Let's say I have a rod that I need rotating, like in a regular crank mechanism:
Now, the motor I use is too weak to generate the required amount of torque to move the mechanism. So I put a gear with 10 teeth on the motor, and replace the wheel with a 40-toothed gear. Now I have a mechanical advantage of 4, so the driven gear can deliver 4 times the amount of torque that the motor can.
Does the amount of torque that the driven gear can transfer differ when I connect the rod close to the hub of the gear, compared to when I connect it closer to the rim?