Recent content by Bladerunner56

  1. Bladerunner56

    Graduate Standing jump on a spring platform

    correction, full period (0.8).
  2. Bladerunner56

    Graduate Standing jump on a spring platform

    Thank you. This all makes sense. It is interesting to look at the spring motion as ##\omega_{spring} / \omega_{legs}## gets larger than 1.0. These graphs of output show the harmonics I was referring to. ##\omega_{spring}/\omega_{legs} = 1, 4, 8.## Showing a half period. This solution includes...
  3. Bladerunner56

    Graduate Standing jump on a spring platform

    Thanks for the clarifying questions. I want to model reality, where the board is not stuck to the feet. In Matlab, I attempted to model the limit to the leg extension (force never attractive) by using a window function to stop the force after once cycle. Then only gravity would be pushing on the...
  4. Bladerunner56

    Graduate Standing jump on a spring platform

    I approached this problem using the driven mass-spring equation: $$m \frac {d^2 x} {d t^2} + c \frac {dx} {dt} + kx = F_0 \cos (\omega t + \phi)$$ The solution for x(t) is too long to write out here, but you can look it up, for example on hyperphysics. Using the general solution for x(t), I...
  5. Bladerunner56

    Graduate Standing jump on a spring platform

    thanks for the explanation.
  6. Bladerunner56

    Graduate Standing jump on a spring platform

    Hello PF, I'm looking for physics and math insights that will help me set up and solve a diff. eqn. for the height of a jump from a spring platform. The problem requires a bit of setup explanation, because it appears simple at first, but then, not so simple. First consider a person standing...
  7. Bladerunner56

    What are the latest findings in human biomechanics of running?

    I am a brand new member to PF after being a viewer for years. I live and work in Portland OR and am particularly fascinated in the human biomechanics of running. I work in science communication and participate in measurement studies to better understand the dynamics of running.