Is Length Invariant Under Galilean Transformations?

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In summary, the conversation discusses the concept of length invariance under Galilean transformations. The bar length, as measured in frame S, is shown to be the same in frame S'. The equations for length invariance, x'=x-vt and y'=y, are mentioned, but there is confusion on how this applies to the concept. The video suggested at 12:40 also discusses this topic.
  • #1
hatachiclaud
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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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  • #2
skip to 12:40 on this video
 
Last edited by a moderator:
  • #3
Yep but how i show that the leght in that equation is invariant in galilean tranformation
 

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