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A system to 10 balls each of mass \mathrm{2 \mathrm{~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 \mathrm{7^{\text {th }}} and \mathrm{8^{\text {th }} }ball is ______N when \mathrm{6^{\text {th }} } ball just leaves the table.

Option: 1

36


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer


Net downward force \mathrm{= 6\, mg}
                                  \mathrm{= 120\, N}  

\mathrm{a= \frac{\text{Total force applied}}{\text{Total mass}}}
     \mathrm{= \frac{120}{\left ( 10\times 2 \right )}= 6 m/s^{2}}



On 10th ball
\mathrm{T_{2}= ma= 12\, N}

On 9th  ball
\mathrm{T_{1}-T_{2}= ma}
\mathrm{T_{1}= 24\, N}

On 8th  ball
\mathrm{T-T_{1}= ma}
\mathrm{T= 36\, N}

Tension on the string between the 7th & 8th ball is 36 N.

Posted by

Sumit Saini

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