Question

Four forces are acting at a point $P$ in equilibrium as shown in figure.The ratio of force $F_1$ to $F_2$ is $1: x$ where $x=$ _____

Answer 1

The correct answer is 3

θ = 45º
Taking components along x & y
$F_1=\sqrt2-\frac{1}{\sqrt2}$
$=\frac{2-1}{\sqrt2}=\frac{1}{\sqrt2}$
$F_2=\sqrt2+\frac{1}{\sqrt2}$
$=\frac{2+1}{\sqrt2}=\frac{3}{\sqrt2}$
F1 : F2 = 1 : 3
So , value of x is 3