Question

As shown in figure the tension in the horizontal cord is $30\text{N}$, the weight $W$ and tension in the string OA (in newton) are :

• A. $30\sqrt{3},30$
• B. $60\sqrt{3},30$
• C. $30\sqrt{3},60$
• D. None

Answer 1

The correct option is C $30\sqrt{3},60$


For Equilibrium, ($T$ is the tension in OA)
$T\cos {30}^o=W$
$T\sin {30}^o=30$
$\Rightarrow T=60\text{N}$
$\Rightarrow W=\frac{60\sqrt{3}}{2}=30\sqrt{3}\text{N}$