The discussion revolves around the relationship between harmonic and circular motions, specifically focusing on the derivation of the equation ##\frac{v}{v_M} = \frac{\sqrt{A^2 - x^2 }}{A}##. Participants are examining the definitions and representations of the variables involved, as well as the geometric interpretations related to the equation.
The discussion is ongoing, with participants actively seeking clarification on the definitions and relationships between the variables. Multiple interpretations of the variables and their representations are being explored, indicating a productive exchange of ideas without a clear consensus yet.
There appears to be some confusion regarding the geometric setup and the assumptions made in the derivation, particularly concerning the representation of the variables in the figure referenced by participants.
Ok, I see where ##\sqrt{A^2-x^2}## came from. However, why are ##v_m = A## and ##v=\sqrt{A^2-x^2}##? According to the picture, shouldn't ##v=x##?SammyS said:
What is it that v and vm represent? What is the context of this figure and the quantities shown in it ?Calpalned said: