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  4. Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. A force F applied on the upper string produces an acceleration of 2 m/s2 in the upward direction in both the blocks. If T and T be the tensions in the two parts of the string, then <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/f4deb5cf6ec886773204668aad714c7f-.png />

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Q. Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. A force F applied on the upper string produces an acceleration of $2 \,m/s^{2}$ in the upward direction in both the blocks. If $T$ and $T$ be the tensions in the two parts of the string, then
image

Laws of Motion

Solution:

FBD of mass 2 kg FBD of mass 4 kg
image
$T-T'-20=4 \ldots$(i)
$T'-40=8 \ldots $ (ii)
By solving (i) and (ii) $T'=47.23\,N$ and
$T=70.8\,N$