CAIE M1 2002 June — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2002
SessionJune
TopicVectors Introduction & 2D

3
\includegraphics[max width=\textwidth, alt={}, center]{430f1f9a-7a3a-47a0-b742-daf74e68adfd-2_368_584_1302_794} Two forces, each of magnitude 10 N , act at a point \(O\) in the directions of \(O A\) and \(O B\), as shown in the diagram. The angle between the forces is \(\theta\). The resultant of these two forces has magnitude 12 N .
  1. Find \(\theta\).
  2. Find the component of the resultant force in the direction of \(O A\).