Chapter 10.12, Problem 10.9QQ

Two items A and B are placed at the top of an incline and released from rest. For each of the three pairs of items in (i), (ii), and (iii), which item arrives at the bottom of the incline first? (i) a ball A rolling without slipping and a box B sliding on a frictionless portion of the incline (ii) a sphere A that has twice the mass and twice the radius of a sphere B, where both roll without slipping (iii) a sphere A that has the same mass and radius as a sphere B, but sphere A is solid while sphere B is hollow and both roll without slipping. Choose from the following list for each of the three pairs of items, (a) item A (b) item B (c) items A and B arrive at the same time (d) impossible to determine