2-D Motion Problem with 2 masses attached by a string.

[slavik12]

1. Homework Statement
Two blocks of masses m1 = 3.7 kg and m2 = 3.3 kg are connected by a string as shown in the figure above. The horizontal surface is frictionless. A 15 N force directed at 18 degrees above the horizontal acts on m2.
Determine the acceleration of the blocks and the tension in the string.

Homework Equations

m1=3.7kg
m2=3.3kg
F= 15N
θ_Fo=18°
F_f=0

The Attempt at a Solution

W_m2= 9.8m/s^2x3.3kg = 32.34N

∑Fx= m⋅a_x

-F_x+M1 =m⋅a_x
-(cos 18°⋅15N)+M1 = 3.3kg⋅-a_x
-14.26N+M2 =3.3kg⋅-a_x
a_x+M1 =4.321 m/s²

∑Fy=m⋅a_y

+F_y+FN -W_m2 =m⋅a_y

I'm kind of stuck after this..

 

[paisiello2]

Where's your FBD for mass m1?

Your nomenclature is kind of confusing. You use M1 for the tension force and there is also an m1 mass. Then you switch back and forth between M1 and M2 which I assume is just a typo.