Rich, I'm sending the solutions now. For #14, we added the two simultaneous equations - the first one describing the forces on m and the second one describing the forces on M. The acceleration that M feels is a combination of the rope accelerating down (a sub b) and M accelerating down the rope at (a). When the two equations are added, that gives us an Ma that adds to a sub b, resulting in the M + m term. John
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