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  4. In the setup shown, a 200N block is supported in equilibrium with the help of strings and a spring. A point O , the strings knotted. Extension in the spring is 4cm . Force constant of the spring is closest to [g = 10 m / s2] <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-8d6pjqerni3qxyfu.jpg />

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Q. In the setup shown, a $200N$ block is supported in equilibrium with the help of strings and a spring. A point $O$ , the strings knotted. Extension
in the spring is $4cm$ . Force constant of the spring is closest to $\left[g = 10 m / s^{2}\right]$
Question

NTA AbhyasNTA Abhyas 2020

Solution:

Solution
In equilibrium Acc to Lami's theorem
$\frac{200}{sin \left(\right. 180 - 90 \left.\right)}=\frac{T_{1}}{sin \left(\right. 90 + 53 \left.\right)}$
$\frac{200}{1}=\frac{T_{1}}{cos 53 ^\circ }$
$T_{1}=40\times 3=$
$Kx\Rightarrow K=3000N/m$