- Three particles of masses \(3 m , 4 m\) and \(k m\) are positioned at the points with coordinates ( \(2 a , 3 a\) ), ( \(a , 5 a\) ) and ( \(2 \mu a , \mu a\) ) respectively, where \(k\) and \(\mu\) are constants.
The centre of mass of the three particles is at the point with coordinates \(( 2 a , 4 a )\).
Find (i) the value of \(k\)
(ii) the value of \(\mu\)