Recent content by malaxtom

  1. malaxtom

    Particle dynamics applied to geometrically parametric line

    I have solved my initial problem. The equations of motion I presented and that you confirmed were correct. I was lamenting that because the "d" term accompanies the second derivative term in 2d\ddot{d} "d" will move into the denominator and therefore, the equation of motion will be unsolvable...
  2. malaxtom

    Particle dynamics applied to geometrically parametric line

    It's also really agitating me that the problem can not be solved for zero initial conditions in the d2 case.
  3. malaxtom

    Particle dynamics applied to geometrically parametric line

    The motivation behind this is an exercise in defining motion for a particle on any parametric curve where the parameter of the curve is geometric rather than time. Once applied in 1 space P(d) = [d2,0,0], I could look toward application in 2 and 3 space P(d) = [d2,d3,0] for a particle following...
  4. malaxtom

    Particle dynamics applied to geometrically parametric line

    I have an odd, yet intriguing question. I want to describe a particle that is constrained to move along a straight line in the x direction. The location of the particle can be described with theoretically infinite parametric parameters, d, along the line. For example: R = [d 0 0]T R = [d2 0 0]T...
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