Three blocks M₁, M₂, M₃ having masses 4 kg, 6 kg and 10 kg respectively are hanging from a smooth pulley using rope 1, 2 and 3 as shown in figure. The tension in the rope 1, T₁ when they are moving upward with acceleration of 2 ms⁻² is __________ N (if g = 10 m/s²). Numerical answer type. Work it out, then open the answer.

Answer: 240. Rope 1 holds all three blocks: total mass 4 + 6 + 10 = 20 kg. T₁ - Mg = Ma ⇒ T₁ = M(g + a) = 20(10 + 2) T₁ = 240 N

Three blocks M₁, M₂, M₃ having masses 4 kg, 6 kg and 10 kg… | JEE Main 2024 (5 Apr, Shift 1)

Q11JEE Main 2024 · 5 APR · SHIFT 1Easy

Connected Bodies & Pulleys

Three blocks $M_1, M_2, M_3$ having masses $4\text{ kg}, 6\text{ kg}$ and $10\text{ kg}$ respectively are hanging from a smooth pulley 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 $2\text{ ms}^{-2}$ is __________ $\text{N}$ (if $g = 10\text{ m/s}^{2}$ ).

Numerical answer type. Work it out, then open the answer.

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Answer: 240

Rope 1 holds all three blocks: total mass $4 + 6 + 10 = 20\text{ kg}$ .
$T_1 - Mg = Ma \Rightarrow T_1 = M(g + a) = 20(10 + 2)$
$T_1 = 240\text{ N}$

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