Recent content by malaxtom
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Graduate 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... -
Graduate 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. -
Graduate 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... -
Graduate 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...