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Q3. Three masses are attached to a disc and rotate in the same plane. Mass A is 4.5 kg at 0.9 m radius, mass B is 5.2 kg at radius 1 m, mass C is 3.2 kg at radius 1.4 m. Masses B and C are 130° and 200° respectively clockwise from mass A. Determine EACH of the following:

(a) The magnitude and direction of the resultant out of balance force when the disc rotates at 60 rev/min;

(b) The radius and angular position at which a 6 kg balance mass should be placed.