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 7 text th and 8 text th ball is N when 6 text th ball just leaves the table.

Question

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 7 text th and 8 text th ball is N when 6 text th ball just leaves the table. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

a =(6 mg /10 m )=(6 g /10)=(3 g /5) taking 8,9,10 together

T =3 ma =3 m × (3 g /5) =36 N

Q. A system to $10$ balls each of mass $2 k g$ 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.

$a = \frac{6 m g}{10 m} = \frac{6 g}{10} = \frac{3 g}{5}$
taking $8, 9, 10$ together

$T = 3 ma$
$= 3 m \times \frac{3 g}{5}$
$= 36 N$

Q. 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 7th and 8th ball is ____N when 6th ball just leaves the table.

a=10m6mg​=106g​=53g​ taking 8,9,10 together T=3ma =3m×53g​ =36N

Q. A system to $10$ balls each of mass $2 k g$ 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.

$a = \frac{6 m g}{10 m} = \frac{6 g}{10} = \frac{3 g}{5}$
taking $8, 9, 10$ together

$T = 3 ma$
$= 3 m \times \frac{3 g}{5}$
$= 36 N$