Edexcel M2 2014 June — Question 1

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2014
SessionJune
TopicCentre of Mass 1

  1. Three particles of mass \(3 m , 2 m\) and \(k m\) are placed at the points whose coordinates are \(( 1,5 ) , ( 6,4 )\) and \(( a , 1 )\) respectively. The centre of mass of the three particles is at the point with coordinates \(( 3,3 )\).
Find
  1. the value of \(k\),
  2. the value of \(a\).