Question 81 of 210

Three blocks $M_1, M_2, M_3$ having masses $4 \mathrm{~kg}, 6 \mathrm{~kg}$ and $10 \mathrm{~kg}$ respectively are hanging from a smooth pully using rope 1,2 and 3 as shown in figure. The tension in the rope $1, T_1$ when they are moving upward with acceleration of $2 \mathrm{~ms}^{-2}$ is _____$\mathrm{N}\left(\right.$ if $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ ).

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Answer: 240

FBD of $M_1$ :

$\begin{aligned}
& \mathrm{T}_1-200=(4+6+10) \times 2 \\
& \therefore \mathrm{T}_1=240
\end{aligned}$