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It might be helpful to know if the ratio of masses is greater or less than the ratio of static and kinetic coefficients of friction.Ho ho, you're very insightful! That key piece of info does indeed
arise. We are told that M>m (and physics requires mu_k<= mu_s). But
we also told to consider ALL cases. So please go ahead and suppose
that mu_k/mu_s<= m/M, which is indeed required if the heavy block is
to slip on the ribbon while the light block does not. -Carl