Recent content by theshape89

  1. theshape89

    Describing Rolling Constraint for Rolling Disk With No Slipping

    I believe we are keeping ##\phi## constant, since ##R## is constrained to move along the angle ##\phi##. I think I know what you're getting at; I'm not calculating the differential correctly. I can't in general vary ##x## without varying ##y## since ##R## is constrained to move along ##\phi##...
  2. theshape89

    Describing Rolling Constraint for Rolling Disk With No Slipping

    Thanks for the reply - looks like I completely messed this one up! If I start from the start and now say that ##R## is the distance from the origin to the center of the disk, I see what you're saying about ##\frac{dy}{dx}=tan\phi##. Then, expanding ##dR##, I get (remembering to put in the...
  3. theshape89

    Describing Rolling Constraint for Rolling Disk With No Slipping

    Let ##R=\sqrt{x^{2} + y^{2}}##. Then \begin{align}v_{tangential}&=\frac{dR}{dt} \nonumber\\ &=\frac{dR}{dx}\frac{dy}{dt} + \frac{dR}{dy}\frac{dy}{dt} \nonumber\\ &=\frac{x}{R}\frac{dx}{dt} + \frac{y}{R}\frac{dy}{dt} \nonumber\\ &= cos\phi \frac{dx}{dt} + sin\phi \frac{dy}{dt}.\nonumber...
  4. theshape89

    Electric Dipole Moment, Potential, and Field of contiuous charge

    I see my mistake! Thanks for the correction guys :)
  5. theshape89

    Electric Dipole Moment, Potential, and Field of contiuous charge

    I'm resurrecting a zombie thread here, but I think the answer given for the dipole potential is incorrect. TSny provides the correct method for obtaining it, despite saying that OP's answer for the dipole potential is correct. To expand a little, if we find ##V_{dipole}(x, y, z)## we get...
  6. theshape89

    Reconnecting with Math and Physics: A Data Scientist's Journey

    Hi everyone! I'm a data scientist in the defence industry who works primarily on spatiotemporal forecasting. I have a bachelor's degree in math and physics, buuuuut I 'learned' things in the worst way possible - by pretty much rote memorising how to solve problems rather than developing any...
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