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JEE Main 2022 (26 Jun, Shift 2) · Connected Bodies & Pulleys

Connected Bodies & Pulleys question from JEE Main 2022 (26 Jun, Shift 2)

Q24JEE Main 2022 · 26 JUN · SHIFT 2Medium

Connected Bodies & Pulleys

A system of 10 balls each of mass 2 kg 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 7th and 8th ball is __________ N when 6th ball just leaves the table.

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

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Answer: 36

When the 6th ball just leaves the table, balls 1 to 6 hang and balls 7 to 10 are on the table.
$a = \dfrac{6mg}{10m} = 0.6g = 6\text{ m/s}^2$
The string between the 7th and 8th balls pulls balls 8, 9, 10: $T = 3 \times 2 \times 6$ .
$T = 36\text{ N}$

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