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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?

 

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

1 Answer

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 meena.p
 

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