Recent content by JProffitt71

  1. J

    Troubles with Ellipses (Cartesian -> Polar)

    It has been resolved, and I figured out precisely where I was wrong. My understanding of an ellipse was derived from the parametric representation of a circle, where x = acos(t) and y = bsin(t). In other words I just imagined taking a circle and stretching it in one dimension or another. This...
  2. J

    Troubles with Ellipses (Cartesian -> Polar)

    That makes a kind of sense in its own right, and I can easily derive the official equation for r from that. However, intuitively I am still at a loss. What exactly did I create, if not an equation for finding the length r, given any angle? Perhaps this will make more sense after I practice some...
  3. J

    Troubles with Ellipses (Cartesian -> Polar)

    Okay, so I have just broken into the polar coordinate system, and I like to derive things on my own to strengthen my intuition. I decided to try and derive the equation of an ellipse swiftly on my own, and had the high ambitions of eventually deriving the area of an ellipse with polar...
  4. J

    Why is Fundamental Math Failing Me?

    Citan Uzuki, thank you very much. Order has been restored. I am quite a fool.
  5. J

    Why is Fundamental Math Failing Me?

    That makes perfect sense, and I am still perplexed. I suppose the graph is what I have an issue with. In my mind I expect it to show equivalent exchange at all points, and it does not. It actually shows the inverse. This is what happens when I do not get enough sleep it seems.
  6. J

    Why is Fundamental Math Failing Me?

    My Fundamental Math Failing This should illicit a chuckle or perhaps despair in humanity. The statement "One silver piece is equivalent to two copper pieces" is not equivalent to the equation "S = 2C" (Where S = silver and C = copper). I cannot for the life of me figure out why. I can work...
  7. J

    Inertia: Mass Irrelevant in Determining Acceleration?

    Hmm, so its hard imaging that a 1kg weight will slow down as fast as a 100kg weight when sliding across the same surface in real life. Yeah, I can see why that wouldn't make sense intuitively. Perhaps it would help to consider how external forces influence these. It would take 100x as much force...
  8. J

    Conceptual Question on Rolling Objects

    Okay, so I am somewhat new to physics (finishing up my first Mechanics/EM course), and I often get stuck on concepts until they make sense to me intuitively. Everything to do with translational motion made sense instantaneously, and I have powered through EM, but I have always struggled with...
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