I'm an electrical engineer and just not motivated to go study physics I haven't looked at in 15 years to get an answer. I imagine someone here can spit this out pretty quickly.
We have a test system where we connect hydraulic motors through a torque sensor to a gearbox that is connected to a servo motor. The servo motor is used to establish loads to the hydraulic motor under test.
There is a brake mechanism near the hydraulic motor such that when the brake is applied the inertia of the gearbox and servo system is applying a force across the torque sensor.
What I haven't been able to "thought experiment" and because I haven't worked through all the math is whether I would see a momentary torque spike on my sensor or not.
Certain tests call for spinning the motor as high as 7000 rpm and the motor must drive a 100 in-lb load. I also don't know off hand how fast the brake needs to stop the motor. Am I going to need to know how much inertia is in the servo/gear box before any of this makes sense?