The position of the small 0.5-kg blocks in the smooth radial slots in the disk which rot...

The position of the small 0.5-kg blocks in the smooth radial slots in the disk which rotates about a vertical axis at O is used to activate a speedcontrol mechanism. If each block moves from r = 150 mm to r = 175 mm while the speed of the disk changes slowly from 300 rev/min to 400 rev/min, design the spring by calculating the spring constant k of each spring. The springs are attached to the inner ends of the slots and to the blocks.