Three mass particles are rigidly attached to a simply supported shaft that is rotating with a constant angular velocity ω = 15 rad/s. Determine the magnitudes and orientations of the bearing reaction forces at A and B. Then determine the magnitudes and orientations of the correcting masses that must be added in the two correcting planes, 1 and 2, to dynamically balance the system. The correcting masses are to be placed at radial distances RC1 =

RC2 = 25 mm from the shaft axis.