Question 122 of 280

Shown in the figure is rigid and uniform one meter long rod $AB$ held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is off mass $'m'$ and has another weight of mass $2m$ hung at a distance of $75cm$ from $A$. The tension in the string at $A$ is:

A$0.5mg$B$2mg$C$0.75mg$D$1mg$

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Answer: (D) $1mg$

Net torque$\left({\tau }_{net}\right)$ about$B$ is zero at equilibrium

${T}_{A}\times 100-mg\times 50-2mg\times 25=0$
${T}_{A}\times 100=100\times mg$
$∴{T}_{A}=1mg$.