 ........ $N$

A

$18$

B

$9 $

C

$3.375$

D

$1.25$

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 ........ $N$

${T_2} = ({m_A} + {m_B})× \frac{{{T_3}}}{{{m_A} + {m_B} + {m_C}}}$
${T_2} = (1 + 8) \times \frac{{36}}{{(1 + 8 + 27)}} = 9\;N$