CAIE M1 2007 June — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2007
SessionJune
TopicVectors Introduction & 2D

2
\includegraphics[max width=\textwidth, alt={}, center]{f7a22c07-44e3-4891-be60-cbab772f45df-2_549_589_934_778} Two forces, each of magnitude 8 N , act at a point in the directions \(O A\) and \(O B\). The angle between the forces is \(\theta ^ { \circ }\) (see diagram). The resultant of the two forces has component 9 N in the direction \(O A\). Find
  1. the value of \(\theta\),
  2. the magnitude of the resultant of the two forces.