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I feel exactly as Michael and Joel do. Ludwik, if you want to
show your students that your interpretation makes sense, don't
do it with Atwood's machine. Simply show them the problem
of two blocks on a horzontal frictionless surface, connected by
a string and pulled along by a string attached to one of the blocks.
That way the same lesson comes out, and there is no confusion
of directions or conventions. The equations can be the same as
those you get with Atwood's machine with the difference in ....