A shaft carries four masses in parallel planes A, B, C and D in order. The masses at B and C are 18 kg and 12.5 kg respectively and each has an eccentricity of 6 cm. The masses at A and D have an eccentricity of 8 cm. The angle between the masses at B and C is 1000 and that between the masses at B and C is 1000 and that between the masses at B and A is 1900 (both angles measured in the same sense). The axial distance between the planes A and B is 10 cm and between B and C 20 cm. If the shaft is in complete dynamic balance, determine
- the masses at A and D
- the distance between the planes C and D.
- the angular position of the mass at D.