(Solved): Subject: Engineering Mechanics 1. Three forces acting on the bracket shown in Figure 1 below. A) If ...

1. Three forces acting on the bracket shown in Figure 1 below. A) If $F_1=180\mathrm{N}$ with $\theta =10^{\circ }$, determine the magnitude of the resultant force vector as well as its direction angle measured counter-clockwise from positive $x^{\prime }$ axis. B) Determine the magnitude and direction angle $\theta$ of $F_1$, when the resultant force vector is found to have a magnitude of $1200\mathrm{N}$ directed along positive ${\mathrm{X}}^{\prime }$ axis. (20 marks) i iyuic ,