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JEE Main 2022 · 26 Jun · Shift 2, Physics question 53

A system to 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^{\rm th} and 8th^{\rm th} ball is ______ N when 6th^{\rm th} ball just leaves the table.

A row of balls on a smooth table top (10th ball at the far end) connected by a string that runs over the table edge; balls hang vertically below the edge down to the 1st ball.
Answer and worked solution

Official answer: 36

When the 6th ball just leaves the table, 6 balls hang and 4 are on the table.

Acceleration. a=6(2)g10(2)=6a=\dfrac{6(2)g}{10(2)}=6 m s−2^{-2}.

Tension between the 7th and 8th balls pulls balls 8, 9, 10: T=3×2×6=36T=3\times2\times6=36 N.

Answer: 36

Topics:Newton's lawsConstraint motion and pulleys
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