Question

Three blocks of masses $4kg,6kg$ and $8kg$ are hanging over a fixed pulley as shown. The tension in the string connecting $4kg$ and$6kg$ block is
($g=10m/s^2$)

• A. $4N$
• B. $6N$
• C. $\frac{320}{g}N$
• D. $\frac{40}{9}N$

Answer 1

The correct option is C $\frac{320}{g}N$

$\begin{array}{c}a=\frac{10g-8g}{18}\\ =\frac{2g}{18}\\ on4kgblock\\ 4g-T=4a\\ \Rightarrow 4g-T=4\cdot \frac{2g}{18}\\ \Rightarrow T=4g-\frac{4g}{9}=\frac{32g}{9}=\frac{320}{9}N\end{array}$

Hence,

option $\left(C\right)$ is correct answer.