A thin circular rod is supported in a vertical plane by a

Chapter 13, Problem 13.66

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A thin circular rod is supported in a vertical plane by a bracket at A. Attached to the bracket and loosely wound around the rod is a spring of constant k = 3 lb/ft and undeformed length equal to the arc of circle AB. An 8-oz collar C, not attached to the spring, can slide without friction along the rod. Knowing that the collar is released from rest at an angle u with the vertical, determine (a) the smallest value of u for which the collar will pass through D and reach point A, (b) the velocity of the collar as it reaches point A.

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