Edexcel FM2 2020 June — Question 1

Exam BoardEdexcel
ModuleFM2 (Further Mechanics 2)
Year2020
SessionJune
TopicCentre of Mass 1

  1. Three particles of masses \(3 m\), \(4 m\) and \(2 m\) are placed at the points \(( - 2,2 ) , ( 3,1 )\) and ( \(p , p\) ) respectively.
The value of \(p\) is such that the distance of the centre of mass of the three particles from the point ( 0,0 ) is as small as possible. Find the value of \(p\).