Question

It involves three masses, with mass 2 being the cart that can roll freely on a horizontal table. There is no friction anywhere. The cart system is let go with everything initially at rest. You are to find the accelerations for each of the three masses relative to the ground. (They are all different.)

Answer 1

This question does not make any sense, first of all you mention where 1 of the 3 masses are located also what is your force acting here? Is it a tension force acting on the freely rolling cart or the fact that the table is horizontal will do something here?
Post some more info or a picture if you can.