The 15-kg slender bar OA is released from rest in the vertical position and compresses the spring of stiffness k = 20 kN/m as the horizontal position is passed. Determine the proper setting of the spring, by specifying the distance h, which will result in the bar having an angular velocity w = 4 rad/s as it crosses the horizontal position. What is the effect of x on the dynamics of the problem?

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A 600 mm hi x = 400 mm