Question

A block of mass $10kg$ is suspended by three strings as shown in the figure. The tension $T_2$ is :

• A. $100N$
• B. $\frac{100}{\sqrt{3}}N$
• C. $\sqrt{3}\times 100N$
• D. $50\sqrt{3}N$

Answer 1

The correct option is D $50\sqrt{3}N$

The equations of tensions are given as,

$T_3\sin {60}^{\circ }=T_2\sin {30}^{\circ }$

$T_3=\frac{T_2}{\sqrt{3}}$ (1)

$T_3\cos {60}^{\circ }+T_2\cos {30}^{\circ }=T_1$

$\frac{T_2}{\sqrt{3}}\times \frac{1}{2}+T_2\times \frac{\sqrt{3}}{2}=10\times 10$

$T_2=50\sqrt{3}N$