"Simple" Free Body Diagram( Control Systems Engineering) How to apply forces

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EB(E/A)E

Joined Mar 29, 2020
22
The problem is as follows to write an equation for this system. However, by following guides on Youtube I get my answer as shown in my embedded picture. Tho the real answer is something else:
X(s)/F(s) = 1/ 5s(s+0.8)

I didnt include the values of the constants my attempts, I just want to get the expression correct. I would assume my error is in how I apply the forces on the FBD(Free Body Diagram). ControlSystemsEngineeringNiseP24C2.jpg
 
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