CAIE M1 2003 June — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2003
SessionJune
TopicVectors Introduction & 2D

2
\includegraphics[max width=\textwidth, alt={}, center]{cb04a09c-af23-4e9d-b3da-da9e351fe879-2_405_384_550_884} Three coplanar forces of magnitudes \(10 \mathrm {~N} , 10 \mathrm {~N}\) and 6 N act at a point \(P\) in the directions shown in the diagram. \(P Q\) is the bisector of the angle between the two forces of magnitude 10 N .
  1. Find the component of the resultant of the three forces
    (a) in the direction of \(P Q\),
    (b) in the direction perpendicular to \(P Q\).
  2. Find the magnitude of the resultant of the three forces.