Results 1 to 4 of 4

Math Help - Displacement Vector

  1. #1
    Newbie
    Joined
    Jul 2008
    Posts
    12

    Displacement Vector

    If I have come variables x,y,d, and i(unit vector) how do I combine this into a displacement vector from an arbitrary origin 0. Or can I just us the general form of a displacement vector and substitute these variables in?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Jul 2008
    Posts
    12
    also, if i have z = x - xeq where xeq is the equilibrium position does the following differential equation satisfy this condition:

    mz'' + rx' +kx = kxeq

    this meant to model a forced oscillating system relating to that of an seismograph containing a model spring of force H, damping system of force R and mass of mass M
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,821
    Thanks
    317
    Awards
    1
    Quote Originally Posted by ohdearthisisheadrot View Post
    If I have come variables x,y,d, and i(unit vector) how do I combine this into a displacement vector from an arbitrary origin 0. Or can I just us the general form of a displacement vector and substitute these variables in?
    I'm not sure what your variables mean. The displacement vector is defined as
    \Delta \vec{x} = \vec{x} - \vec{x_0}
    where the vectors x and x0 are the final and initial position vectors respectively.

    Additionally the position vector is a kind of displacement if you want to think of it that way. The position vector is defined as the vector going from the origin to the position of the object.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,821
    Thanks
    317
    Awards
    1
    Quote Originally Posted by ohdearthisisheadrot View Post
    also, if i have z = x - xeq where xeq is the equilibrium position does the following differential equation satisfy this condition:

    mz'' + rx' +kx = kxeq

    this meant to model a forced oscillating system relating to that of an seismograph containing a model spring of force H, damping system of force R and mass of mass M
    z = x - x_{eq}

    z' = x'

    z'' = x''

    so yes.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. displacement
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 28th 2010, 05:33 PM
  2. displacement vector
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 10th 2010, 01:53 AM
  3. Magnitude of displacement vector
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: May 2nd 2009, 12:14 PM
  4. displacement vector problem
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 28th 2008, 02:11 PM
  5. Displacement
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 2nd 2006, 10:26 PM

Search Tags


/mathhelpforum @mathhelpforum