Barn-Pole Nuts & Bolts contradiction

This problem is the classic Barn Pole paradox with the barn replaced
by a long threaded nut and the pole replaced by a long threaded rod.

Let there be a threaded nut of length L and a threaded rod also of
length L as measured in a rest frame. Let each of these have N
threads. Now let the threaded rod and threaded nut move toward each
other with equal and opposite velocities as measured in this rest
frame. And let the threaded nut and the threaded rod each rotate such
that when they meet the rotation rate is such that threaded nut and
threaded rod fit perfectly and neither the rod nor the nut undergo any
acceleration.

How is this viewed using SR in the rest frame of the nut? In this
frame, per SR, the threaded rod spans a shorter distance than the
threaded nut. So that when the rod is completely encased by the
nut,as viewed in the inertial frame of the nut, the N threads of the
rod span less than the N threads of the nut. I don't see how this is
physically possible. Can someone explain this using SR concepts.
Thanks,
David Seppala
.

Relevant Pages

  • Re: Barn-Pole Nuts & Bolts contradiction
    ... the barn replaced by a long threaded nut and the ... pole replaced by a long threaded rod. ... How do you have rotation without acceleration, David? ...
    (sci.physics.relativity)
  • Re: Barn-Pole Nuts & Bolts contradiction
    ... pole replaced by a long threaded rod. ... Now let the threaded rod and threaded nut move ... velocities as measured in this rest frame. ... known I meant linear acceleration. ...
    (sci.physics.relativity)
  • Re: Barn-Pole Nuts & Bolts contradiction
    ... by a long threaded nut and the pole replaced by a long threaded rod. ... How is this viewed using SR in the rest frame of the nut? ... You repeatedly and consistently ignore what people keep telling you, and making the same mistakes. ...
    (sci.physics.relativity)
  • Re: Threaded Rod Time Dilation Contradiction
    ... You keep coming up with these "contradictions" via the same method: ... my frame or whether it is moving in my frame it still takes the same ... off either end A or B of the threaded rod. ... to the end of the rod is independent of the motion of the threaded ...
    (sci.physics.relativity)
  • Threaded Rod Time Dilation Contradiction
    ... Einstein's notion of time running slower in different reference ... Let's say there is a threaded rod with 200 threads along its length. ... Let there be a nut at the center of this rod. ... frame which I'll call Frame 1. ...
    (sci.physics.relativity)
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