(Solved): 1. Applying the parallelogram law, determine the magnitude of the resultant force \( F_{R}=F_{1}+F_ ...

1. Applying the parallelogram law, determine the magnitude of the resultant force \( F_{R}=F_{1}+F_{2} \) and its direction, measured counterclockwise from the positive \( u \) axis. 3. A trolley that moves along a horizontal beam is acted upon by two forces as shown. (a) Knowing that \( \alpha=25^{\circ} \), determine by trigonometry the magnitude of the force \( \mathbf{P} \) so that the resultant force exerted on the trolley is vertical. (b) What is the corresponding magnitude of the resultant?