A prototype rotating bicycle rack is designed to save space at a train station. The combined weight of platform BD and the bicycle is 40 lb and is centered at 1 ft above the midpoint of the platform. The motor at A causes the support beam AB to have an angular velocity of 10 rpm and zero angular acceleration at θ = 60°. At this instant, determine the vertical components of the forces exerted on platform BD by the pins at B and D.

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A 5 ft M 0 Fig. P16.18 Ico B 6 ft E 5 ft D