Is Length Invariant Under Galilean Transformations?

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The discussion centers on demonstrating that the length of a bar remains invariant under Galilean transformations. The key equation provided is x' = x - vt, where time t is the same in both frames (t' = t). The participant expresses confusion about how to prove length invariance using this equation, noting that from frame S', the perceived length appears to dilate. Clarification is sought on how to reconcile this observation with the concept of length invariance in Galilean transformations. The conversation highlights the challenge of understanding length measurement across different reference frames.
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Homework Statement



Consider a bar of length as measured in frame S. Show that the bar has the same length in
frame S’, that is, show that lengths are invariant under Galilean transformations.

Homework Equations


x'=x-vt


The Attempt at a Solution



I know that t'=t
y'=y
z'=z
so

x'=x-vt


The problem is that i don't understant how to make it valit with the equation, i undestant that the space from th point of view of S' dilates and is not invariant .
 
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Yep but how i show that the leght in that equation is invariant in galilean tranformation
 

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