9. Three particles of masses 2m, 3m and km are placed at the points with coordinates...

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9. Three particles of masses 2m, 3m and km are placed at the points with coordinates (3a, 2a), (a, -4a) and (-3a, 4a) respectively. The center of mass of the three particles lies at the point with coordinates (p,q). a) Find 'p' and 'q' in terms of 'a' and 'k'. b) If the distance of the center of mass to the origin is a/3, find all possible values of 'k'. 9. Three particles of masses 2m, 3m and km are placed at the points with coordinates (3a, 2a), (a, -4a) and (-3a, 4a) respectively. The center of mass of the three particles lies at the point with coordinates (p,q). a) Find 'p' and 'q' in terms of 'a' and 'k'. b) If the distance of the center of mass to the origin is a/3, find all possible values of 'k'.

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To solve part a of this question we need to calculate the coordinates of the center of mass of the system of particles The coordinates of the center o... View the full answer