Thread: check this math please

  1. #1
    Join Date
    Jan 2003

    check this math please

    out of the goodness of your heart, i want to make sure i derived these nasty equations properly. I'm trying to find the instantaneous force of gravity on a particle that has come to rest on the parametric object represented by these equations:

    X = 10cos(t) + (cos(t) * 2sin(9t))
    Y = 10sin(t) + (sin(t) * 2sin(9t))

    It's a sine wave that travels around a circle. The particle comes to rest at t=1.04, or (5,8.66). These are the equations i get for the derivatives of x and y using product and chain rules:

    X = -10sin(t) (sin(t) * 2sin(9t)) + (cos(t) * 18cos(9t))
    Y = 10cos(t) + (cos(t) * 2sin(9t)) + (sin(t) * 18cos(9t))

    and then the slope I get (with derivative of y with respect to t divided by the derivative of x with respect to t) is .58104, which is completely reasonable. I've drawn a line tangent to the curve at that point, and it touches that point, and it *looks* like it really is a tangent, but I just want to make sure I derived x and y properly(and yes im in radians).

    EDIT: Okay, I can't delete this crap, but I basically know it works, so, yeah, beans
    Last edited by Silvercord; 12-17-2003 at 06:18 PM.

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