(Solved): Problem 1 (15pts) A trolley that moves along a horizontal beam is acted upon by two forces as shown ...

Problem 1 (15pts) A trolley that moves along a horizontal beam is acted upon by two forces as shown in the figure below. (a) Knowing that \( \alpha=35^{\circ} \) determine the magnitude of the force \( \mathbf{P} \) so that the resultant force \( \mathbf{R} \) exerted on the trolley is vertical. (b) What is the corresponding magnitude of the resultant force \( \mathbf{R} \) ?