Can they balance out?Classical Mechanics Level pending
A shaft carries four masses A, B, C, D of magnitude 200kg, 300kg, 400kg, 200kg respectively and revolving at radii 80mm, 70mm, 60mm, 80mm in planes measured from A at 300 mm, 400 mm, 700 mm.
The angles between the cranks measured anticlockwise are A to B of 45 degress, B to C of 70 degrees, C to D of 120 degrees. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 100mm, between X and Y is 400 mm and between Y and D is 200mm.
What are the positions of masses A, B, C, D, X, Y with respect to each other in one line?