Question

In the arrangement as shown, tension $T_2$ is $(g=10m/s^2)$

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

Answer 1

The correct option is B $100N$

Given,

Tension in the string $T=mg=10\times 10=100N$

Force due to pulley at point P is $F=2T=200N$

Apply lami’s theorem

$\frac{T_2}{\sin {150}^o}=\frac{F}{\sin {90}^o}$

$\Rightarrow T_2=\frac{200}{\sin {90}^o}\sin {150}^o$

$\Rightarrow T_2=\frac{200}{1}\times \frac{1}{2}=100N$

Tension $T_{2}is100N$