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.
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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
 
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  • #3
Yep but how i show that the leght in that equation is invariant in galilean tranformation
 

FAQ: Is Length Invariant Under Galilean Transformations?

What is the main problem with modern physics?

The main problem with modern physics is that it has not been able to reconcile the two major theories of physics - general relativity and quantum mechanics. These theories have been incredibly successful in explaining different phenomena in the universe, but they contradict each other and cannot be applied together in certain situations.

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This problem has led to a stagnation in scientific progress, as scientists are still unable to fully understand and explain certain phenomena, such as the behavior of black holes and the origin of the universe. It has also caused a divide among physicists, with some advocating for a new theory that can unify general relativity and quantum mechanics.

Can this problem be solved?

Many scientists believe that this problem can be solved, but it will require a major breakthrough in physics. Some theories, such as string theory, attempt to unify general relativity and quantum mechanics, but they have not yet been experimentally proven. Other approaches, such as loop quantum gravity, also show promise but have not yet been fully developed.

How does this problem affect our understanding of the universe?

The inability to reconcile general relativity and quantum mechanics limits our understanding of the fundamental laws that govern the universe. It also prevents us from fully understanding the behavior of objects such as black holes and the origins of the universe itself. Until this problem is solved, our understanding of the universe will remain incomplete.

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The problem with modern physics has a significant impact on other fields, such as cosmology, astronomy, and engineering. Without a complete understanding of the laws of physics, it is difficult to accurately predict and explain phenomena in these fields. It also hinders the development of new technologies that could potentially improve our lives.

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