Question

For forces are acting at a point P in equilibrium as shown in the figure. The ratio of force F1 to F2 is 1 : x where x =___.

Answer 1

θ=45°
Taking components along x & y
F1=√2−$\frac{1}{\sqrt2}$=$\frac{2-1}{\sqrt2}$=$\frac{1}{\sqrt2}$
F2=√2+$\frac{1}{\sqrt2}$=$\frac{2+1}{\sqrt2}$=$\frac{3}{\sqrt 2}$
F1: F2=1:3
⇒x=3