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Solving Differential Equations for Inclined Plane.

  1. Feb 10, 2012 #1
    1. The problem statement, all variables and given/known data

    http://img192.imageshack.us/img192/6482/asderl.jpg [Broken]

    Find S(t).

    2. Relevant equations

    I managed to find these equations, but dont know how to solve them completely.

    mx``=Rsinφ
    my``=Rcosφ-mg
    xtgφ+y=h
    x`(0)=0; x(0)=0; y`(0)=0; y(0)=h


    3. The attempt at a solution
    Need to find s(t). Is S=(x^2+y^2)^0.5?


    Thank you!
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Feb 10, 2012 #2

    ehild

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    According to the picture, s=(x^2+(xtanφ))^0.5.

    ehild
     
  4. Feb 10, 2012 #3
    Last edited by a moderator: May 5, 2017
  5. Feb 11, 2012 #4

    ehild

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    The question : what is R. If it is an arbitrary force, perpendicular to the surface, you have done. If it is the normal reaction force the slope exerts on the block, R=mg cos(φ).

    The solution of the problem "block sliding down on slope" is much easier with a coordinate system where the axes are aligned parallel with and perpendicular to the slope.

    ehild
     
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