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

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The discussion revolves around a physics problem involving two blocks, m1 (3.7 kg) and m2 (3.3 kg), connected by a string on a frictionless surface, with a 15 N force applied at an angle of 18 degrees. Participants are tasked with determining the acceleration of the blocks and the tension in the string. The calculations presented include the weight of m2 and the forces acting on both masses, but the user expresses confusion regarding the free body diagram (FBD) for m1 and the notation used for forces. Clarifications are suggested regarding the use of M1 and M2 to avoid confusion. The conversation highlights the importance of clear nomenclature and accurate diagram representation in solving physics problems.
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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
θFo=18°
Ff=0

The Attempt at a Solution



Snapshot.jpg

Wm2= 9.8m/s^2x3.3kg = 32.34N

∑Fx= m⋅ax

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

∑Fy=m⋅ay

+Fy+FN -Wm2 =m⋅ay

I'm kind of stuck after this..
 
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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.
 

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