What is the Differential Equation for This Mechanical System?

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In summary, the conversation is about finding the differential equation of a mechanical system, represented by a diagram with a spring, mass, and dampener. The person is unsure about the meaning of some symbols in the diagram, such as G and f(t), but plans to use Newton or Lagrange equations to solve the problem. They speculate that G is a dampening constant and the black dot is a fixed point, and are unsure if f(t) represents a force or position.
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gjfelix2001
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Homework Statement



In this problem I'm asked to give the differential equation of the mechanical system in the following diagram:

http://www.jelp.org/imagenes/mech.jpg

Homework Equations



Once i understand the diagram, i'll get the motion equation by Newton or lagrange. But what is G in the diagram?? I can't ask to the "creator of the draw". Is the black dot fixed? What do you think?? Thanks a lot...
 
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The "squggle" is a spring with spring constant K, the box is a mass. The open box G is a "dash pot" or dampener with dampening constant G (applies a force -G times the velocity) and of course the wall on the right is a wall i.e. fixed point.

I'm not sure about the f(t), whether that is a force or a position x1=f(t). My guess is that it is indeed a force.
 

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