ProblemSet 9: Problem 5.Problem:A thin disk of massmand radiusRspins at constant angular velocityωabout an axis thatpasses through its center, Point O. The axis is supported by a housing, which is attached to a horizontalrod that rotates at constant angular velocityΩas shown. Determine the couple,M, that represents thedynamic reaction at support plate A.Solution:To solve, we work in a coordinate system rotating about thexaxis withΩ=Ωi.In thisreference frame, the disk rotates about thezaxis withω=ωk, and the angular momentum about thedisk’s center, Point O, isHO= [I]ωwhere the disk’s inertia tensor is
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