How Does a Vertical Force Affect the Acceleration of a Two-Block System?

[brriney]

Homework Statement

Two blocks m1 = 8.5 kg and m2 = 4.0 kg are connected by a homogeneous rope that has a mass of mr = 1.14 kg. A constant vertical force, F = 180.4 N, is applied to the upper block. What is the magnitude of the acceleration of the system?

Homework Equations

F=ma

The Attempt at a Solution

I've got no clue! Can neone help?

 

[D H]

Is gravity involved, or is this the only force acting on the system?

What is the total mass of the system?

 

[brriney]

Yes gravity is a factor