In figure, the mass m2 = 10 kg slides on a frictionless shelf. The coefficients of static and kinetic friction between m2 and m1 = 5 kg are µs = 0.6 and µk = 0.4.

Question

(a) What is the maximum acceleration of m1?
(b) What is the maximum value of m3 if m1 moves with m2 without slipping?
(c) If m3 = 30 kg, find the acceleration of each body and the tension in the string.

M1
M2-----------
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m3