Problem on Balancing of Several Masses Rotating in Different Planes

Problem on Balancing of Several Masses Rotating in Different Planes
A shaft carries four masses A, B, C and D of magnitude 200 kg, 300 kg,
400 kg and 200 kg respectively and revolving at radii 80mm, 70 mm, 60 mm and 80 mm in planes
measured from A at 300 mm, 400 mm and 700 mm. The angles between the cranks measured
anticlockwise are A to B 45°, B to C 70° and C to D 120°. The balancing masses are to be placed
in planes X and Y. The distance between the planes A and X is 100 mm, between X and Y is 400
mm and between Y and D is 200 mm. If the balancing masses revolve at a radius of 100 mm, find
their magnitudes and angular positions.