How Does Galilean Transformation Apply to Moving Coordinate Systems?

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SUMMARY

The discussion focuses on applying Galilean transformation to moving coordinate systems, specifically transforming coordinates from reference system K to K' under various conditions. The problem involves calculating the coordinates of point M (5m, 2m, 8m) in K' moving at 7 m/s along the z-axis and determining the equations of motion in both K and K' for different scenarios. Key concepts include Galilei's principle of relativity and inertial reference frames, which are essential for understanding the transformations involved.

PREREQUISITES
  • Galilean transformation principles
  • Inertial reference frames
  • Basic kinematics equations
  • Understanding of coordinate systems
NEXT STEPS
  • Study the derivation of Galilean transformation equations
  • Explore examples of inertial reference frames in physics
  • Learn about the implications of Galilei's principle of relativity
  • Investigate kinematic equations in different reference frames
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Students studying physics, particularly those focusing on mechanics and relativity, as well as educators seeking to explain coordinate transformations in moving systems.

latel
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I am sorry if it is wrong topic , and sorry if it is a bit bad text - translated it from estonian to english. If someone could do it and maybe explain this- that would be great.

Homework Statement



1)In the reference system K is point M with coordinates x=5m , y=2m and z=8m. You have to find that point coordinates in refenrece system K', which moves with velocity 7 m/s aiming z-axis.

2)Particles equations of motion in reference system K' is
x'=5t+4
y'=0
z'=0

Write out this particles equations of motion in reference system K, if:

a) K' is still according to K and its deperature point coordinates are O' (2;0;0).

b) K' is moving according to K evenly and straight with velocity 10 m/s aiming x-axis.
On observation start-moment t=0 both coordinate systems deperature points were same.

Homework Equations


Galilei's principle of relativity, Galilean transformation and and inertial reference frame.
http://img163.imageshack.us/i/referencesystem.png/
http://img692.imageshack.us/i/referencesystem2.png/


The Attempt at a Solution


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Last edited:
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Hi latel, welcome to PF!:smile:

We don't do your homework for you here; you need to make an attempt and show your work, so that we can see where you are having trouble.
 
I can't understand this - how to put these into coordinate system ?
 

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