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Tension in a String

Two bodies of...

Question

Two bodies of mass $4 k g$ and $6 k g$ are attached to the ends of a string passing over a pulley . The $4 k g$ mass is attached to the table top by another string.The tension in this string $T_{1}$ is equal to

19.6 N

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25 N

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10.6 N

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10 N

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Solution

The correct option is A $19.6 N$
$\begin{matrix} 6 g - T = b a b u t a = 0 b g - T = 0 \to (i) T = 6 g T - 4 g + T_{1} = 0 \to (i i) 6 g - 4 g + T_{1} = 0 2 g = - T_{1} T_{1} = 2 \times 9.8 = 19.6 N \end{matrix}$

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