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Tension in a String

In the adjoin...

Question

In the adjoining figure, the tension in the string connecting $A$ and $B$ is?

A

g

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B

\frac{g}{9}

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C

\frac{8}{9} g

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D

\frac{10}{9} g

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Solution

The correct option is B $\frac{10}{9} g$
first finding out the acceleration of the system is equal to $\frac{g}{9}$
$T - g = 1 \times \frac{g}{9}$
$9 T = 9 g + g = \frac{10}{9} g$

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