solution:

We start by looking at Block 1

tex2html_wrap_inline53 is the force exerted by block two on block one and it is equal to the force exerted by block 1 on block 2.

eqnarray9

Now for Block 2:

eqnarray20

Lastly Block 3

eqnarray31

We now have 3 equations, one from each block, and three unknowns ( tex2html_wrap_inline55 ).
We write them out and add them up

eqnarray40

Now we have to simplify what we have to the form in the question:

eqnarray46