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Motion along a three-dimensional plane

  1. Oct 14, 2012 #1
    Hi, I am working on an example that demonstrates Newtons laws in 3-dimensions (this is NOT homework). In my example I focus on incline (frictionless) motion, which can be represented as below in 2-dimensions.

    http://imageshack.us/scaled/landing/855/212pxfreebodysvg.png [Broken]

    From Newtons second law (with proper choice of coordinate system) i get:
    F_y:= 0 = N - mg cos(alpha)
    F_x:= m a_x = f - mg sin(theta)
    which then gives me N and a_x.

    Can anybody help me with deriving a similar set of equations for a 3-dimensional system (xyz-system).
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Oct 14, 2012 #2

    Vanadium 50

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    For three dimensions you can always find a two-dimensional slice.
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