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# A uniform rod of mass m and length L is suspended with two massless strings as shown. If the rod is at rest in a horizontal position, the ratio of the tensions in the two strings?

$\begin {array} {1 1} (a)\;1:1 & \quad (b)\;1:2 \\ (c)\;2:1 & \quad (d)\;4:3 \end {array}$
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## 1 Answer

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For transnational equations:
$mg =T_1+T_2$
Taking torque about A for rotational equation:
$mg \times \large\frac{L}{4}$$=T_2 \times \large\frac{3L}{4}$
$=> T_1 = 2\large\frac{mg}{3}$
$=> T_2 = \large\frac{mg}{3}$
$T_1:T_2=2:1$
answered Nov 27, 2013 by

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