Recent content by JProffitt71
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J
Undergrad 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...- JProffitt71
- Post #5
- Forum: Calculus
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J
Undergrad 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...- JProffitt71
- Post #4
- Forum: Calculus
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J
Undergrad 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...- JProffitt71
- Thread
- Cartesian ellipses Polar
- Replies: 5
- Forum: Calculus
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J
High School Why is Fundamental Math Failing Me?
Citan Uzuki, thank you very much. Order has been restored. I am quite a fool.- JProffitt71
- Post #6
- Forum: General Math
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J
High School 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.- JProffitt71
- Post #4
- Forum: General Math
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J
High School 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...- JProffitt71
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- Failing Fundamental
- Replies: 5
- Forum: General Math
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J
Undergrad 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...- JProffitt71
- Post #4
- Forum: Mechanics
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J
Undergrad 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...- JProffitt71
- Thread
- Conceptual Rolling
- Replies: 7
- Forum: Mechanics