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Elasticity question

  1. Mar 26, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the deformation of the object (delta l).

    Graphic:

    http://img202.imagevenue.com/img.php?image=59612_fis1_122_218lo.jpg"

    Y = young's modulus
    W = weight of the objects (see the picture)

    2. Relevant equations

    d = density
    d = M / V
    d = M/(A*delta l )
    M = d*A*delta l
    W = d*A*delta l*g
    delta (dx) = (f' * dx) / (A*Y)

    3. The attempt at a solution

    f' = force that compress the small piece (dx) of the bar.
    f' = W +( d*A*delta l *g ) + (d*A*delta l * a)
    f' = W + ( d *A*(l-x)*g) + (d*A*(l-x)*a)

    and also W = d*A*l*a
    f' = (d*A*l*a) + ( d *A*(l-x)*g) + (d*A*(l-x)*a)

    At this stage Is this procedure ok?

    Thanks
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
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