Question

As shown in figure, the tension in the horizontal cord is $30$N. The weight w and tension in the string OA in newton are.

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

Answer 1

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

Horizontal and vertical components of tension are shown in the figure.
From the figure, $T\sin {30}^o=30$ ...........(i)
$T\cos {30}^o=w$ ..........(ii)
By solving Eqs. (i) and (ii), we get
$w=30\sqrt{3}$N
and $T=60$N.