1. The problem statement, all variables and given/known data The coefficient of friction between the each mass and the floor are μM and μm respectively. which system accelerates faster under the same F in case: 1) μM = μm 2) μM < μm 3) μM > μm 2. Relevant equations Friction force: ##f=mg\mu## 3. The attempt at a solution 1) Both systems accelerate the same. case A: $$F-(M+m)g\mu=(M+m)a$$ Case B: $$F-(Mg+T\sin\alpha+mg-T\sin\alpha)\mu=(M+m)a$$ 2)The acceleration is bigger since the net force available for accelerating is bigger. the left side of the inequality corresponds to A: $$F-[(M\mu_M+m\mu_m)g+(\mu_M-\mu_m)T\sin\alpha>F-(M\mu_M+m\mu_m)g$$ 3)The in verse of 2.