For a simple planetary gear system with a single input shaft of a known torque, the output torques of the other two shaft can be calculated using the equations below (for a steady state system).
If I were to apply torques to two of the shafts how could I go about calculating the torque of the final shaft for a steady state system?
My intuition is that for a steady state system the sum of external torques (the shafts) must be 0. In this case the output torque will be the sum of the two inputs.
Edit: By the above comment I mean Tt + Tc + Ts = 0
Am I missing something?