Well, I assume that F_v is the force that the 5th vertebrae exerts...
You can resolve the forces or use Lami's Theorem. But I'll go with resolving the forces first and if you want to know about the Lami's Theorem, I'll post upon your request.
Components acting along the vertical:
50 + 60 sin(33) = F sin(\theta)
Components acting along the horizontal:
60 cos(33) = F cos(\theta)
Two equations, two unknowns. It should be easy to solve for F and theta.
As for the minimal strain, I'm afraid that it goes into biology, more specifically into bones and locomotive system which I'm not familar with.
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