A platform is rotating at an angular speed of 2.5 rad/s. A block is resting on this platform at a distance of 0.34 meter from the axis. The coefficient of static friction between the block and the platform is 0.75. Without any external torque acting on the system, the block is moved toward the axis. Neglect the moment of inertia of the platform and obtain the smallest distance from the axis at which the block can be relocated and still remain in place as the platform rotates.