The small cylinder is made to move along the rotating rod with a motion between r = r0 + b and r0 - b given by r = r0 + b sin(2πt/τ), where t is the time counted from the instant the cylinder passes the position r = r0 and τ 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. solve for the case r0 = 330 mm, b = 200 mm, τ = 1.6 s, and = 2.8 rad/s.