Three blocks , , 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 the figure. The tension in the rope 1, , when they are moving upward with an acceleration of 2 , is ________ N (if g = 1

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Solution

Q.
Three blocks $M_{1}$ , $M_{2}$ , $M_{3}$ 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 the figure. The tension in the rope 1, $T_{1}$ , when they are moving upward with an acceleration of 2 ${ms}^{- 2}$ , is ________ N (if g = 10 $m / s^{2}$ ). [2024]

Ans.
(240)

FBD of $M_{1}$

$T_{1} - 200 = (4 + 6 + 10) \times 2$

$∴$ $T_{1} = 240 N$

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