Shown in figure is rigid and uniform one meter long rod AB held in horizontal position by two string

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6.System of Particles and Rotational Motion

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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 $2m$ hung at a distance of $75\, cm$ from $A$. The tension in the string at $A$ is$....mg$

A

$2$

B

$0.5$

C

$0.75$

D

$1$

(JEE MAIN-2020)

Solution

$\tau_{ B }=0$ (torque about point $B$ is zero $)$

$\left(T_{A}\right) \times 100-(m g) \times 50-(2 m g) \times 25=0$

$100 T _{ A }=100 mg$

$T_{A}=1 mg$

Standard 11

Physics

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