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Relationship between harmonic and circular motions

  1. Apr 21, 2015 #1
    1. The problem statement, all variables and given/known data
    How is ##\frac{v}{v_M} = \frac{\sqrt{A^2 - x^2 }}{A}## derived?
    IMG_5167.JPG

    2. Relevant equations
    n/a

    3. The attempt at a solution
    I don't see a right angle in the picture anywhere, so I don't see how pythagorean's theorem is valid.
     
  2. jcsd
  3. Apr 21, 2015 #2

    SammyS

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    I see three.

    Snapshot.jpg

    What do v and vm represent?
     
  4. Apr 22, 2015 #3
    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##?
     
    Last edited: Apr 22, 2015
  5. Apr 22, 2015 #4
    Why did the textbook choose to do ##\frac{v}{v_M}##?
     
  6. Apr 22, 2015 #5

    SammyS

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    What is it that v and vm represent? What is the context of this figure and the quantities shown in it ?
     
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