Question

As shown in figure the tension in the horizontal cord is 20 N. The weight W and tension in the string OA in Newton are

• A. $30\sqrt{30},30$
• B. $20\sqrt{30},40$
• C. $60\sqrt{30},30$
• D. $40\sqrt{30},30$

Answer 1

The correct option is B $20\sqrt{30},40$


From the figure $Tsin{30}^{\circ }=20$ ...(i)
$Tcos{30}^{\circ }=W$ ...(ii)
By solving equation (i) and (ii) we get
$W=20\sqrt{3}N$ and T = 40 N