A shaft carries four rotating masses A, B, C and D in this order along its axis.

Question:

A shaft carries four rotating masses A, B, C and D in this order along its axis. The mass A may be assumed concentrated at a radius of 120 mm, B at 150 mm, C at 130 mm, and D at 180 mm.

The masses at A, C and D are 10, 15 and 12 kg, respectively. The planes of rotation of A and B are 150 mm apart and of B and C are 200 mm apart. The angle between A and C is 90°. If the shaft is in complete dynamic balance, determine

(a) the angles between the radii of A, B and D,

(b) the distance between the planes of rotation of C and D, and

(c) the mass B.

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