The 4-lb uniform slender rod AB, the 8-lb uniform slender rod BF, and the 4-lb uniform thin sleeve CE are connected as shown and move without friction in a vertical plane. The motion of the linkage is controlled by the couple M applied to rod AB. Knowing that at the instant shown the angular velocity of rod AB is 30 rad/s and the angular acceleration of rod AB is 96 rad/s2 clockwise, determine (a) the magnitude of the couple M, (b) the reaction at point D.
Fig. P16.129
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