Question 31 of 210

A system to $10$ balls each of mass $2kg$ are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth table as shown in figure. Tension on the string between the ${7}^{th}$ and ${8}^{th}$ ball is _____ $N$ when ${6}^{th}$ ball just leaves the table.

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Answer: 36

Acceleration,$a=\dfrac{Netpullingforce}{Totalmass}$
$a=\dfrac{6mg}{10m}=\dfrac{6g}{10}=6m{s}^{-2}$
Considering ball 8,9&10 as system, tension between ball 7 & 8 can be written as,
${T}_{7,8}=\left(3m\right)\times a$
$=3\times 2\times 6=36N$