Question

A ball of mass 1 kg hangs in equilibrium from two strings AO and BO as shown in the figure.What are the tension in strings OA and OB? $(Takeg=10m/s^2)$

• A. $5N.Zero$
• B. $Zero,N$
• C. $5N,5\sqrt{3}N$
• D. $5\sqrt{3}5N$

Answer 1

The correct option is C $5N,5\sqrt{3}N$

REF.Image

Applying Lami's Theorem

$\frac{A}{sin\alpha }=\frac{B}{sin\beta }=\frac{C}{sin\gamma }$ $\alpha ={150}^{\circ }$

$\therefore \frac{T_1}{sin150}=\frac{T_2}{sin120}=\frac{10}{sin\gamma }$ $\beta ={120}^{\circ }$

$T_1=10sin{150}^{\circ }=5N$ $\gamma ={90}^{\circ }$

$T_2=10sin{120}^{\circ }=5\sqrt{3}N$ $T_3=10$