Question

A spring balance carries a load. When the load is pulled aside so that the balance makes an angle of $30^{\circ}$ with the vertical, the balance reads $4 \, kg\, wt$. The mass of the load is

• A. $\sqrt{3}$ kg
• B. 3 kg
• C. $2 \sqrt{3}$ kg
• D. 9 kg

Answer 1

Answer: (C)

$2 \sqrt{3}$ kg

Answer 2

$F_x =$ reading in spring balance
= 4 kg wt
From figure, $F_x \cos 30^{\circ} = mg$
(4 kg wt) $\frac{\sqrt{3}}{2}$ = mg
So, $m = 2 \sqrt{3}$ kg