A uniform sphere of weight w and radius 5cm is being held by a string of length 8cm as shown in the figure . The tension in the string is

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$\frac{12 w}{7}$

$\frac{8 w}{7}$

$\frac{6 w}{7}$

$\frac{13 w}{12}$

answer is D.

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Detailed Solution

$\begin{array}{l} AB = \sqrt{13^{2} - 5^{2}} = \sqrt{144} = 12 cm \\ Cos θ = \frac{12}{13} \end{array}$
$Tcos θ = W T = \frac{W}{\cos θ} = \frac{13 W}{12}$

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