Moderate -0.3 This is a standard equilibrium problem requiring resolution of forces in two perpendicular directions and solving simultaneous equations. While it involves trigonometry and multiple forces, it's a routine textbook exercise with a clear method (resolve horizontally and vertically, set sums to zero). The 6 marks reflect straightforward algebraic manipulation rather than conceptual difficulty, making it slightly easier than average.
\includegraphics{figure_3}
Four coplanar forces of magnitudes \(F\) N, \(5\) N, \(25\) N and \(15\) N are acting at a point \(P\) in the directions shown in the diagram. Given that the forces are in equilibrium, find the values of \(F\) and \(α\). [6]
\includegraphics{figure_3}
Four coplanar forces of magnitudes $F$ N, $5$ N, $25$ N and $15$ N are acting at a point $P$ in the directions shown in the diagram. Given that the forces are in equilibrium, find the values of $F$ and $α$. [6]
\hfill \mbox{\textit{CAIE M1 2019 Q3 [6]}}