In the picture below, Box 1 (m1) is hanging from a string that passes over a pulley. There's no friction in the pulley, and the pulley has no mass, so it can spin freely. The string is then connected to Box 2 (m2) sitting on a table. For simplicity, let's assume there's no friction on the table - there's some lubrication between the box and the table.
Open this page in a new window or tab to fill out the poll - there's 6 short questions (check boxes) about how the blocks will move.
X-posted a couple places.