What Acceleration Will the System Move With?

[wicked_vixen]

Homework Statement

.........__m5____
...|\....../....|
...|..\....../...|
..m1.|...m2....m4...|.m6
...|...\..../.....|
...|...45.\___m3___/30...|- All the boxes (m₁, m₂, m₃, m₄, m₅) are connected by strings.
- m₂ and m₄ are leaning on the wall.
- m₃ and m₅ are standing
- m₁ and m₆ are hanging
- the first incline (the one at the left) has an angle of 135 degrees (conventional) >> thus 45 degrees north of west (in a manner of speaking)
- the second incline has an angle of 30 degrees

m₁=35 kgm₂=15kg
u_s2=0.40
u_k2=0.20

m₃=7.0kg
u_s3=0.70
u_k3=0.60

m₄=5.0kg
u_s4=1.0
u_k4=0.80

m₅=15kg
u_s5=u_k5=0

m₆=10kg

AT WHAT ACCELERATION WILL IT MOVE?

Homework Equations

g = 9.8 m/s²
sin 30 = 0.500
cos 30 = 0.866
sin 45 = cos 45 = 0
F_f = u*F_N
v_f = v_i + at
d = v_it + ¹/₂at²
v_f² = v_i² + 2ad
v = (v_f + v_i) / 2

The Attempt at a Solution

I tried to get all m*u_s and added them all together but it doesn't seem right. And I didn't know where to go next and I'm not sure if I even started right.

 

[kyiydnlm]

draw free-body diagrams first; then you will find the answer by yourself.