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Dynamics_Part70 - Problem Set 9 Problem 5 Problem A thin...

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Problem Set 9: Problem 5. Problem: A thin disk of mass m and radius R spins at constant angular velocity ω about an axis that passes through its center, Point O. The axis is supported by a housing, which is attached to a horizontal rod that rotates at constant angular velocity as shown. Determine the couple, M , that represents the dynamic reaction at support plate A. Solution: To solve, we work in a coordinate system rotating about the x axis with = i . In this reference frame, the disk rotates about the z axis with ω = ω k , and the angular momentum about the disk’s center, Point O, is H O = [ I ] ω where the disk’s inertia tensor is
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