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 80 mm, 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.
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