9709 P42 - Mar 2022 - Q5 - 7 marks
3702
Four coplanar forces act at a point. The magnitudes of the forces are \(10\text{ N}\), \(F\text{ N}\), \(G\text{ N}\) and \(2F\text{ N}\). The directions of the forces are as shown in the diagram.
(a) Given that the forces are in equilibrium, find the values of \(F\) and \(G\). [5]
(b) Given instead that \(F=3\), find the value of \(G\) for which the resultant of the forces is perpendicular to the \(10\text{ N}\) force. [2]
