Question

A body of weight 200 N is suspended with the help of strings as shown. Find the tension $T_1,T_2$.

Answer 1

$T_1\cos {60}^{\circ }=T_2\cos {45}^{\circ }$

$T_1\frac{1}{2}=T_2\frac{1}{\sqrt{2}}$

$T_1=\sqrt{2}{T}_2-1$

$T_1\sin \theta +T_2\sin {45}^{\circ }=200$

$\sqrt{2}{T}_2\times \frac{\sqrt{3}}{2}+T_2\frac{1}{\sqrt{2}}=200$

$T_2=\frac{200\sqrt{2}}{(\sqrt{3}+1)}$

$\left(T_1=\frac{400}{\sqrt{3}+1}\right)$