Recent content by wrobel

  1. wrobel

    Graduate On a paper by Udwadia and Kalaba

    Critical review of the article cited in the original post
  2. wrobel

    What force causes precession?

    Mechanics is an inherently nonlinear science with plenty of counterintuitive effects. I believe that trying to explain everything on hand-wavy level is not only counterproductive, but actually harmful. Two forces act on the rigid body: the string tension and gravity. They cause precession...
  3. wrobel

    High School Deriving the "third" kinematic equation using graphs

    Looks like a 'big science' pulled out of thin air.
  4. wrobel

    High School Can anyone deeply understand relativity?

    That's exactly what I mean. And I was reading a book by a philosopher of science, and he claimed that Einstein canceled Newton.
  5. wrobel

    High School Can anyone deeply understand relativity?

    I doubt that this statement is applicable to the history of science.
  6. wrobel

    High School Can anyone deeply understand relativity?

    A general note (just for historical fairness): the theory of relativity originated with Poincaré, not Einstein. And it was developed not only through Einstein's efforts—far from exclusively his.
  7. wrobel

    High School Can anyone deeply understand relativity?

    I think OP suffers from a lack of intuitive clarity regarding relativity
  8. wrobel

    High School Can anyone deeply understand relativity?

    The whole point is what is meant by the word 'understand'. For example, any qualified mathematician can understand the theory of relativity.
  9. wrobel

    Solving an elementary trigonometric equation

    Multiply the last equation by ##e^{ix}## and substitute ##u=e^{ix}##
  10. wrobel

    Undergrad Classical kinematics: cone and coin

    Consider a right cone with vertex ##O## and vertex angle ##2\alpha##. A coin of radius ##r## rolls around the cone without slipping being in contact with the cone along a generatrix, such that the center of the coin coincides with the vertex of the cone. Let a point ##M## lie on the coin's rim...
  11. wrobel

    problem with account

    I fixed the issue. Your help was invaluable.
  12. wrobel

    High School Just a cool high school problem

    edited edited
  13. wrobel

    High School Just a cool high school problem

    Honestly, I'm a bit shocked by everything that's going on here. $$x(t)=-R\omega t\sin\varphi+R\cos \varphi$$ $$y(t)=-gt^2/2+R\omega t\cos\varphi+R\sin\varphi$$ $$x(T)=-x(0),\quad y(T)=y(0)$$ Two equations, two unknowns: ##\varphi,\omega##