When a slice of buttered toast is accidentally pushed over the edge of a counter, it rotates as it falls. If the distance to the floor is 76 centimeter and for rotation less than 1 rev, Determine the
(a) the smallest and
(b) largest angular speeds that cause the toast to hit and then topple to be butter side down? Suppose free-fall acceleration to be equal to 9.81 m/s^2.