Relative Velocity of locus of curves

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Discussion Overview

The discussion revolves around the derivation of equation 4.1.17 from equation 4.1.10, as referenced in an attachment. Participants are seeking clarification on the meaning of \(\frac{d \phi}{dt}\) and its relation to the content provided in equation 2.1.30. The scope includes theoretical exploration and clarification of mathematical expressions.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses confusion about how equation 4.1.17 is derived from equation 4.1.10 and seeks clarification on the term \(\frac{d \phi}{dt}\).
  • Another participant suggests posting a clearer picture to aid understanding.
  • A subsequent reply indicates an attempt to provide a better image of the relevant equations for clarity.
  • Further, a participant shares a readable picture with pasted equations, aiming to facilitate discussion.

Areas of Agreement / Disagreement

The discussion appears to be unresolved, with participants expressing confusion and seeking clarification without reaching a consensus on the derivation or the meaning of the terms involved.

Contextual Notes

Limitations include potential issues with the resolution of the images shared and the clarity of the equations presented, which may affect participants' understanding of the derivation process.

bugatti79
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Hi Folks,
I am struggling to see how eqn 4.1.17 is arrived at using using eqn 4.1.10 at bottom of attachment. Its not clear to me what [tex]\frac{d \phi}{dt}[/tex] is...apart from what is given in eqn 2.1.30...
Any ideas?
Thanks
Relative Velocity.png
 
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I have an idea ... post a pic that can be read
 
Hi.
Ok..I will try another picture again tomorrow.

I think there should be enough resolution in the photo when you zoom in.
Thanks
 
Hi,

This is the best I can do regarding a readable picture where I have pasted the relevant eqns.

Relative Velocity r2.png

Thanks
 

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