There are four forces acting at a point P produced by strings as shown in the figure, which is at rest. Find the forces F1 and F2.
There are four forces acting at a point P produced by strings as shown in the figure, which is at rest. Find the forces F1 and F2.

Because the point is at rest with a = 0, the resulting forces on the point are zero.

As a result, the X and Y axis net components will be zero.

It’s difficult to resolve all of the forces along the X-axis.

\begin{array}{l} \mathrm{Fx}=0 \\ \mathrm{~F} 1+1 \cos 45^{\circ}-2 \cos 45^{\circ}=0 \\ \mathrm{~F} 1-1 \cos 45^{\circ}=0 \\ \mathrm{~F} 1=\cos 45^{\circ}=0.707 \mathrm{~N} \end{array}
Resolving all the forces along Y-axis is
\begin{array}{l} \mathrm{Fy}=0 \\ -\mathrm{F} 2+1 \cos 45^{\circ}+2 \cos 45^{\circ}=0 \\ -\mathrm{F} 2=-3 \cos 45^{\circ} \\ \mathrm{F} 2=2.121 \mathrm{~N} \end{array}