The small cylinder is made to move along the rotating rod with a motion between r = r0...

The small cylinder is made to move along the rotating rod with a motion between r = r₀ + b and r = r₀ - b given by, where t is the time counted from the instant the cylinder passes the position r = r₀ and is the period of the oscillation (time for one complete oscillation). Simultaneously, the rod rotates about the vertical at the constant angular rate . Determine the value of r for which the radial (r-direction) acceleration is zero.