The problem is that you continue to deny drag as a factor.
A metal gun mount in a helicopter has no joints designed to separate and is never exposed to aerodynamic forces that will shear a grade 8 steel bolt. In a helicopter crash, the deceleration forces produced by impact are orders of magnitude greater than any aerodynamic drag any part of the helicopter would ever see. In those situations, yes, you can ignore drag. ( it is insignificant, but not 0 )
We are talking about a rocket in flight that does have a joint designed to separate and hopefully is not impacting the earth. As soon as the motor burns out,
the force acting differentially on the rocket across the joint is aerodynamic drag.
(the pressure from an insufficiently vented bay also impacts the required strength of the shear pins)
In this situation your post is incorrect and highly misleading to those who want to learn something about drag separation. If you are an engineer, you should be able to understand the free body diagram. Please study it again before you post any more nonsense.
No, youre right, I am ignoring drag. This it is not because I refuse to acknowledge it or dont believe in it or dont understand it. I am just sidelining it for the sake of discussion so that the other forces at play can be considered. Most, probably all, of the other forces affecting the flight have more impact on the flight dynamics than drag.
I guess my primary objection to the concept of Drag Separation as a term is that the aerodynamic drag is rarely the effect being observed. it is a fictional term given to a failure mode that has no wide acceptance outside hobby rocketry.
I will admit, If all things were otherwise equal, between the two sections, then drag may be the remaining force causing the separation.
In Mr. Dixons submission, The rocket, as a complete assembly has less drag than each if its parts or the sum of its parts/2. Only after nosecone separation does the sustainer Cd increase significantly, as does the nosecone Cd, and for similar reasons. The timing is important. The rocket design is essentially an airfoil, albeit clipped at the trailing end, since it has an ogive nosecone and an ogive tail cone as shown in the rocksim profile.
The nose cone Cd increases once it separates from the sustainer because it suddenly changes form from an airfoil to a flat end ogive. The sustainer Cd also increases once it separates from the nosecone transforming from an airfoil to an open ended cylinder with an interior bulkhead to inhibit airflow through it and an ogive tail cone.
If the sustainer did pass the nosecone, in flight, as described, and I have no doubt that it did, then we know that the sustainer had the larger potential energy stored in it. Conversely, the nosecone was able to shed its stored energy faster, because it was lighter, the Cd changed the effective drag making the loss of energy more efficient.
So why did the nose cone feel it necessary to leave the sustainer if the sustainer was more energetic? That is the essence of the question we need to answer in the example given by Mr. Dixon.