The collar A, having a mass M, is attached to a spring having a stiffness k. When rod BC rotates about the vertical axis, the collar slides outward along the smooth rod DE. If the spring is unstretched when x = 0, determine the constant speed of the collar in order that x = x₁. Also, what is the normal force of the rod on the collar? Neglect the size of the collar.

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Given: M = 0.75 kg N k = 200 X1 m 100 mm