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  4. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/1845bd23fea53abc62259409f888f388-.png /> 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 of mass 'm' and has another weight of mass 2 m hung at a distance of 75 cm from A. The tension in the string at A is:

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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 of mass $'m'$ and has another weight of mass $2 m$ hung at a distance of $75 cm$ from $A$. The tension in the string at $A$ is:

JEE MainJEE Main 2020System of Particles and Rotational Motion

Solution:

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$\tau_{ B }=0$ (torque about point $B$ is zero)
$\left( T _{ A }\right) \times 100-( mg ) \times 50-(2 mg ) \times 25=0$
$100 T _{ A }=100 mg$
$T _{ A }=1 mg$