Consider the 3 connected objects on the figure below. Block A has mass m, block B has mass 4m and ball C has mass 2m. Rope 1 is connecting blocks A and B and has tension of magnitude $T_1$. Rope 2 is connecting block B and ball C and has tension of magnitude $T_2$. The pulley is massless and frictionless, both ropes are massless. There is friction between the incline and the blocks (A and B) with coefficients $\mu_s$ and $\mu_k$. Blocks A and B are moving towards the top of the plane.
a) Find an expression for the acceleration of the blocks. Express your answer in terms of possibly $m$, $g$, $\theta$, $\mu_s$ and $\mu_k$.
b) If $m = 1.5$ kg, $\theta = 32^\circ$, $\mu_s = 0.55$ and $\mu_k = 0.3$, determine the magnitude and direction of the acceleration of ball C.
c) With the same data as question b), determine the values for $T_1$ and $T_2$.