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Two blocks of masses $4 kg$ and $2 kg$ are attached by an inextensible light string with one hanging below the other. Both the blocks are pulled vertically upwards by a force $F = 120 N$ . Find tension in the string. (Take $g = 10 m / s^{2}$ ).

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60 N

80 N

40 N

70 N

answer is A.

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Detailed Solution

By treating the two blocks as a single block

$120 - (4 + 2) g = (4 + 2) a \Rightarrow a = 10 m / s^{2}$

Free body diagram of $2 kg$ block is as shown in Fig.

Using

we get.

$Σ F_{y} = m a_{y} T - 2 g = 2 a T - 20 = (2) (10) T = 40 N$

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