The 15-kg slender bar OA is released from rest in the vertical position and compresses t...

The 15-kg slender bar OA is released from rest in the vertical position and compresses the spring of stiffness 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 ω = 4 rad/s as it crosses the horizontal position. What is the effect of x on the dynamics of the problem?