I was indeed missing the 1 / R factor, but I can't figure out the meaning, tho.
If we know that Torque = I * a, and so, that Force = Torque / r, then the why woldn't it be correct for the first term to be ## \frac {T \m 2 I a} {r}, ##
And the second: ## \frac { 2 I a} {r} ##