The flat circular disk rotates about a vertical axis through O with a slowly increasing...

The flat circular disk rotates about a vertical axis through O with a slowly increasing angular velocity ω. Prior to rotation, each of the 0.5-kg sliding blocks has the position x = 25 mm with no force in its attached spring. Each spring has a stiffness of 400 N/m. Determine the value of x for each spring for a steady speed of 240 rev/min. Also calculate the normal force N exerted by the side of the slot on the block. Neglect any friction between the blocks and the slots, and neglect the mass of the springs. (Hint: Sum forces along and normal to the slot.)