- Three particles of masses \(2 m , 3 m\) and \(k m\) are placed at the points with coordinates (3a, 2a), (a, -4a) and (-3a, 4a) respectively.
The centre of mass of the three particles lies at the point with coordinates \(( \bar { x } , \bar { y } )\).
- Find \(\bar { x }\) in terms of \(a\) and \(k\)
- Find \(\bar { y }\) in terms of \(a\) and \(k\)
Given that the distance of the centre of mass of the three particles from the point ( 0,0 ) is \(\frac { 1 } { 3 } a\)
- find the possible values of \(k\)